## Elements of Geometry and Trigonometry |

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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 angle ... 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

Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be

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 straight line AB is the shortest distance between the points A and B ( Def . 3. ) ; hence AC + CB is**greater**A. 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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### 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