| Euclides - 1860 - 288 pages
...base to the cosine of half their difference. 13. The base of a triangle is to the difference of its **sides, as the sine of half the sum of the angles at the base to the sine of half their difference.** 14. The base of a triangle is to the difference of its segments, as the sine of the vertical angle... | |
| Euclides - 1860 - 142 pages
...cos. DEC : cos. ECB. EXERCISE XIII. — THEOREM. The base of a triangle is to the difference of its **sides as the sine of half the sum of the angles at the base to** sine of half their difference. Let ABC be any triangle of which BC is the base, then BC : AB - AC =... | |
| Olinthus Gregory - 1863 - 482 pages
...will be, as the sum of the sides about the vertical angle is to their difference, so is the tangent **of half the sum of the angles at the base, to the** tangent of half their difference. 16. In any plane triangle it will be, as the co'sine of the difference... | |
| Horatio Nelson Robinson - 1875 - 288 pages
...following theorem in trigonometry. As the sum of two sides is to their difference, so is the tangent **of half the sum of the angles at the base, to the** tangent of half their difference. Let x= the half difference between D and C. Then, Or, 3268 817 412... | |
| William Hamilton Richards - 1875 - 216 pages
...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 = 3'247939... | |
| William Findlay Shunk - 1880 - 362 pages
...trianf/le, as the sum of the sides about the vertical angle is to their difference, so is the tangent **of half the sum of the angles at the base to the** tangent of half their difference. 4. In any plane triangle, as the cosine of half ( the difference... | |
| William Hamilton Richards - 1883 - 256 pages
...known, and the third side is required. 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. Let the known sides be / 1076-53 and e 2846-39, and B the contained... | |
| William Findlay Shunk - 1890 - 360 pages
...triangle, as the sum of the sides about the vertical angle is to their difference, so is the tangent **of half the sum of the angles at the base to the** tangent of half their difference. 4. In any plane triangle, as the cosine of half the difference of... | |
| William Findlay Shunk - 1908 - 388 pages
...triangle, as the sum of the sides about the vertical angle is to their difference, so is the tangent **of half the sum of the angles at the base to the** tangent of half their difference. 4. In any plane triangle, as the cosine of half the difference of... | |
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