| Edward Olney - 1872 - 472 pages
...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... | |
| William Frothingham Bradbury - 1872 - 262 pages
...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 - 216 pages
...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... | |
| Charles Davies - 1872 - 464 pages
...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... | |
| Edward Olney - 1872 - 562 pages
...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... | |
| New York (State). Legislature. Assembly - 1873 - 818 pages
...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... | |
| Boston (Mass.). School Committee - 1873 - 454 pages
...to the sines of the opposite angles. III. Prove that 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. IV. In a triangle the side AB = 532.... | |
| Cincinnati (Ohio). Board of Education - 1873 - 352 pages
...the other two sides. Prove it. 5. Prove that in a plain triangle the sum of two sides about an angle **is to their difference as the tangent of half the sum of** the other two angles is to the tangent of half their diff.rence. 6. One point is accessible and another... | |
| Aaron Schuyler - 1873 - 508 pages
...tan \(A + B) : tan \(A — B). Hence, In any plane triangle, the sum of the sides including an angle **is to their difference as the tangent of half the sum of** the other tiuo angles is to the tangent of half their difference. We find from the proportion, the... | |
| Adrien Marie Legendre - 1874 - 500 pages
...have tl1e 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 he... | |
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