## Elements of Geometry and Trigonometry |

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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

Let BD be perpendicular to the B radius CA , at its extremity A ; then will it be

Let BD be perpendicular to the B radius CA , at its extremity A ; then will it be

**tangent**to the circumfeF K H A A straight line perpendicular to a radius , at its extremity , is a**tangent**to the circumference . E D 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 if through the point A , AE be drawn perpendicular to AD ... Page 56

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

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

**tangent**and a chord , is measured by half of the arc included between its sides . 4 - d Let BE be the**tangent**, and 56 GEOMETRY .### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole