## Elements of Geometry and Trigonometry |

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Page 11

Thus , in the

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 , and its angles right - angles . The rectangle , which has its ... Page 18

The sum of any two sides of a

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 straight line AB is the shortest distance ... Page 19

1 " triangle GAC is equal to DEF , since , by construction , they have an equal angle in each , contained by equal ... Now , there may be three cases in the proposition , according as the point G falls without the

1 " triangle GAC is equal to DEF , since , by construction , they have an equal angle in each , contained by equal ... Now , there may be three cases in the proposition , according as the point G falls without the

**triangle ABC**, or upon ... Page 21

Conversely , if two angles of a

Conversely , if two angles of a

**triangle**are equal , the sides opposite them are also equal , and the**triangle**is isosceles . Let the angle**ABC**be equal to the angle ACB ; then will the side AC be equal to the side AB . Page 29

Let ABC be any triangle : then will the angle C + A + B be equal to two right angles . ... and AB cuts them , the alternate angles ABC , BAE , will be equal : hence the three angles of the

Let ABC be any triangle : then will the angle C + A + B be equal to two right angles . ... and AB cuts them , the alternate angles ABC , BAE , will be equal : hence the three angles of the

**triangle ABC**make up the same sum as the three ...### 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