Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryCollins & Hannay, 1860 - 333 σελίδες |
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Σελίδα 225
... tangent , or secant of the complement of any angle is called the Cosine , Cotangent , or Cosecant of that angle . Thus , let CI . , or DB , which is equal to CL , be the sine of the angle CBH ; HK the tangent , and BK the secant of the ...
... tangent , or secant of the complement of any angle is called the Cosine , Cotangent , or Cosecant of that angle . Thus , let CI . , or DB , which is equal to CL , be the sine of the angle CBH ; HK the tangent , and BK the secant of the ...
Σελίδα 229
... tangent of the angle EFB , and BG the tangent of the angle BFG to the radius FB ; and BE is therefore to BG as the tangent of half the sum of the angles ACB , ABC to the tangent of half their differ- ence . Also CE is the sum of the ...
... tangent of the angle EFB , and BG the tangent of the angle BFG to the radius FB ; and BE is therefore to BG as the tangent of half the sum of the angles ACB , ABC to the tangent of half their differ- ence . Also CE is the sum of the ...
Σελίδα 267
... tangent of half the side adjacent to these angles is to the tangent of half the difference of the sides op- posite to them ; and the cosine of half the sum of the same angles is to the cosine of half their difference , as the tangent of ...
... tangent of half the side adjacent to these angles is to the tangent of half the difference of the sides op- posite to them ; and the cosine of half the sum of the same angles is to the cosine of half their difference , as the tangent of ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore