C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. A Treatise of Practical Surveying, ... - Side 94av Robert Gibson - 1808 - 440 siderUten tilgangsbegrensning - Om denne boken
| 1869
...we have the principle. When two sides and their included angles are given : The sum of the two sides **is to their difference as the tangent of half the sum of the** other two angles is to the tangent of half their difference. This young man also worked out a problem... | |
| 1870 - 319 sider
...0 : sin B. Theorems. THEOREM II. In any triangle, the sum of the two sides containing either angle, **is to their difference, as the tangent of half the sum of the two** other angles, to the tangent of half their difference. Let ACB be a triangle: then will AB + AC: AB—... | |
| 1871
...we have the principle. When two sides and their included angles are given : The sum of the two sides **is to their difference as the tangent of half the sum of the** other two angles is to the tangent of half their difference. This young man also worked out a problem... | |
| Elias Loomis - 1871 - 58 sider
...^(A+B) . sin. A-sin. B~sin. ^(AB) cos- ^(A+B)~tang. ^(AB) ' that is, The sum of the sines of two arcs **is to their difference, as the tangent of half the sum of** those arcs is to the tangent of half their difference. COS f*fvt Dividing formula (3) by (4), and considering... | |
| Charles Davies - 1872 - 455 sider
...have the following principle : In any plane triangle, the sum of the sides including either angle, **is to their difference, as the tangent of half the sum of the two** other angles, is to the tangent of half their difference. The half sum of the angles may be found by... | |
| Edward Olney - 1872 - 239 sider
...horizontal parallax. PLANE TRIGONOMETRY. 80. Ргор.— The sum of any two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. ( DEM. — Letting a and b represent any... | |
| William Frothingham Bradbury - 1872 - 238 sider
...same sine, and BD = a sin. BCD = a sin. C (41) B 102. In any plane triangle, the sum of any two sides **is to their difference, as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. Let ABC (Art. 103) be a plane triangle... | |
| Edward Olney - 1872 - 201 sider
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— Tlie sum of any two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. DEM. — Letting a and b represent any... | |
| Edward Olney - 1872
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— TJie sum of any two sides of a plane triangle **is to their difference, as the tangent of half the sum of the** angles opposite is to the tangent of half their difference. 1 >K\r. — Letting a and b represent any... | |
| New York (State). Legislature. Assembly - 1873
...we have the principle. When two sides and their included angles are given : The sum of the two sides **is to their difference as the tangent of half the sum of the** other two angles is to. the tangent of half their difference. This young man also worked out a problem... | |
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