## Elements of Geometry and Trigonometry |

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Page 9

The extremities of a line are

The extremities of a line are

**called**points : a point , therefore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4. Page 10

When two straight lines , AB , AC , meet each other , their inclination or opening is

When two straight lines , AB , AC , meet each other , their inclination or opening is

**called**an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ... Page 11

The side opposite the right angle is

The side opposite the right angle is

**called**the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal ... Page 12

A theorem is a truth , which becomes evident by means of a train of reasoning

A theorem is a truth , which becomes evident by means of a train of reasoning

**called**a demonstration . A problem is a question proposed , which requires a solution . A lemma is a subsidiary truth , employed for the demonstration of a ... Page 35

To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as C is to D. The quantities which are compared together are

To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as C is to D. The quantities which are compared together are

**called**the terms of the ...### 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