## Elements of Geometry and Trigonometry |

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Page 12

In both cases , the equal sides , or the equal angles , are named

In both cases , the equal sides , or the equal angles , are named

**homologous**sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident proposition . A theorem is a truth , which becomes evident by means ... Page 68

Any two sides , or any two angles , which have like positions in two similar figures , are called

Any two sides , or any two angles , which have like positions in two similar figures , are called

**homologous**sides or angles . A 3. In two different circles , similar arcs , sectors , or segments , are those which correspond to equal ... Page 84

Two equiangular triangles have their

Two equiangular triangles have their

**homologous**sides proportional , and are similar . Let ABC , CDE be two triangles which have their angles equal each to each , namely , BAC - CDE , ABC - DCE and ACB DEC ; then the**homologous**sides ... Page 85

Observe , that in similar triangles , the

Observe , that in similar triangles , the

**homologous**sides are opposite to the equal angles ; thus the angle ACB being equal to DEC , the side AB is**homologous**to DC ; in like manner , AC and DE are**homologous**, because opposite to the ... Page 87

Two triangles , which have their

Two triangles , which have their

**homologous**sides parallel , or perpendicular to each other , are similar . Let BAC , EDF , be two triangles . First . If the side AB is parallel to DE , and BC to EF , the angle ABC will be equal to DEF ...### 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