## Elements of Geometry and Trigonometry |

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Page 2

DAVIES ' SURVEYING , With a

DAVIES ' SURVEYING , With a

**description**and plates of , the THEODOLITE , COMPASS , PLANE - TABLE , and LEVEL - also , Maps of the TOPOGRAPHICAL SIGNS adopted by the Engineer Department - an explanation of the method of surveying the ... Page 6

Construction and

Construction and

**Description**of the Tables ,**Description**of Table of Logarithms ,**Description**of Table of Logarithmic Sines , Principles for the Solution of Rectilineal Triangles , Solution of Rectilineal Triangles by Logarithms ... Page 46

... are equal ; therefore the circumference

... are equal ; therefore the circumference

**described**from the centre O , with the radius OB , will pass through the three given points A ... not in the same straight line : we say farther , that but one can be**described**through them . Page 49

And , whenever the triangle CAD can be constructed , it is plain that the circles

And , whenever the triangle CAD can be constructed , it is plain that the circles

**described**from the centres C and D , will cut each other in A and B. E D PROPOSITION XIII . THEOREM . If the distance between the BOOK III . 49. Page 52

Whatever be the ratio of two angles , they will always be to each other as the arcs intercepted between their sides ; the arcs being

Whatever be the ratio of two angles , they will always be to each other as the arcs intercepted between their sides ; the arcs being

**described**from the vertices of the angles as centres with equal radii . Let ACB be the greater and ACD ...### 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