## 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 A4 ... 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 . с 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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Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### 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 produced 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