| James Hodgson - Astronomy - 1723
..."••'-• • • In every Oblique-angled Spherical Triangle it will be, As the Tangent of half the Bafc, **To the Tangent of half the Sum of the other two Sides** ; So is the Tangent of half the Difference of the two Sides, To the Tangent of half the Difference... | |
| Benjamin Martin - Plane trigonometry - 1736 - 414 pages
...the Tangent of half the Sum of the other two Sides. PROPOSITION V. As the Tangent of half the Bafe, . **is to the Tangent of half the Sum of the other two Sides** -, fo is the Tangent of half the Difference of the Sides, to the Tangent of half the Difference of... | |
| James Atkinson - Navigation - 1770 - 536 pages
...to the Sine Complement of half their Difference ; So is the Tangent of half their interjacent Side, **to the Tangent of half the Sum of the other two Sides.** Axiom 4. As the Re&angle of the Sines of the two containing Sides, is to the Square of the Radius ;... | |
| Francis Nichols - Plane trigonometry - 1811 - 128 pages
...any two sides is to the cosine of half their difference, as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. 78. Remark. From this proposition and cor. we obtain half the sum S, and half the difference... | |
| James Mitchell - Mathematics - 1823 - 684 pages
...have let fall a perpendicular arc, and which lies within the .riangle, the tangent of the half base **is to the tangent of half the sum of the other two sides,** as the .angent of the half difference of .hese sides is to the tangent of half .he difference of the... | |
| Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...spherical triangle is to the sine of half their difference, as the tangent of half the side to (749) **which they are both adjacent is to the tangent of half the** difference of the other two sides ; that is, in the spherical triangle ABC (figs. 4. and 5.), 33 sin.... | |
| Charles William Hackley - Trigonometry - 1838 - 336 pages
...spherical triangle is to the sine of half their difference as the tangent of half the interjacent side **is to the tangent of half the sum of the other two sides.** The other may be repeated in a similar manner. These two proportions, and the two from which they were... | |
| Charles William Hackley - Trigonometry - 1838 - 328 pages
...spherical triangle is to the cosine of half their difference, as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. The second may be repeated in a similar manner, changing cosine into sine and tangent of the... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 449 pages
...of a triangle is to the cosine of half their difference, as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles, or in (figs. 32 and 33), cos.£(a— c) : cos.|(a— c)=cotan.£J5 : tang. \ (A-\-C). (370)... | |
| Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...of a triangle is to the cosine of half their difference, as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles, or in (figs. 32 and 33), соз4(а^с) : cos?4(a— c)=:cotan. \B : tang. ¿ ( Л+С). (370)... | |
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