 | Benjamin Martin - 1736 - 414 páginas
...Sides, Is to the Sine of their Difference, ( So is the Sine of the Sum of the Angles, to the Sine of their Difference ; ) So is the Tangent of half the Sum of the Angles, To the Tangent of halt their Différence. 14. That is, IK : IH: : AP :AO. Therefore IK+IH m... | |
 | 1801 - 658 páginas
...$ 07 21 feet. JROSLEM It. Given tiua sides and the angle included by them ; to find the rest. In a plane triangle, As the sum of any two sides : Is to...difference : : So is the tangent of half the sum of their opposite angles : • To the tangent of half their difference.* Then * DEMONSTRATION. By the... | |
 | Abel Flint - 1804 - 226 páginas
...CASE III. -Tivo Sides and their contained Angle given, to Jind the other Angles and Side. Fig. 49. The solution of this CASE depends on the following...difference to half the Sum of the Angles and you will have the greater Angle ; and subtract the half Difference from the half Sum and you will have the lesser... | |
 | Robert Gibson - 1806 - 486 páginas
...wholes are as their halves, ie AH : IH : : CE : ED, that is .as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference. QED 104 PLANE TRIGONOMETRY. Plate... | |
 | John Bonnycastle - 1806 - 464 páginas
...included angle are given, to find the rest. SR.ULE. As the sum of any two sides of a plane triangle, is to their difference, so is the tangent of half the sum of their opposite angles, to the tangent of half their difference. Then the half difference of these angles,... | |
 | Isaac Dalby - 1807 - 476 páginas
...triangles DRA, DGB will be similar; whence we have, DG : DR :: GB : RA; That is, as the sum of the sides, is to their difference, so is the tangent of half the sum of the unknown or opposite angles, to the tangent of half the difference of those angles. Examp. 1. Let CD... | |
 | Abel Flint - 1808 - 190 páginas
...30'. CASE III. Two Sides and their contained Angle given, to find the other Angles and Side. Fig. 49. The solution of this CASE depends on the following...difference to half the Sum of the Angles and you will have the greater Angle ; and subtract the half Difference from the half Sum and you Will have the lesser... | |
 | Robert Gibson - 1808 - 482 páginas
...wholes areas their halves, ie AH : IH : : CE : ED, that is, as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference. QED Plate V. THEO. III. In any right-lined... | |
 | Nicolas Pike - 1808 - 470 páginas
...given. RULE 2. — As the sum of any two sides is to their difference ; so 5s the tangent of the half sum of the two opposite angles, to the tangent of half the difference of those two opposite angle* ; which hah" difference being added to the half sum, gives the greater... | |
 | Samuel Webber - 1808 - 466 páginas
...and the angle include^ by them; to fmd the rest. In a plane triangle, As the sum of any two sifts : Is to their difference " : : So is the tangent of half the sum of their opposite angles : To the tangent of half their difference.* * DEM0NSTRATI0N. By the first problem,... | |
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Plane Triangle, As the Sum of any two Sides ; Is to their Difference ; So is the Tangent of half the Sum of the two opposite Angles ; To the Tangent of half the Difference between them. 
