## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 66

Page 42

A

A

**tangent**is a line which has but one point in common with the circumference . CD is a**tangent**. The point M , where the**tangent**touches the circumference , is called the point of contact . In like manner , two circumferences touch each ... Page 47

A straight line perpendicular to a radius , at its extremity , is a

A straight line perpendicular to a radius , at its extremity , is a

**tangent**to the circumference . Let BD be perpendicular to the B radius CA , at its extremity A ; then will it be**tangent**to the circumfe- rence . Page 48

At a given point A , only one

At a given point A , only one

**tangent**AD can be drawn to the circumference ; for , if another could be drawn , it would not be perpendicular to the radius CA ( Book I. Prop , XIV . Sch . ) ; hence in reference to this new**tangent**... Page 50

All circles which have their centres on the right line AD , and which pass through the point A , are

All circles which have their centres on the right line AD , and which pass through the point A , are

**tangent**to each other . For , they have only the point A common , and it through the point A , AE be drawn perpendicular to AD ... Page 56

... or half the difference of BEC and DF . A. E PROPOSITION XXI . THEOREM . The angle formed by a

... or half the difference of BEC and DF . A. E PROPOSITION XXI . THEOREM . The angle formed by a

**tangent**and a chord , is measured by half of the arc included between its sides . Let BE be the**tangent**, and AC the chord 56 GEOMETRY .### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole