Points, lines, circles, and arcs In this lecture we focus on geometric construction techniques that are needed to do manual drafting assignments.  Dividing.

Slides:



Advertisements
Similar presentations
A New Look at Conic Sections
Advertisements

Conic Sections: Eccentricity
THE ELLIPSE. The Ellipse Figure 1 is ellipse. Distance AB and CD are major and minor axes respectively. Half of the major axis struck as a radius from.
Geometric Construction Notes 2
Chapter 5 Review Chapter 6 Multiview
Geometric Construction
OBJECTIVES: STUDENTS WILL BE ABLE TO… USE THE RELATIONSHIP BETWEEN A RADIUS AND A TANGENT USE THE RELATIONSHIP BETWEEN 2 TANGENTS FROM ONE POINT FIND THE.
ENS 207 engineering graphics
9-6 Other Angles Thrm and examples. Examples EF is tangent to the circle A Measure of arc GB is 110 degrees Angle E is 30 degrees Measure of.
SDC PUBLICATIONS © 2011 Chapter 3 Geometric Construction and Editing Tools Learning Objectives:  Set up the display of Drawing Units.  Display AutoCAD's.
Graphics 2: Isometric Sketching From Different View Points
Mrs. Rivas International Studies Charter School. Objective: To make basic construction using straightedge and compass. Vocabulary: Straightedge Straightedge.
Copyright  2012 McGraw-Hill Australia Pty Ltd PPTs t/a Engineering Drawing 8e by Boundy 5-1 Chapter Five Geometrical Constructions.
CE En 112 Engineering Drawing with CAD Application Manual Drafting Supplement (Lecture C) Engineering Geometry and Construction.
ENGINEERING GRAPHICS 1E7
9.1 Parametric Curves 9.2 Calculus with Parametric Curves.
Constructing Regular Hexagons Inscribed in Circles Adapted from Walch Education.
SDC PUBLICATIONS © 2012 Chapter 3 Geometric Construction and Editing Tools Learning Objectives:  Set up the display of Drawing Units.  Display AutoCAD's.
Constructing Inscribed Circles Adapted from Walch Education.
Introduction The ability to copy and bisect angles and segments, as well as construct perpendicular and parallel lines, allows you to construct a variety.
Module 2: Geometric Constructions
CHAPTER 1: Tools of Geometry
Taxicab Geometry The student will learn about: other geometric figures in Taxicab Geometry. 1.
Conics, Parametric Equations, and Polar Coordinates
Chapter 10.5 Conic Sections. Def: The equation of a conic section is given by: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 Where: A, B, C, D, E and F are not.
Warm Up What is the standard form of a parabola? What is the standard form of a circle? What is the standard form of a ellipse? What is the standard form.
Geometric Constructions
Geometric Construction
W ELCOME Engineering Graphics - Lect 2 1. O VERVIEW OF P LANE C URVES Conic Section Involute Cycloid 2.
TA 101: Technical Arts II Dr. Prishati Raychowdhury
TODAY IN GEOMETRY…  Review: Properties of Tangents  Learning Target : 10.2 You will use angle measures to find arc measures.  Independent practice.
The Ellipse. a b b a 3 4 When the size of a becomes the same as b, we get a circle.
Sketching an Isometric Circle © 2012 Project Lead The Way, Inc.Introduction to Engineering Design.
Unit 5: Conics Feb. 3, What is Conics? This is the short term for conic sections. -Conic Sections include circles, parabolas, ellipses, and hyperbolas.
Constraints. Constraints in Inventor ? Constraints Defined Constraint - The state of being restricted or confined within prescribed bounds.
W ELCOME Engineering Graphics - Lect 2 1. O VERVIEW OF P LANE C URVES Regular Polygons up to hexagon. Conic Section Involute Cycloid Archimedian Spiral.
1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.
WRITING EQUATIONS OF CONICS IN VERTEX FORM MM3G2.
Engineering Graphics MENG104 Lecture : Ali Vatankhah.
Unit 1 Drafting Standards & Techniques -Sketching.
Constructions Bisect – To divide something into two equal parts Perpendicular – Lines that intersect to form right angles. Today’s constructions: –Bisect.
Conic Sections Practice. Find the equation of the conic section using the given information.
10.0 Conic Sections. Conic Section – a curve formed by the intersection of a plane and a double cone. By changing the plane, you can create a circle,
Apply other angle relationships in circles
Angle Relationships in circles
Geometric Construction
GEOMETRIC CONSTRUCTION
11.0 Analytic Geometry & Circles
Engineering Graphics Lecture Notes
GEOMETRIC CONSTRUCTIONS
Section 10.5 Angles in Circles.
Ch 1-6 Basic Constructions
Do Now One-half of the measure of an angle plus the angle’s supplement is equal to the measure of the angle. Find the measure of the angle.
Center (-4, -6); Point of Tangency (-4, -9)
Constructional Geometry
ENGN103 Engineering Drawing geometric constructions
loft from circle shape to circle shape
Curved Surfaces in Isometric Sketches
6-2 Conic Sections: Circles
Implicit Differentiation
Sketching an Isometric Circle
Writing equations of conics in vertex form
Math III Warm Up 2/24/14 Complete the square: 1.
10.5 Angle Relationships in Circles
MATH THS – Standard Geometry
Sketching an Isometric Circle
Circle O with tangent DE and Find all of the numbered angles.
principle of geometric construction Prepared by: Asst. lecture
Basic Constructions.
Geometric Construction
Presentation transcript:

Points, lines, circles, and arcs In this lecture we focus on geometric construction techniques that are needed to do manual drafting assignments.  Dividing a line into equal parts (4.5.2)

Points, lines, circles, and arcs (cont.)  Constructing arcs tangent to two lines (4.5.3)

Points, lines, circles, and arcs (cont.)  Constructing an arc tangent to a line and another arc

Points, lines, circles, and arcs (cont.)  Constructing an arc tangent to two given arcs or circles

Points, lines, circles, and arcs (cont.)  Constructing an arc tangent to two given arcs

Points, lines, circles, and arcs (cont.)  Constructing an arc tangent to a given arc

Points, lines, circles, and arcs (cont.)  Constructing lines tangent to two circles o arcs, using a straightedge (a trial and error method)

Conic curves : Ellipses

Conic curves : Ellipses (cont.)