Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 5
... difference between the extremes , the level , in passing from one grade to the other , is scarcely broken . Each of these classes of seminaries requires text - books adapted to its own peculiar wants ; and if each held its proper place ...
... difference between the extremes , the level , in passing from one grade to the other , is scarcely broken . Each of these classes of seminaries requires text - books adapted to its own peculiar wants ; and if each held its proper place ...
Page 45
... difference be tween the radii AD and FC would not be equal to CD , the distance between their centres : therefore , they cannot have two points in common when the difference of their radii is equal to the distance between their centres ...
... difference be tween the radii AD and FC would not be equal to CD , the distance between their centres : therefore , they cannot have two points in common when the difference of their radii is equal to the distance between their centres ...
Page 49
... AMDC . It may be shown , by taking the difference between the two angles DAE and DAC , that the angle CAE is measured by half the arc AC inciuled between its sides . Of the Circle . THEOREM XV . If a tangent 5 BOOK I !. 49.
... AMDC . It may be shown , by taking the difference between the two angles DAE and DAC , that the angle CAE is measured by half the arc AC inciuled between its sides . Of the Circle . THEOREM XV . If a tangent 5 BOOK I !. 49.
Page 51
... difference of the intercepted CS Let the two secants DE and EB inter- sect each other at E : then will the angle DEB ... difference of the arcs DFB and CA : hence , the equal angle E is also measured by half the difference of the ...
... difference of the intercepted CS Let the two secants DE and EB inter- sect each other at E : then will the angle DEB ... difference of the arcs DFB and CA : hence , the equal angle E is also measured by half the difference of the ...
Page 52
... difference of CFA and CF. But since the tangent DC and the chord AF are parallel , the arc CF is equal to the arc CA : hence the angle BAF , or its equal BDC , which is meas- / ured by half the difference of CFA and CF , is also ...
... difference of CFA and CF. But since the tangent DC and the chord AF are parallel , the arc CF is equal to the arc CA : hence the angle BAF , or its equal BDC , which is meas- / ured by half the difference of CFA and CF , is also ...
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Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards