Upload File

tangents- definition geometric constructions a line is a tangent to a circle if it touches the...

  • Home
  • Documents
  • Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point
31
Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Upload: skylar-dowler

Post on 14-Dec-2015

221 views

Category:

Documents


0 download

Report

TRANSCRIPT

Page 1: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Tangents- DefinitionG

eom

etric

Con

stru

ctio

nsG

eom

etric

Con

stru

ctio

ns

A line is a tangent to a circle if it touches

the circle at only one point

Page 2: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Tangents- DefinitionG

eom

etric

Con

stru

ctio

nsG

eom

etric

Con

stru

ctio

ns

Two curves are tangent to each other if the

touch in one and only one place

Page 3: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Geometric location of tangent point

The tangent point of a straight line and circle will lie at the

intersection of a perpendicular to the straight line that passes

through the center of the circle.

Page 4: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Geometric location of tangent point

The tangent point of two circles will lie on the circumferences

of both circles and on a straight line connecting the circle

centers

Page 5: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Straight Line Tangents to a Circle from an External point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 6: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Straight Line Tangents to a Circle from an External point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 7: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Rr

R-r

R-r

Common Parallel Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 8: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Rr

Common Parallel Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 9: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Rr

R+r

R+r

Common Cross Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 10: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Rr

Common Cross Straight Line Tangents to Two Circles of Radius ‘R’ and ‘r’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 11: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R

R

R

R

Circular Tangent of Radius ‘R’ Between a Point to a Straight Line

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 12: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R R

R

R

R

Circular Tangent of Radius R Between Two Straight Lines at an Angle

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 13: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R

R

R

R+r r

R

R R

Internal Circular Tangent of Radius ‘R’ Between a Straight Line and a Circle of Radius ‘r’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 14: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R

R

R

R-r r

R

R

R

R-r

External Circular Tangent of Radius ‘R’ Between a Straight Line and a Circle of Radius ‘r’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 15: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R+r1

r2

R+r2

R

r1

R+r1

R+r2

R

Internal Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 16: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R-r1

r2

R-r2 R

r1

R-r1

R-r2

R

External Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 17: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R-r1

r2

R+r2R

r1

R-r1

R+r2

R

Cross Circular Tangent of Radius ‘R’ Between Two Circles of Radius ‘r1’ and ‘r2’

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Tangents- Construction

Page 18: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Basic Sketching Line types

Visible Object – ThickVisible Edges and Outlines

Hidden – ThinHidden detail for like wall

thickness and holes..

Center - Thin centre of a circle, cylindrical

features, or a line of symmetry.

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

1mm3mm

1mm

3mm15-20mm

0.7mmHB

0.3mm2H

0.3mm2H

Page 19: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Line Types An Example:

1. Visible

2. Hidden

3. Center

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Page 20: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Intersection of Lines

Solid Line Intersections

Dashed Line Intersections

GapGeo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Page 21: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Hidden Line ConventionsG

eom

etric

Con

stru

ctio

nsG

eom

etric

Con

stru

ctio

ns

Page 22: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Hidden Line ConventionsG

eom

etric

Con

stru

ctio

nsG

eom

etric

Con

stru

ctio

ns

Page 23: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Centerline Conventions

Extend 5mm

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Page 24: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Lettering : Basic Strokes

Straight Slanted CurvedHorizontal

1 1 2

3

“I” letter “A” letter

1

2

3

4 5

6

“B” letter

Examples:

Page 25: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions

Lettering : Upper Case & Numerals

Page 26: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions Gothic vertical style.

Always use capital letters.

Text height 3~5 mm.

Space between lines of text is about of text height.

Lettering : Rules

Space between words equal to the space required for

writing a letter “O”.

Example:

ALL DIMENSIONS ARE INMILLIMETERS

O O OO UNLESS

OTHERWISE SPECIFIED.O

Page 27: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

85

R100

R85

85

R100

R85

R70

R70

R70

R70

Tangents- CW 1G

eom

etric

Con

stru

ctio

nsG

eom

etric

Con

stru

ctio

ns

Page 28: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

30200

140

80

Page 29: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point
Page 30: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

R=44

R=18

R=16+19=35

R=16

R=8

R=22-5=17R=22

+5=2

7

R=19

R=18+22=40

R=44+22=66

R=19

R=19

Page 31: Tangents- Definition Geometric Constructions A line is a tangent to a circle if it touches the circle at only one point

Geo

met

ric C

onst

ruct

ions

Geo

met

ric C

onst

ruct

ions


10.3 Tangents in a Circle

Unit 11: Circles 10.5 Tangents · 2014. 3. 8. · 10.5 Tangents.notebook March 06, 2014 Unit 11: Circles 10.5 Tangents Tangent A line that touches a circle only one point (called

Properties of the Tangents to a Circle that Forms Pascal

Geometry 9.5 Tangents to Circles. Objectives Identify segments and lines related to circles. Use properties of a tangent to a circle

Circle theorems Double Angle Triangles inside Circles Angles connected by a chord Tangents to a circle Cyclic Quadrilaterals

Common Tangents

How do I use the properties of tangents to identify lengths in a circle? How do you use information of a circle to find arc measures?

Geometry Of The Circle Tangents & Secants GOT O T CC TGTS

Date: Sec 10-1 Concept: Tangents to Circles Objective: Given a circle, identify parts and properties as measured by a s.g

6.2 Tangents

9-1: Circle Basics GEOMETRY UNIT 9 And 9-2: Tangent ...mrleongeometry.weebly.com/.../9-1_9-2_circle_basics.pdfCorollary: Tangents to a circle from a point are congruent If: and are

22 Tangents

Tangents to a Circle

 · Intersections Outside a Circle If secants and tangents intersect outside a circle, they form an angle whose measure is related to the intercepted arcs

14 2 tangents to a circle lesson

Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle

Topics include Arcs, Angles, Chords, Secants, Tangents ......The pentagon is inside the circle, but it is not inscribed in the circle. Inscribed vs. Circumscribed Examples : The rectangle

[10.3] Tangents

Circles: Starter Activity Show that circle A: touches circle B:

GENERALFORSAMLING Tangent Danmarktangentdanmark.dk/sites/tangent/files/r/Landsmødefolder... · Tangents keep circling !! ... Ladies Circle Danmark 7. ... 16. Fastsættelse af tid

morganmathematics.weebly.commorganmathematics.weebly.com/uploads/9/1/4/7/9147609/chapter_7.pdf · 7-2 Tangents A tangent to a circle is a line in the plane of the circle that meets

· PDF file · 2014-05-132014-05-13 · Chapter 8: Circle Geometry Name: Section 8.1: Properties of Tangents to a Circle Tangent-Radius Property: A tangent to a circle is perpendicular

Properties of Tangents of a Circle Adapted from Walch Education

Use Properties of Tangents - Ms. Young · Use Properties of Tangents Georgia Goal pUse properties of a tangent to a circle. Performance Standard(s) MM2G3a, MM2G3d Your Notes VOCABULARY

4.12 TANGENTS

Tangents + intersections

Tangents and Secants t ircle - Sakshi Education · a) There is no tangent to a circle through a point which lies inside the circle. b) There is only one tangent to a circle passing

CHAPTER 10.6 AND 10.7 SECANTS, TANGENTS, AND ANGLE MEASURES AND SPECIAL SEGMENTS IN A CIRCLE

10.1 Tangents to Circles. Definition of Circle A circle is a set of points an equal distance from one point called the center. The line segment from the

Pulley Belt Length, Circle Tangents, and Conic Sections · Pulley Belt Length, Circle Tangents, and Conic Sections ... For circles not in standard position, map them to standard position

8.1 - Properties of Tangents to a Circle

14.5 Tangents to Circles and Spheres - Arrowhead … Tangents to Circles... · 14.5 Tangents to Circles and Spheres. Definition: Tangent A line that intersects the circle in exactly

Tangents to Circles ( with Circle Review)

Tangents and Circles, Part 1bfhscooney.weebly.com/uploads/5/4/4/3/54438819/... · Tangents and Circles, Part 1 . A tangent line lies in the same plane as a circle and intersects the

Open Tangents