| 1821
...same angle*. Thus, in the triangle ABC, if we call AB the base, it will he as the sum of AC and CB **is to their difference, so is the tangent of half the sum of the angles** ABC, BAG', to the tangent of half their difference. Dem. With the longest leg CB as radius, describe... | |
| William Nicholson - 1821
...of either angle to the co-tangent of the other angle. As the sum of the sines of two unequal arches **is to their difference, so is the tangent of half the sum of** those arches to the tangent of half their difference : and as the sum of their co-sines is to their... | |
| William Nicholson - 1821
...of either angle to the co-tangent of the other angle. As the sum of the sines of two unequal arches **is to their difference, so is the tangent of half the sum of** those arches to the tangent of half their difference : and as the sum of their co-sines a to their... | |
| Peter Nicholson - 1823
...TRIGONOMETRY. — THEOREM 2. 234. The sum of the two sides of a triangle is to their difference as **the tangent of half the sum of the angles at the base** is to the tangent of half their difference. Let ABC be a triangle ; then, of the two sides, CA and... | |
| Edward Riddle - 1824
...Or the angles opposite the given sides may be determined as follows. As the sum of the given sides **is to their difference, so is the tangent of half the sum of** their opposite angles to the tangent of half the difference of the same angles, (Trig. Prop. 6.) And... | |
| Abel Flint - 1825 - 241 páginas
...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 to... | |
| Nathaniel Bowditch - 1826 - 617 páginas
...the tame angla. Thus, in the triangle ABC, if we call AB the base, it will be as the sum of AC and CB **is to their difference, so is the tangent of half the sum of the angles** ABC, ВАС, to the tangent of half their difference. Dan. With the longest leg CB as radius, , describe... | |
| Nathaniel Bowditch - 1826 - 617 páginas
...Thus, in the triangle ABC, if we call AB the base, it will he, as the sum of AC and >* CB is to theip **difference, so is the tangent / of half the sum of the angles** ABC, ВАС, to / the tangent of half their difference. / Dem. With the longest leg CB as radius, /... | |
| Robert Simson - 1827 - 513 páginas
...difference. Let ABC be a plane triangle, the sum of any two sides AB, AC will be to their difference as **the tangent of half the sum of the angles at the base** ABC, ACB, to the tangent of half their difference. About A as a centre, with AB the greater side for... | |
| Alexander Ingram - 1830
...and take half the remainder, to get half the sum of the unknown angles. Then as the sura of the sides **is to their difference, so is the tangent of half the sum of the** unknown angles to the tangent of half their difference. Having thus found the half difference, add... | |
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