## Elements of Geometry and Trigonometry |

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Page 10

The point of intersection A is the vertex of the angle , and the lines AB , AC , are its

The point of intersection A is the vertex of the angle , and the lines AB , AC , are its

**sides**. A4 B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at ... Page 11

An equilateral triangle is one which has its three

An equilateral triangle is one which has its three

**sides**equal ; an isosceles triangle , one which has two of its**sides**equal ; a scalene triangle , one which has its three**sides**unequal . 16. A right - angled triangle is one which has ... Page 12

that is to say , when following their perimeters in the same direction , the first

that is to say , when following their perimeters in the same direction , the first

**side**of the one is equal to the first**side**of the ... In both cases , the equal**sides**, or the equal angles , are named homologous**sides**or angles . Page 16

If two triangles have two

If two triangles have two

**sides**and the included angle of the one , equal to two**sides**and the included angle of the other , each to each , the two triangles will be equal . Let the**side**ED be equal to the**side**BA , the**side**DF to the ... Page 17

DF is equal to AC ; therefore , the point F will fall on C , and the third

DF is equal to AC ; therefore , the point F will fall on C , and the third

**side**EF , will coincide with the third**side**BC ( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor .### 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