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 223
... sine of any arch till it cut the circum- ference . V. I The segment DA of the diameter passing through A , one extremity of the arch AC , between the sine CD and the point A , is called the Versed sinè of the arch AC , or of the angle ...
... sine of any arch till it cut the circum- ference . V. I The segment DA of the diameter passing through A , one extremity of the arch AC , between the sine CD and the point A , is called the Versed sinè of the arch AC , or of the angle ...
Σελίδα 241
... sine of 1 ' becomes known ; for , as : 52 ′′ . 44 ′′ . 03 " " . 45 ,, to i , so is the sine of the former arch to the sine of the latter . Thus the sine of 1 ' is found≈0.0002908882 . 4. The sine l ' being thus found , the sines of 2 ...
... sine of 1 ' becomes known ; for , as : 52 ′′ . 44 ′′ . 03 " " . 45 ,, to i , so is the sine of the former arch to the sine of the latter . Thus the sine of 1 ' is found≈0.0002908882 . 4. The sine l ' being thus found , the sines of 2 ...
Σελίδα 259
... sine of the hypotenuse is to the ra- dius as the sine of either side is to the sine of the angle opposite to that side . Let the triangle ABC be right angled at A , and let AC be either of the sides ; the sine of the hypotenuse BC will ...
... sine of the hypotenuse is to the ra- dius as the sine of either side is to the sine of the angle opposite to that side . Let the triangle ABC be right angled at A , and let AC be either of the sides ; the sine of the hypotenuse BC will ...
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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