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Bøker Bok 15 av 5ABC, it will be, as the co -tangent of half the fum of the angles at the bafe, is...
" ABC, it will be, as the co -tangent of half the fum of the angles at the bafe, is to the tangent of half their difference, fo is the tangent of half the... "
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Side 33
av Thomas Simpson - 1799 - 79 sider
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The Mathematician

1751 - 399 sider
...it follows, by Equality, that as the Tangent of half the Sum of the unknown Angles in one Triangle, is to the Tangent of half their Difference, fo is the Tangent of half the Sum of the unknown Angles in the other Triangle, to the Tangent of half their Difference. But if the...
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A New & Complete Treatise of Spherical Trigonometry: In which are Contained ...

Antoine-René Mauduit - 1768 - 216 sider
...the tangent of half the difference cf the fegments of the bafe-, and the fécond this ; The coßne of half the fum of the angles at the bafe is to the coftne cf half their difference, as the tangent of half the difference of their oppofttefides is io...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 264 sider
...a. DC as S. D is to S. B B. PROP. XXIH. TN every* fpherical triangle, the cotangent of half thefum of the * angles at the bafe, is to the tangent of half their difference ; as the tangent of half the vertical angle to the tangent of the angle that the perpendicular makes...
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A Complete Treatise on Practical Mathematics: Including the Nature and Use ...

John McGregor (teacher of mathematics.) - 1792 - 431 sider
...BC are parallel, EC : CF as EB :. BG, that is, the fum of the fides is to their difference : as the tangent of half the fum of the angles at the bafe, is to the tarn. Cent of half their difference. THEOTHEOREM III. in a plane triangle, the bafe is to the fum of...
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The Accomplished Tutor: Or, Complete System of Liberal Education ..., Volum 2

Thomas Hodson - 1806
...from the middle of the bafe. Theorem VI. In any fpherical triangle ABC ffig. i2), As the cotangent of half the fum of the angles at the bafe, is to the...half their difference, fo is the tangent of half the vertii cal angle, to the tangent of the angle which the perpendicular CD makes with the line CF, bifefling...
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