Ilusions in Rhinoplasty

Size: px
Start display at page:

Download "Ilusions in Rhinoplasty"

Transcription

1 Ilusions in Rhinoplasty Daniel G. Becker MD FACS PENN Medicine - BeckerENT Clinical Professor, Facial Plastic & Reconstructive Surgery Department of Otolaryngology-Head & Neck Surgery University of Pennsylvania

2 Illusions in Appearance Illusions are aspects of the nose that make the nose appear different than actual longer or shorter, more or less projected, etc These illusions can contribute to a favorable or desired appearance or detract from it. A solid foundation in NASAL ANATOMY and NASAL ANALYSIS is a prerequisite to a discussion of rhinoplasty illusions.

3 Surgical Anatomy A Prerequisite (see

4

5 and also

6 Illusions in Rhinoplasty Tardy ME Jr, Becker DG, et al Jul;11(3):

7 Illusions in Rhinoplasty: An Advanced Discussion of Nasal Analysis Lecture Goals: Understand Illusions in Rhinoplasty and How They Affect Surgical Decision Making

8 Nasal projection (objective definition): Anterior protrusion of nasal tip from face Goode's method: (an objective measure) A line drawn through the alar crease, perpendicular to the Frankfurt plane. The length of a horizontal line drawn from the nasal tip to the alar line divided by the length of the nasion-to nasal tip line. Normal, 0.55 to 0.60

9 Crumley's method: (another objective measure) The nose with normal projection forms a triangle (i.e., alar point-tonasal tip line (3), alar pointto-nasion line (4), nasion-tonasal tip line (5). With this method, the nasofacial angle is 36 degrees Byrd's method: (see above) Tip projection is two-thirds (0.67) the planned postoperative (or the ideal) nasal length. Ideal nasal length in this approach is two-thirds (0.67) the midfacial height (5)

10 Illusions of tip projection Dorsal hump creates illusion of relative underprojection Dorsal concavity creates illusion of relative overprojection. That is to say, changing the relationship between dorsum and tip can alter the appearance of projection.

11

12

13

14 Computer Simulation

15 Computer Simulation

16

17

18

19

20 Applying this Knowledge: An Overprojected Tip Gives the Appearance of a Weaker Dorsum So, deprojecting the tip should give an illusion of a stronger dorsum

21

22

23

24

25

26

27 Illusions of the Dorsum A dorsal convexity (aka hump ) gives the appearance of narrowness on frontal view This appearance can be addressed with hump reduction

28

29

30

31

32 Illusions of the Dorsum A low dorsum gives the appearance of increased nasal width due to less shadowing along the lateral nasal wall. This appearance can be significantly changed with augmentation.

33

34

35

36

37

38

39

40 Definition of length (complicated) The nose has (you see) 3 lengths Nasion to Tip is Central Length Nasion to Alar Margin are Lateral Lengths A short or long lateral length may reflect a retracted or hooded ala A short or long central length may reflect an acute or obtuse nasolabial angle Also, a deep nasofrontal angle creates an illusion of shorter length, and vice versa.

41 Nasofrontal angle A deep nasofrontal angle lends the appearance of a short nose, as does an obtuse nasolabial angle or accentuated double break

42

43 Computer simulation

44

45 Nasal length - tip An acute nasolabial angle lends the appearance of length An obtuse nasolabial angle lends an appearance of a shorter nose.

46

47

48

49

50

51

52 Nasal length and ala-columellar relationship 9 possible combinations Differing effects on the appearance of length

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

TO OUR KNOWLEDGE, VERY

TO OUR KNOWLEDGE, VERY ORIGINAL ARTICLE Measurement of Preoperative and Postoperative sal Tip Projection and Rotation Koen Ingels, MD, PhD; Kadir S. Orhan, MD Objective: To measure the effect of columellar struts and cephalic

More information

The Frontal View of the Nose: Lighting Effects and Photographic Bias

The Frontal View of the Nose: Lighting Effects and Photographic Bias Rhinoplasty The Frontal View of the Nose: Lighting Effects and Photographic Bias Aesthetic Surgery Journal 2015, Vol 35(5) 524 532 2015 The American Society for Aesthetic Plastic Surgery, Inc. Reprints

More information

PLASTIC DESIGNER. User's Manual. RUSSIA, St. Peterburg, tel. +7 (812)

PLASTIC DESIGNER. User's Manual. RUSSIA, St. Peterburg, tel. +7 (812) User's Manual NAUTILUS RUSSIA, St. Peterburg, tel. +7 (812) 973-3716 Email: nau@nausoft.net; http://www.nausoft.net/ 1 Introduction During the last years the computer became a usual phenomenon at the numerous

More information

H-Anim Facial Animation

H-Anim Facial Animation H-Anim Facial Animation Web3D and ISO/IEC JTC 1/SC 24 WG 9 Meetings Jan. 21, 2019 Jung-Ju Choi (Ajou University) Myeong Won Lee (The University of Suwon) Jan. 21, 2019 Web3D and SC 24 WG 9 Meetings 1 Jan.

More information

ORIGINAL ARTICLE. numerous articles on facial

ORIGINAL ARTICLE. numerous articles on facial Circles of rominence A New Theory on Facial Aesthetics ORIGINAL ARTICLE hilip A. Young, MD; Uttam Sinha, MD; Dale H. Rice, MD; Fred Stucker, MD Objective: To elucidate key elements of facial aesthetics

More information

Technique Guide. 2.4/2.7 mm Locking Tarsal Plates. Talus Plate, Navicular Plate and Cuboid Plate.

Technique Guide. 2.4/2.7 mm Locking Tarsal Plates. Talus Plate, Navicular Plate and Cuboid Plate. Technique Guide 2.4/2.7 mm Locking Tarsal Plates. Talus Plate, Navicular Plate and Cuboid Plate. Table of Contents Introduction 2.4/2.7 mm Locking Tarsal Plates 2 AO Principles 4 Indications 5 Clinical

More information

Several publications have sought to define the psychological. Predicting the results of rhinoplasty before surgery: Easy noses versus difficult noses

Several publications have sought to define the psychological. Predicting the results of rhinoplasty before surgery: Easy noses versus difficult noses ORIGINAL ARTICLE Predicting the results of rhinoplasty before surgery: Easy noses versus difficult noses Nabil Fanous MD FRCSC 1, Valérie Julie Brousseau MDCM 2, Naznin Karsan MD FRCSC 2, Amanda Fanous

More information

Photographic Standards in Plastic Surgery

Photographic Standards in Plastic Surgery Photographic Standards in Plastic Surgery The standard photographic views illustrated in this card were established by the Educational Technologies Committee of the Plastic Surgery Foundation. We feel

More information

ENT /2017-E. BEHRBOHM Instruments. for Revision Surgery of the Nose

ENT /2017-E. BEHRBOHM Instruments. for Revision Surgery of the Nose ENT 140 1.1 11/2017-E BEHRBOHM Instruments for Revision Surgery of the Nose Instruments for Revision Surgery of the Nose The instruments presented here result from years of experience in the field of revision

More information

Civil Engineering Drawing

Civil Engineering Drawing Civil Engineering Drawing Third Angle Projection In third angle projection, front view is always drawn at the bottom, top view just above the front view, and end view, is drawn on that side of the front

More information

Grade 4 Mathematics Item Specification C1 TL

Grade 4 Mathematics Item Specification C1 TL Task Model 1a Hot Spot DOK Level 1 4.G.A.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. Prompt

More information

AREA See the Math Notes box in Lesson for more information about area.

AREA See the Math Notes box in Lesson for more information about area. AREA..1.. After measuring various angles, students look at measurement in more familiar situations, those of length and area on a flat surface. Students develop methods and formulas for calculating the

More information

MANUFACTURING TECHNOLOGY

MANUFACTURING TECHNOLOGY MANUFACTURING TECHNOLOGY UNIT II SHEET METAL FORMING PROCESSES Sheet Metal Introduction Sheet metal is a metal formed into thin and flat pieces. It is one of the fundamental forms used in metalworking,

More information

Research Article Beyond Fifty Years of Millard s Rotation-Advancement Technique in Cleft Lip Closure: Are There Many Millards?

Research Article Beyond Fifty Years of Millard s Rotation-Advancement Technique in Cleft Lip Closure: Are There Many Millards? Volume 2012, Article ID 731029, 4 pages doi:10.1155/2012/731029 Research Article Beyond Fifty Years of Millard s Rotation-Advancement Technique in Cleft Lip Closure: Are There Many Millards? Renato da

More information

1 st Subject: 2D Geometric Shape Construction and Division

1 st Subject: 2D Geometric Shape Construction and Division Joint Beginning and Intermediate Engineering Graphics 2 nd Week 1st Meeting Lecture Notes Instructor: Edward N. Locke Topic: Geometric Construction 1 st Subject: 2D Geometric Shape Construction and Division

More information

The Anatomical Study of Superior and Middle Turbinates from Endoscopic Perspective

The Anatomical Study of Superior and Middle Turbinates from Endoscopic Perspective Original Research Article The Anatomical Study of Superior and Middle Turbinates from Endoscopic Perspective Gayatri Girish Muthiyan 1,*, Shanta Sunil Hattangdi 2, Payal Arvind Kasant 3 1 Assistant Professor,

More information

delivering an unrivaled performance. Rely on razor sharp edges for precision,

delivering an unrivaled performance. Rely on razor sharp edges for precision, ERIEM offers the exquisitely handcrafted RAZOR-EDGE SCISSORS, delivering an unrivaled performance. Rely on razor sharp edges for precision, a serrated blade for reduced tissue slippage, and a lifetime

More information

ORTHOGRAPHIC PROJECTIONS. Ms. Sicola

ORTHOGRAPHIC PROJECTIONS. Ms. Sicola ORTHOGRAPHIC PROJECTIONS Ms. Sicola Objectives List the six principal views of projection Sketch the top, front and right-side views of an object with normal, inclined, and oblique surfaces Objectives

More information

I BRITISH JOURNAL OF PLASTIC SURGERY

I BRITISH JOURNAL OF PLASTIC SURGERY British Journal of Plastic" Surgery (t 998), 51,363-369 9 1998 The British Association of Plastic Surgeons I BRITISH JOURNAL OF PLASTIC SURGERY Versatility of modified planimetric Z-plasties in the treatment

More information

Fracture fixation providing absolute or relative stability, as required by the personality of the fracture, the patient, and the injury.

Fracture fixation providing absolute or relative stability, as required by the personality of the fracture, the patient, and the injury. Course program AOCMF Advanced Innovations Symposium & Workshop on Technological Advances in Head and Neck and Craniofacial Surgery December 8-11, 2011, Bangalore, India Our mission is to continuously set

More information

Term 3 Grade 6 Visual Arts

Term 3 Grade 6 Visual Arts Term 3 Grade 6 Visual Arts Contents Self-Portrait... 2 What is a self-portrait?... 2 Layout and Medium... 2 Featured Artists... 3 Rembrandt van Rijn... 3 Vincent Willem van Gogh... 4 Drawing Faces... 4

More information

CURRICULUM VITAE. M. Polly McKinstry, M.D., F.I.C.S

CURRICULUM VITAE. M. Polly McKinstry, M.D., F.I.C.S CURRICULUM VITAE M. Polly McKinstry, M.D., F.I.C.S Business Addresses: 1. M. Polly McKinstry, M.D. 23521 Paseo de Valencia, Suite 301 Laguna Hills, CA 92653 949-595-0095 949-595-4459 FAX 2. Astorino &

More information

Auxiliary view KCEC1101

Auxiliary view KCEC1101 Auxiliary view KCEC1101 Introduction There are times when one of the six principal views will not completely describe an object. This is especially true when there are inclined or oblique planes or features

More information

Studio Lighting When using any type of studio lighting adjustments to heights and angles is a must All subjects vary in position so there is no writte

Studio Lighting When using any type of studio lighting adjustments to heights and angles is a must All subjects vary in position so there is no writte Studio Lighting When using any type of studio lighting adjustments to heights and angles is a must All subjects vary in position so there is no written rule This lesson will provide you with some guidelines

More information

edge of the section wound, probably from opening of the wound

edge of the section wound, probably from opening of the wound CORNEO-SCLERAL SUTURE IN CATARACT EXTRACTION 269 A CORNEO-SCLERAL SUTURE IN CATARACT EXTRACTION. ITS TECHNIQUE AND ADVANTAGES BY H. B. STALLARD LONDON THE use of a corneo-scleral suture in the operation

More information

Mathematical Construction

Mathematical Construction Mathematical Construction Full illustrated instructions for the two bisectors: Perpendicular bisector Angle bisector Full illustrated instructions for the three triangles: ASA SAS SSS Note: These documents

More information

Unit 2: Optics Part 2

Unit 2: Optics Part 2 Unit 2: Optics Part 2 Refraction of Visible Light 1. Bent-stick effect: When light passes from one medium to another (for example, when a beam of light passes through air and into water, or vice versa),

More information

ME 111: Engineering Drawing

ME 111: Engineering Drawing ME 111: Engineering Drawing Lecture 5 12-08-2011 Orthographic projection and Projection of Points Indian Institute of Technology Guwahati Guwahati 781039 1 Orthographic Projection A parallel projection

More information

DMT113 Engineering Drawing. Chapter 3 Stretch System

DMT113 Engineering Drawing. Chapter 3 Stretch System DMT113 Engineering Drawing Chapter 3 Stretch System Contents Theory & Multiview Planes 6 Principle Views Multiview Sketching Technique & Perspective First & Third Angle Multiview Representations Theory

More information

Physics 132: Lecture Fundamentals of Physics II

Physics 132: Lecture Fundamentals of Physics II Physics 132: Lecture Fundamentals of Physics II Mirrors Agenda for Today Concave Convex Mirror equation Curved Mirrors A Spherical Mirror: section of a sphere. R light ray C Concave mirror principal axis

More information

FOUNDATIONS in Portrait Drawing Volume 2. Michael R. Britton

FOUNDATIONS in Portrait Drawing Volume 2. Michael R. Britton FOUNDATIONS in Portrait Drawing Volume 2 Michael R. Britton FOUNDATIONS in Portrait Drawing Volume 2 Table of Contents Lesson 8: Drawing the Tilted Head Page 4 Lesson 9: Rendering Hair Page 8 Lesson 10:

More information

> 2: photo morph > objective(s): > curricular focus: > specifications: > instruction: see procedure on page 2

> 2: photo morph > objective(s): > curricular focus: > specifications: > instruction: see procedure on page 2 > objective(s): Students will seamlessly morph two photo sources into one image with all changes and integrations undetectable even when zoomed in > curricular focus: This lesson emphasizes the effective

More information

A Quantitative Assessment of the Morphology of the Piriform Aperture as an Indicator of Race

A Quantitative Assessment of the Morphology of the Piriform Aperture as an Indicator of Race Forensic Medicine and Anatomy Research, 2015, 3, 7-15 Published Online January 2015 in SciRes. http://www.scirp.org/journal/fmar http://dx.doi.org/10.4236/fmar.2015.31002 A Quantitative Assessment of the

More information

A portfolio of counter-examples

A portfolio of counter-examples A portfolio of counter-examples With answers Consider each of the following claims. All of them are false, and most are based on common misconceptions. Devise a counter example to show the claim is false.

More information

Drawing the Face WORKSHEET. Upper Palpebral Groove. Lacrimal Caruncle. Pupil. Iris Sclera. Helix Bridge. Tragus. Ala N ostril.

Drawing the Face WORKSHEET. Upper Palpebral Groove. Lacrimal Caruncle. Pupil. Iris Sclera. Helix Bridge. Tragus. Ala N ostril. Drawing the Face WORKSHEET Proportions of the Face - This refers to how large and small facial features and areas of the face are in relation to each other. There are basic rules that you can learn to

More information

Page 3 of 26 Copyright 2014 by The McGraw-Hill Companies, Inc.

Page 3 of 26 Copyright 2014 by The McGraw-Hill Companies, Inc. 1. This picture shows the side of Allen's desk. What type of angle is made by the top of Allen's desk and one of the legs? A acute B obtuse C right D straight 2. Look at these two shapes on the grid. Draw

More information

BASICS: NOT SO BASIC BASICS

BASICS: NOT SO BASIC BASICS BASICS: Richard L. Yepez and Kathleen E. Yepez An Art Skills Tutorial Commissioned by the Center for Science Education Research at the University of Texas at Dallas Copyright 2005-2006 by Richard L. Yepez

More information

What You ll Learn. Why It s Important

What You ll Learn. Why It s Important Many artists use geometric concepts in their work. Think about what you have learned in geometry. How do these examples of First Nations art and architecture show geometry ideas? What You ll Learn Identify

More information

28 Thin Lenses: Ray Tracing

28 Thin Lenses: Ray Tracing 28 Thin Lenses: Ray Tracing A lens is a piece of transparent material whose surfaces have been shaped so that, when the lens is in another transparent material (call it medium 0), light traveling in medium

More information

ENGINEERING GRAPHICS 1E9

ENGINEERING GRAPHICS 1E9 Lecture 3 Monday, 15 December 2014 1 ENGINEERING GRAPHICS 1E9 Lecture 3: Isometric Projections Lecture 3 Monday, 15 December 2014 2 What is ISOMETRIC? It is a method of producing pictorial view of an object

More information

THE INFLUENCE OF MEDICAL PHOTOGRAPHY S WESTMINSTER REPRODUCTION RATIOS ON STANDARDIZATION IN FORENSIC PHOTOGRAPHY AN OPINION

THE INFLUENCE OF MEDICAL PHOTOGRAPHY S WESTMINSTER REPRODUCTION RATIOS ON STANDARDIZATION IN FORENSIC PHOTOGRAPHY AN OPINION THE INFLUENCE OF MEDICAL PHOTOGRAPHY S WESTMINSTER REPRODUCTION RATIOS ON STANDARDIZATION IN FORENSIC PHOTOGRAPHY AN OPINION Hoosain M Ebrahim Department of Medical Illustration and Audio Visual Services

More information

PRIMARY LIGHTING PATTERNS OF CLASSIC PORTRAITURE

PRIMARY LIGHTING PATTERNS OF CLASSIC PORTRAITURE PRIMARY LIGHTING PATTERNS OF CLASSIC PORTRAITURE http://www.portraitlighting.net/patternsb.htm http://www.digital-photo-secrets.com/tip/2627/frontlight-vs-side-light-vs-back-light/ This section contains

More information

Alae Tracker: Tracking of the Nasal Walls in MR-Imaging

Alae Tracker: Tracking of the Nasal Walls in MR-Imaging Alae Tracker: Tracking of the Nasal Walls in MR-Imaging Katharina Breininger 1, Andreas K. Maier 1, Christoph Forman 1, Wilhelm Flatz 2, Catalina Meßmer 3, Maria Schuster 3 1 Pattern Recognition Lab, Friedrich-Alexander-Universität

More information

The Drawing EZine. The Drawing EZine features ELEMENTS OF FACIAL EXPRESSION Part 1. Artacademy.com

The Drawing EZine. The Drawing EZine features ELEMENTS OF FACIAL EXPRESSION Part 1. Artacademy.com The Drawing EZine Artacademy.com The Drawing EZine features ELEMENTS OF FACIAL EXPRESSION Part 1 T the most difficult aspect of portrait drawing is the capturing of fleeting facial expressions and their

More information

The Drawing EZine. The Drawing EZine features ELEMENTS OF FACIAL EXPRESSION Part 1. Artacademy.com. November 2014

The Drawing EZine. The Drawing EZine features ELEMENTS OF FACIAL EXPRESSION Part 1. Artacademy.com. November 2014 The Drawing EZine Artacademy.com November 2014 The Drawing EZine features ELEMENTS OF FACIAL EXPRESSION Part 1 T the most difficult aspect of portrait drawing is the capturing of fleeting facial expressions

More information

E G 2 3. MATH 1012 Section 8.1 Basic Geometric Terms Bland

E G 2 3. MATH 1012 Section 8.1 Basic Geometric Terms Bland MATH 1012 Section 8.1 Basic Geometric Terms Bland Point A point is a location in space. It has no length or width. A point is represented by a dot and is named by writing a capital letter next to the dot.

More information

The Pythagorean Theorem and Right Triangles

The Pythagorean Theorem and Right Triangles The Pythagorean Theorem and Right Triangles Student Probe Triangle ABC is a right triangle, with right angle C. If the length of and the length of, find the length of. Answer: the length of, since and

More information

PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions.

PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions. Know: Understand: Do: CC.2.3.4.A.1 -- Draw lines and angles and identify these in two-dimensional figures. CC.2.3.4.A.2 -- Classify twodimensional figures by properties of their lines and angles. CC.2.3.4.A.3

More information

Beginning Engineering Graphics 3 rd Week Lecture Notes Instructor: Edward N. Locke Topic: The Coordinate System, Types of Drawings and Orthographic

Beginning Engineering Graphics 3 rd Week Lecture Notes Instructor: Edward N. Locke Topic: The Coordinate System, Types of Drawings and Orthographic Beginning Engineering Graphics 3 rd Week Lecture Notes Instructor: Edward N. Locke Topic: The Coordinate System, Types of Drawings and Orthographic 1 st Subject: The Cartesian Coordinate System The Cartesian

More information

Chalice Arts UK Limited

Chalice Arts UK Limited 1 Chalice Arts UK Limited Drawing Portraits INSET By Stephen Bruce Stephen Bruce 2015 2 Drawing Faces Aim To provide an overview of how to teach the key points of drawing frontal portraits. Objectives

More information

Plan of the course ENT. Academic year 2017/2018. izv. prof. dr. sc. Tomislav Baudoin prof. dr. sc. Drago Prgomet

Plan of the course ENT. Academic year 2017/2018. izv. prof. dr. sc. Tomislav Baudoin prof. dr. sc. Drago Prgomet UNIVERSITY OF ZAGREB SCHOOL OF MEDICINE Plan of the course ENT Academic year 2017/2018 prof. dr. sc. Drago Prgomet I. COURSE AIMS C O U R S E A I M S : The aim of the otorhinolaryngology course is to provide

More information

G. Perseo* Corresponding author: Dr. Gianluca Perseo Marburg Deutschland

G. Perseo* Corresponding author: Dr. Gianluca Perseo Marburg Deutschland Original Article Published on 29-12-2002 In italiano, per favore En español, por favor The "Beauty" of Homo sapiens sapiens: standard canons, ethnical, geometrical and morphological facial biotypes. an

More information

Lenses. A lens is any glass, plastic or transparent refractive medium with two opposite faces, and at least one of the faces must be curved.

Lenses. A lens is any glass, plastic or transparent refractive medium with two opposite faces, and at least one of the faces must be curved. PHYSICS NOTES ON A lens is any glass, plastic or transparent refractive medium with two opposite faces, and at least one of the faces must be curved. Types of There are two types of basic lenses. (1.)

More information

Reflex Hybrid System Overview

Reflex Hybrid System Overview Spine Reflex Hybrid System Overview Anterior Cervical Plating System Introduction The Reflex Hybrid ACP System offers a low-profile anterior cervical plate along with a selection of bone screw types to

More information

Breast Photography. IMI National Guidelines: Guide to Good Practice. clinical photography, design and video in healthcare. Jan 2012.

Breast Photography. IMI National Guidelines: Guide to Good Practice. clinical photography, design and video in healthcare. Jan 2012. p IMI National Guidelines: Guide to Good Practice Breast Photograp clinical photograp, design and video in healthcare Introduction This particular aspect of medical illustration is well established in

More information

Euclid s Muse MATERIALS VOCABULARY. area perimeter triangle quadrilateral rectangle line point plane. TIME: 40 minutes

Euclid s Muse MATERIALS VOCABULARY. area perimeter triangle quadrilateral rectangle line point plane. TIME: 40 minutes Euclid s Muse In this activity, participants match geometry terms to definitions and definitions to words. MATERIALS Transparency: Euclid s Muse Directions Transparency/Page: Euclid s Muse Transparency/Page:

More information

Surgitron Dual Frequency 4.0 MHz Radiowave Technology

Surgitron Dual Frequency 4.0 MHz Radiowave Technology Surgitron Dual Frequency 4.0 MHz Radiowave Technology With over 50 years of experience, over 70 patents and more than 200 journal articles, Ellman is your trusted worldwide partner for surgical products

More information

Naming Angles. Quick Review. Try These UNIT 4. An angle is formed when 2 lines meet.

Naming Angles. Quick Review. Try These UNIT 4. An angle is formed when 2 lines meet. UNIT 4 1 STUDENT BOOK Naming Angles LESSO N Quick Review At At Home Sc h o o l An angle is formed when 2 lines meet. right angle straight angle An acute angle An obtuse angle is A reflex angle is is less

More information

18.3. Stationary Points. Introduction. Prerequisites. Learning Outcomes

18.3. Stationary Points. Introduction. Prerequisites. Learning Outcomes Stationary Points 8.3 Introduction The calculation of the optimum value of a function of two variables is a common requirement in many areas of engineering, for example in thermodynamics. Unlike the case

More information

Drawing: technical drawing TECHNOLOGY

Drawing: technical drawing TECHNOLOGY Drawing: technical drawing Introduction Humans have always used images to communicate. Cave paintings, some of which are over 40,000 years old, are the earliest example of this artistic form of communication.

More information

Physics 132: Lecture Fundamentals of Physics

Physics 132: Lecture Fundamentals of Physics Physics 132: Lecture Fundamentals of Physics II Agenda for Today Mirrors Concave Convex e Mirror equation Physics 201: Lecture 1, Pg 1 Curved mirrors A Spherical Mirror: section of a sphere. R light ray

More information

MANUFACTURING PROCESSES

MANUFACTURING PROCESSES 1 MANUFACTURING PROCESSES - AMEM 201 Lecture 9: Sheet Metal Cutting & Forming Processes DR. SOTIRIS L. OMIROU Sheet Metal Cutting & Forming Processes - Application field- Sheet metal processing is an important

More information

San Diego. March 2, American College of Surgeons Surgical Health Care Quality Forum. American College of Surgeons

San Diego. March 2, American College of Surgeons Surgical Health Care Quality Forum. American College of Surgeons American College of Surgeons Inspiring Quality: Highest Standards, Better Outcomes American College of Surgeons Surgical Health Care Quality Forum San Diego March 2, 2012 Scripps Memorial Hospital La Jolla

More information

Introduction to Statics

Introduction to Statics Introduction to Statics.PDF Edition Version 0.95 Unit 11 First Moments Helen Margaret Lester Plants Late Professor Emerita Wallace Starr Venable Emeritus Associate Professor West Virginia University, Morgantown,

More information

LENSES. A lens is any glass, plastic or transparent refractive medium with two opposite faces, and at least one of the faces must be curved.

LENSES. A lens is any glass, plastic or transparent refractive medium with two opposite faces, and at least one of the faces must be curved. 1 LENSES A lens is any glass, plastic or transparent refractive medium with two opposite faces, and at least one of the faces must be curved. Types of Lenses There are two types of basic lenses: Converging/

More information

CTB/McGraw-Hill. Math Quarter 2: Week 5: Mixed Review Test ID:

CTB/McGraw-Hill. Math Quarter 2: Week 5: Mixed Review Test ID: Page 1 of 35 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. All rights reserved. Only authorized customers

More information

Geometry Midterm Review Spring 2011 Name Date Period. 2. Name three points that are collinear Name a pair of opposite rays. 3.

Geometry Midterm Review Spring 2011 Name Date Period. 2. Name three points that are collinear Name a pair of opposite rays. 3. Name Date Period Unit 1 1. Give two other names for AB. 1. 2. Name three points that are collinear. 2. 3. Name a pair of opposite rays. 3. 4. Give another name for CD. 4. Point J is between H and K on

More information

Constructing Perpendiculars to a Line. Finding the Right Line. Draw a line and a point labeled P not on the line, as shown above.

Constructing Perpendiculars to a Line. Finding the Right Line. Draw a line and a point labeled P not on the line, as shown above. Page 1 of 5 3.3 Intelligence plus character that is the goal of true education. MARTIN LUTHER KING, JR. Constructing Perpendiculars to a Line If you are in a room, look over at one of the walls. What is

More information

LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII. Mathematics Laboratory

LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII. Mathematics Laboratory LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII Mathematics Laboratory The concept of Mathematics Laboratory has been introduced by the Board in its affiliated schools with the objective

More information

MULTIPLE CHOICE QUESTIONS - CHAPTER 6

MULTIPLE CHOICE QUESTIONS - CHAPTER 6 MULTIPLE CHOICE QUESTIONS - CHAPTER 6 1. The selection of the front view in executing a multiview drawing of an object is dependent upon the following factors: a. size and shape of the object and their

More information

REFLECTION THROUGH LENS

REFLECTION THROUGH LENS REFLECTION THROUGH LENS A lens is a piece of transparent optical material with one or two curved surfaces to refract light rays. It may converge or diverge light rays to form an image. Lenses are mostly

More information

Dental Photography 6/16/2016. Photographic Fundamentals. Photography is important to dentistry!

Dental Photography 6/16/2016. Photographic Fundamentals. Photography is important to dentistry! Dental Photography Fundamentals and Application WORKSHOP 2018 Photography is important to dentistry! Good photographs are important for dentists and dental records, so we all need to know how to get them

More information

> photo morph. > curricular focus: This lesson emphasizes the effective blending of multiple images resources using the Clone tool and Healing Brush

> photo morph. > curricular focus: This lesson emphasizes the effective blending of multiple images resources using the Clone tool and Healing Brush > objective(s): Students will seamlessly morph two photo sources into one image with all changes and integrations undetectable even when zoomed in > curricular focus: This lesson emphasizes the effective

More information

Geometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1

Geometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1 Postulates and Theorems from Chapter 1 Postulate 1: The Ruler Postulate 1. The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1. 2. Once

More information

NEW MINIMALLY-INVASIVE REJUVENATION METHODS. APTOS Catalogue

NEW MINIMALLY-INVASIVE REJUVENATION METHODS. APTOS Catalogue NEW MINIMALLY-INVASIVE REJUVENATION METHODS APTOS Catalogue APTOS Thread An ageing face is characterized by flabbiness and ptosis of facial soft tissues, as well as by wrinkles and skin folds. Till recently

More information

Sulcoflex. For when perfection is the only option! Pseudophakic Sulcus Fixated Secondary IOLs. Sulcoflex Aspheric. Sulcoflex Toric

Sulcoflex. For when perfection is the only option! Pseudophakic Sulcus Fixated Secondary IOLs. Sulcoflex Aspheric. Sulcoflex Toric Sulcoflex Pseudophakic Sulcus Fixated Secondary IOLs Sulcoflex Aspheric Sulcoflex Toric Sulcoflex Multifocal For when perfection is the only option! Sulcoflex Pseudophakic Sulcus Fixated Secondary IOLs

More information

Gonioscopy Wet-Lab. About Me. About Me Gonioscopy. Indications for Gonioscopy. Billing Gonioscopy 12/13/2012. Code: 92020

Gonioscopy Wet-Lab. About Me. About Me Gonioscopy. Indications for Gonioscopy. Billing Gonioscopy 12/13/2012. Code: 92020 About Me Gonioscopy Wet-Lab Marcus Gonzales, OD, FAAO Cedar Springs Eye Clinic (formerly BridgeBuilders Eye Clinic) About Me Gonioscopy Evaluates the anterior chamber angle responsible for the outflow

More information

TERRA Environmental Research Institute

TERRA Environmental Research Institute TERRA Environmental Research Institute MATHEMATICS FCAT PRACTICE STRAND 3 Geometry and Spatial Sense Angle Relationships Lines and Transversals Plane Figures The Pythagorean Theorem The Coordinate Plane

More information

Fitting Manual Use with kerasofttraining.com

Fitting Manual Use with kerasofttraining.com Fitting Manual Use with Fitting Manual: Contents This fitting manual is best used in conjunction with KeraSoft IC online training. To register, please visit www. 01 Kerasoft IC Design - Outlines the KeraSoft

More information

An Objective Comparison of 35-mm Film and Digital Camera Image Quality: A New Gold Standard American Medical Association. All rights reserved.

An Objective Comparison of 35-mm Film and Digital Camera Image Quality: A New Gold Standard American Medical Association. All rights reserved. tion thus consists of 2 possibilities: (1) a planned lip adhesion with a definitive repair staged at a later date or (2) surgical setback of the premaxilla. Because of the lack of long-term follow-up,

More information

Geometry Vocabulary Book

Geometry Vocabulary Book Geometry Vocabulary Book Units 2-4 Page 1 Unit 2 General Geometry Point Characteristics: Line Characteristics: Plane Characteristics: RELATED POSTULATES: Through any two points there exists exactly one

More information

Geometrical Optics. Have you ever entered an unfamiliar room in which one wall was covered with a

Geometrical Optics. Have you ever entered an unfamiliar room in which one wall was covered with a Return to Table of Contents HAPTER24 C. Geometrical Optics A mirror now used in the Hubble space telescope Have you ever entered an unfamiliar room in which one wall was covered with a mirror and thought

More information

Introduction to weaving: Make a wall hanging

Introduction to weaving: Make a wall hanging Introduction to weaving: Make a wall hanging By Leni Collin from SomethingBoHo Introduction In this tutorial, I give you the basic skills and tips to make a wall hanging using different weaving techniques.

More information

Lesson 12: Unique Triangles Two Sides and a Non- Included Angle

Lesson 12: Unique Triangles Two Sides and a Non- Included Angle Lesson 12: Unique Triangles Two Sides and a Non- Included Angle Student Outcomes Students understand that two sides of a triangle and an acute angle, not included between the two sides, may not determine

More information

MEASURING SHAPES M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier

MEASURING SHAPES M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier Mathematics Revision Guides Measuring Shapes Page 1 of 17 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier MEASURING SHAPES Version: 2.2 Date: 16-11-2015 Mathematics Revision Guides

More information

The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that. Unit 4, 29.2

The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that. Unit 4, 29.2 In the construction for bisecting a segment, make sure you open the compass to a length half the length of the line segment and use the same setting to draw an arc from each endpoint. Unit 4, 29.1 In the

More information

Projectiles: Target Practice Student Version

Projectiles: Target Practice Student Version Projectiles: Target Practice Student Version In this lab you will shoot a chopstick across the room with a rubber band and measure how different variables affect the distance it flies. You will use concepts

More information

Complete Drawing and Painting Certificate Course

Complete Drawing and Painting Certificate Course Complete Drawing and Painting Certificate Course Title: Unit Four Portraiture Foundations Medium: Drawing in graphite and charcoal Level: Beginners Week: Two Course Code: Page 1 of 15 Week Two: General

More information

Lenses. Images. Difference between Real and Virtual Images

Lenses. Images. Difference between Real and Virtual Images Linear Magnification (m) This is the factor by which the size of the object has been magnified by the lens in a direction which is perpendicular to the axis of the lens. Linear magnification can be calculated

More information

1 Version 2.0. Related Below-Grade and Above-Grade Standards for Purposes of Planning for Vertical Scaling:

1 Version 2.0. Related Below-Grade and Above-Grade Standards for Purposes of Planning for Vertical Scaling: Claim 1: Concepts and Procedures Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency. Content Domain: Geometry Target E [a]: Draw, construct,

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Draw the given angle in standard position. Draw an arrow representing the correct amount of rotation.

More information

Solutions to Exercise problems

Solutions to Exercise problems Brief Overview on Projections of Planes: Solutions to Exercise problems By now, all of us must be aware that a plane is any D figure having an enclosed surface area. In our subject point of view, any closed

More information

LAB 9.2 The Pythagorean Theorem

LAB 9.2 The Pythagorean Theorem LAB 9.2 The Pythagorean Theorem Equipment: Geoboards, dot paper 1. The figure above shows a right triangle with a square on each side. Find the areas of the squares. 2. Make your own right triangles on

More information

Physics 228 Lecture 3. Today: Spherical Mirrors Lenses.

Physics 228 Lecture 3. Today: Spherical Mirrors Lenses. Physics 228 Lecture 3 Today: Spherical Mirrors Lenses www.physics.rutgers.edu/ugrad/228 a) Santa as he sees himself in a mirrored sphere. b) Santa as he sees himself in a flat mirror after too much eggnog.

More information

2 ND ANKARA ROBOTIC UROLOGY

2 ND ANKARA ROBOTIC UROLOGY 5 th year in Robotic Urology (2009-2013): more than 550 cases in 5 years 2 ND ANKARA ROBOTIC UROLOGY SYMPOSIUM AND COURSE Registration: Free of charge! Date: 7-9. June. 2013 Venue: YILDIRIM BEYAZIT UNIVERSITY,

More information

2. Where might you find an example of a right angle in your home? How could you check that it is a right angle?

2. Where might you find an example of a right angle in your home? How could you check that it is a right angle? Master 4.22 Extra Practice 1 Lesson 1: Naming Angles 1. Look at the angles in each of the shapes below. Which angles are acute, right, or obtuse angles? How do you know? 2. Where might you find an example

More information

Robot assisted craniofacial surgery: first clinical evaluation

Robot assisted craniofacial surgery: first clinical evaluation Robot assisted craniofacial surgery: first clinical evaluation C. Burghart*, R. Krempien, T. Redlich+, A. Pernozzoli+, H. Grabowski*, J. Muenchenberg*, J. Albers#, S. Haßfeld+, C. Vahl#, U. Rembold*, H.

More information

FOUNDATIONS in Portrait Drawing Volume 1. Michael R. Britton

FOUNDATIONS in Portrait Drawing Volume 1. Michael R. Britton FOUNDATIONS in Portrait Drawing Volume 1 Michael R. Britton FOUNDATIONS in Portrait Drawing Volume 1 Table of Contents Lesson 1: The Arabesque: A Dynamic Correspondence Page 3 Lesson 2: About Looking:

More information

These thickness gauges are especially handy for measuring thickness of small

These thickness gauges are especially handy for measuring thickness of small Thickness s mm type These thickness gauges are especially handy for measuring thickness of small parts, metal, rubber, vinyl, paper, foil and other sheet material. The objects to be measured is clamped

More information

Technical Tips. Using Bundle Breaker (rotary corrugated applications) In General, bundle breaker rule is determined based on the following criteria:

Technical Tips. Using Bundle Breaker (rotary corrugated applications) In General, bundle breaker rule is determined based on the following criteria: Technical Tips 080215_BBarticle Using Bundle Breaker (rotary corrugated applications) Bundle Breaker: a mechanical device designed specifically to separate ganged, multiout sheets after they have been

More information