| William Frothingham Bradbury - Geometry - 1872 - 268 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... | |
| Charles Davies - Geometry - 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 found... | |
| Cincinnati (Ohio). Board of Education - Cincinnati (Ohio) - 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 - Measurement - 1873 - 520 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... | |
| New York (State). Legislature. Assembly - Government publications - 1873 - 820 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 problem... | |
| Boston (Mass.). School Committee - Boston (Mass.) - 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. "... | |
| Harvard University - 1873 - 732 pages
...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 - 512 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... | |
| William Hamilton Richards - 1875 - 216 pages
...from 180°, E + F = 180° 150° T — 29° 3'. and \ (E + F) = 14° 31' 30". The sum of the 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. Ar. co. Log. (e + /) 3922'92 = 6'406347 Log. (e -/) 1769'86... | |
| Cornell University - 1875 - 1012 pages
...sin'.r=:2cosa;r — 1 = I — 2sinV. 4. Prove that in any plane triangle the sum of cither two sides **is to their difference as the tangent of half the sum of the** opposite angles is to the tangent of hall' their difference. 5. Given two sides of a triangle equal... | |
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