 | Euclid, John Playfair - 1795 - 462 sider
...will the radius be to the tangent of the difference between, that angle and half a " right angle, as the tangent of half the fum of the angles at the bafe of the triangle to the tangent of half their difference. TLet ABC be a triangle, the fides of which... | |
 | Alexander Ingram - 1799 - 374 sider
...of i6' 5« the angle ACB. PROP. IV. IN any triangle, the fum of two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. Let ABC be a triangle, of which the fides AC is greater thaa AB ; the fum of CA, AB is to their difference,... | |
 | Thomas Simpson - 1799 - 92 sider
...radius : co-fine AC : : tang. C : cotang. A. ED LEMMA. As the Jam of the fines «f two unequal arebe} is to their difference, fo is the tangent of half the fum of thofe arches to the tangent of half their difference : and, as the fum of the co-fines is to their... | |
 | Thomas Hodson - 1802 - 556 sider
...either angle to the cotangent of the other angle. Thus, As the fum of the fines of two unequal arches is to their difference, fo is the tangent of half the fum of thofe arches, to the tangent of half their difference ; and, As the fnm of the cofines is to their... | |
 | Robert Simson - 1804 - 530 sider
...given. PROP. III. FIG. 8. IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. Let ABC be a plain triangle, the fum of any two fides AB, AC will be to their difference as the tangent... | |
 | Thomas Hodson - 1806 - 488 sider
...either angle to the cotangent of the other angle. Thus, As the fum of the fines of two unequal arches U to their difference, fo is the tangent of half the fum of thofe arches, to the tangent of half their difference; and, As the fum of the cofines is to their ditference,... | |
 | John Hamilton Moore - 1807 - 586 sider
...equal AC. OELIQJ/E TRIGONOMETRY. AXIOM Ht. Tn every plane triangle it will be as the fum of any two fides is to their difference, fo is the tangent of half the fum of che angles oppofite thefc fides, to the tangent of half their difference, which half difference being... | |
 | Encyclopaedia Perthensis - 1816 - 772 sider
...other angles of the triangle DBA may be found by the following proportion. As the fum of AD and BD, to their difference, fo is the tangent of half the fum of the angles DBA, DAB. to the tangent of half their difference. Then | the difference' of thefe angles • added... | |
 | 1816 - 764 sider
...other angles of the triangle DBA may be found by the following propoition. As the fum of AD and BD, to their difference, fo is the tangent of half the fum of the angles DBA, DAB, to the tangent of half their difference. Then { the difference of thcfe angles added to f... | |
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IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. 
