| Philip Ronayne - 1717 - 478 páginas
...greater of them. And ± Sum — ~ diff. is = lejje r of them. But Wholes are as their Halves : Wherefore the Sum of the Legs is to their Difference as the Tangent of half the Sum of the i. s oppofite is to the Tangent of half their difference. ft. fD AXIOM 4.' • Me»»»- !-*- '"••... | |
| Philip Ronayne - 1738 - 458 páginas
...proportional ; E С » EB : : FA •• FG 5 that is in Words, half the Sum of the Legs, Is to half their Difference, As the Tangent of half the Sum of...Angles, Is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs, Is to their Difference, As the Tangent... | |
| John Ward (of Chester.) - 1747 - 516 páginas
...oppofite Angles is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs is to their Difference, as the Tangent of half the Sum of the Angles oppofice is to the Tangent of half their Difference. j£. ED Axiom IV. -4. The Bale, or greateu... | |
| 1751 - 420 páginas
...writers of Trigonometry, that the Sum of the Sides, including any given Angle Angle of a plain Triangle, is to their Difference, as the Tangent of half the Sum of the unknown Angles, is to the Tangent of half their Difference ; therefore, if the including Sides of two... | |
| John Ward - 1771 - 510 páginas
...BC : : Si. С : Si. A. ' & £• D. Axiom III. The Sum of the Leg« of any Angle of a Plane Triangle is to their Difference, as the Tangent of half the Sum of the Angles oppofite to thofe leg* is to the Tangent of half their Difference. SDcmoaírcatíon» In the... | |
| John Hamilton Moore - 1791 - 578 páginas
...:: 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 their Halves ; wherefore the Sum of the Lege is to their Différence, as the Tangent... | |
| Robert Gibson - 1795 - 384 páginas
...II. In any plane Triangle ABC, the Sum of the two given Sides AB and BC, including a given Angle ABC, is to their Difference ; as the Tangent of half the Sum ' of the two unknown Angles A and C is to the Tangent ef half their Difference. Fig. 1 1 . Produce Plate V.... | |
| Robert Simson - 1806 - 546 páginas
...given, the fourth is also given. ' PROP. III. FIG. 8. In a plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of the angles at the base, to the tangent of half their difference. . * Let ABC be a plane triangle, live... | |
| John Bonnycastle - 1806 - 464 páginas
...• Hence, since AC, OF are parallel, EcistocrasEA. is to AC; that is, the sum of the sides AB, B c is to their difference, as the tangent of half the sum of their opposite angles B AC, BCA is to the tangent of half their difference. , QE u. THEOREM III. 95.... | |
| Robert Gibson - 1808 - 482 páginas
...la any plane triangle ABC, the sum of the two. given sides AB and £C, including a given angle ABC, is to their difference, as the tangent of half the sum of the two unknown angles A and C is to the tangent of half their difference. Fig. 11. PLANE TRIGONOMETRY.... | |
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