 | Benjamin Martin - 1736 - 414 σελίδες
...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 - 1770 - 514 σελίδες
...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 σελίδες
...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 - 1823 - 666 σελίδες
...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 - 1827 - 412 σελίδες
...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 - 1834 - 454 σελίδες
...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 - 1836 - 92 σελίδες
...(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 - 1836 - 84 σελίδες
...(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 - 1837 - 332 σελίδες
...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 - 1838 - 338 σελίδες
...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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The cosine of half the sum of two sides of a 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 sine of half the sum of two sides of a... 
