## 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 , there- fore , 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 a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of those angles is

When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of those angles is

**called**a right angle ; and the line AB is said to be perpendicular to CD . 11. 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 ЈА 17. Among the quadrilaterals , we distinguish : The square , which has its sides ... 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 solu- tion . A lemma is a subsidiary truth , employed for the demonstra- tion of ... 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 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