| 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... | |
| James Atkinson - Navigation - 1770 - 514 pages
...Sine Complement of Half their Difference ; So is the Tangent Complement of half the contained Angle, **to the Tangent of half the Sum of the other two Angles.** Axiom 3. Firjt, As the Sine of half the Sum of two Angles ; is to the Sine of half their Difference... | |
| John Playfair - 1819 - 354 pages
...the difference of th£ angles opposite to them : ;UM! also that the cosine of half the sum of these **sides, is to the cosine of half their difference, as the cotangent of half the** angle contained between them, to the tangent of half the sum of the angles opposite to them. COR. 2.... | |
| James Mitchell - Mathematics - 1823 - 666 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... | |
| William Galbraith - Astronomy - 1827 - 412 pages
...tangent of half the difference of the angles opposite to them : And the cosine of half the sum of these **sides is to the cosine of half their difference, as the cotangent of half** tne angle contained between them, is to the tangent of half the sum of the angles opposite to them,t... | |
| William Galbraith - Astronomy - 1834 - 454 pages
...tangent of half the difference of the angles opposite to them : And the cosine of half the sum of these **sides is to the cosine of half their difference as the cotangent of half the** angle contained between them is to the tangent of half the sum of the angles opposite to them, t or... | |
| Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...(a — с) ~ tang. ¿ (Л — C)' 77. Theorem. The cosine of half the sum of two sides of a triangle **is to the cosine of half their difference, as the cotangent of half the included angle** (852) is to the tangent of half the sum of the other two angles, or in (figs. 4. and 5.), cos. ¿ (a... | |
| Benjamin Peirce - Spherical trigonometry - 1836 - 84 pages
...(A^~C)J which is the same as (845). 77. Theorem. The cosine of half the sum of two sides of a triangle **is to the cosine of half their difference, as the cotangent of** hit If the included angle (852) is to the tangent of half the sum of the other two angles, or in (figs.... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...half the difference of the angles opposite to them : and also that the cosine of half the sum of these **sides, is to the cosine of half their difference, as the cotangent of half the** angle contained between them, to the tangent of half the sum of the angles opposite to them. COR. 2.... | |
| Charles William Hackley - Trigonometry - 1838 - 338 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... | |
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