| Henry Wilson - 1720 - 192 páginas
...HI. , • , j In all Triangles, as the Sum of the Legs including any Angle is to their Difference, fo **is the Tangent of half the Sum of the unknown Angles, to the Tangent of half** th«ir Difference. •' . .; v ,. : "'. • -I AXIOM IV. In all right lined Triangles ; as the Bafe... | |
| Benjamin Martin - 1736
...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... | |
| Henry Wilson - 1761 - 528 páginas
...find the other Angles, the Proportion is, As the Sum of the Sides, to the Difference of the Sides, fo **is the Tangent of half the Sum of the unknown Angles, to the Tangent of half their Difference** ; which half Difference added to the half Sum, is the greater Angle, and fubtradted leaves the letter.... | |
| 1801 - 426 páginas
...sides and the angle included by them ; to find the rest. In a plane triangle, As the sum of any two **sides : Is to their 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 - 168 páginas
...solution of this CASE depends on the following PROPOSITION. In every 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. Add this half difference... | |
| Robert Gibson - 1806 - 452 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 - 419 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
...are parallel, the 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 = 4100... | |
| Abel Flint - 1808 - 168 páginas
...solution of this CASE depends on the following PROPOSITION. In every 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. Add this half difference... | |
| Robert Gibson - 1808 - 440 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... | |
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