## Elements of Geometry and Trigonometry |

### From inside the book

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Page 10

When two straight lines , AB , AC , meet each other , their inclination or opening is called an angle , which 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 12

To signify that A is

To signify that A is

**greater**than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . is called plus : it indicates addition . The sign The sign is called minus : it indicates subtraction . Page 13

The whole is

The whole is

**greater**than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Page 18

The sum of any two sides of a triangle , is

The sum of any two sides of a triangle , is

**greater**than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be**greater**than the third side AB . For , the line AB is the shortest distance ... Page 19

Conversely , if two sides BA , AC , of the triangle BAC , are equal to the two ED , DF , of the triangle EDF , each to each , while the third side BC of the first triangle is

Conversely , if two sides BA , AC , of the triangle BAC , are equal to the two ED , DF , of the triangle EDF , each to each , while the third side BC of the first triangle is

**greater**than the third side EF of the second ; then will 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