| Philip Ronayne - 1717 - 408 sider
...Triangle cut by Lines Parallel to the Bafe being ("by 2. 6. Eucl. El.) proportional ; E С --ЕВ >; **FA - FG; that is in Words, half the Sum of the Legs,...difference, as the Tangent of half the Sum of the** oppofice Angles, is to the Tangent of half their difference; Fer i Sum -(- •', difference of any... | |
| William Hawney - 1725 - 479 sider
...Tangent of half their Difference. But Wholes are as their Halves : Therefore the Sum of the Legs is to **their Difference, as the Tangent of half the Sum of...Angles, is to the Tangent of half their Difference.** Which was, &c. From this Axiom the following Cafes will eafily be folved. CASE HI. Two Sides, with... | |
| John Hamilton Moore - 1791 - 296 sider
...Lines parallel to the Bafe being (by Eucl. 2. 6.) proportional as E С : С В :: FA : FG, »hat is, **half the Sum of the Legs is to half their Difference, as the Tangent of** halt the Sum of the oppofite Angles is to the Tangent of half their Difference : but Wholes are as... | |
| Asiatick Society (Calcutta, India) - 1811
...the observed angles PSY and PYS, we have, the tangent of half the sum of the first, to the tangent of **half their difference, as the tangent of half the sum of the** second, to tangent of 2° 54' 25"-9^i their half difference : from which we get the greater angle at... | |
| Francis Nichols - 1811 - 128 sider
...opposite side, or base, the cotangent of half the sum of the angles at the base will be to the tangent of **half their difference, as the tangent of half the sum of the** segments of the vertical angle is to the tangent of half their difference; that is, cot. | (A + B)... | |
| Anthony Dumond Stanley - 1848 - 122 sider
...that is, The tangent of half the sum of any two sides of a spherical triangle is to the tangent of **half their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. 38. In the following articles it is proposed... | |
| |