![](https://books.google.no/books/content?id=gc82AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Philip Ronayne - 1717 - 478 sider
...С : : 5, С • S, A " - S,C: 3 D) == S, A, QED' AXIOM AXIOM. III. The Sum of che Legs of an Angle is to their Difference as the Tangent of half the Sum of the Angles oppofite to rhofe Legs, is to the Tangent of half their Difference. Demonßrütion. „... | |
![](https://books.google.no/books/content?id=DbY2AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | William Hawney - 1725 - 504 sider
...the 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 the oppofite Angles, is to the Tangent of half their Difference. Which was, &c. From this Axiom the... | |
![](https://books.google.no/books/content?id=JuE2AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | John Ward (of Chester.) - 1747 - 516 sider
...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... | |
![](https://books.google.no/books/content?id=SNU2AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | 1751 - 420 sider
...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... | |
![](https://books.google.no/books/content?id=JUdkAAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | David Stewart Erskine Earl of Buchan, Walter Minto - 1787 - 164 sider
...difference. Cof af-cof b : cof a — cof b : : cot ^ : tang t±?. (4) Lem. 3. The fum of the fines of two arcs is to their difference as the tangent of half the fum of thofe arcs is to the tangent of half their their difference. * Sin a + fin b : fin a — fin... | |
![](https://books.google.no/books/content?id=SIERLtc5aAYC&printsec=frontcover&img=1&zoom=5&edge=curl) | Robert Gibson - 1795 - 384 sider
...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... | |
![](https://books.google.no/books/content?id=JZgAAAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | 1801 - 658 sider
...side by the first problem. NbT* tile sum of the sines is to the difference of the sine: of two arcs, as the tangent of half the sum of those arcs is to the tangent of half their difference : in order to which, let ED, CE, be the sines of the arcs AB, AC ; produce BD to the circumference... | |
![](https://books.google.no/books/content?id=K-I2AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Robert Simson - 1806 - 546 sider
...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... | |
![](https://books.google.no/books/content?id=FIlzPmY6hVcC&printsec=frontcover&img=1&zoom=5&edge=curl) | John Bonnycastle - 1806 - 464 sider
...• 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.... | |
![](https://books.google.no/books/content?id=52Y1AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Robert Gibson - 1808 - 482 sider
...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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