| Edward Olney - Geometry - 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 two... | |
| Edward Olney - Geometry - 1872 - 239 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 any two sides... | |
| Edward Olney - Trigonometry - 1872 - 201 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 any two sides... | |
| Charles Davies - Geometry - 1872 - 455 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 found... | |
| Boston (Mass.). School Committee - Boston (Mass.) - 1873
...sides are proportional 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. "... | |
| New York (State). Legislature. Assembly - New York (State) - 1873
...(CB); whence 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... | |
| Cincinnati (Ohio). Board of Education - Cincinnati (Ohio) - 1873
...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 - Navigation - 1864 - 490 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 equation... | |
| Harvard University - 1873
...proportional to the sines of the opposite angles. (4.) The sum of any two sides of a plane triangle ia **to their difference as the tangent of half the sum of the** opposite angles is to the tangent of half their difference. 4. Two sides of a plane oblique triangle... | |
| Adrien Marie Legendre - Geometry - 1874 - 455 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 found... | |
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