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Libros Libros 1 - 10 de 12 sobre IN a plain triangle, the fum of any two fides is to their difference, as the tangent...
" IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. "
The Doctrine of Plain and Spherical Trigonometry: With Its Application and ... - Página 34
por William Hawney - 1725 - 479 páginas
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Elements of Plain and Spherical Trigonometry: Together with the Principles ...

John Harris - 1706 - 253 páginas
...DEMONSTRATION. I fay the Sum of the Legs of any Angle <*, is to their Difference : : as the Tangent of i the Sum of their oppofite Angles, is to the Tangent of half their Difference. Produce O one of the given Legs of the Angle given, till af become equal to H or C «, and then bifeft...
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A new system of mathematics: Containing plane gometry; general investigation ...

1769 - 92 páginas
...BC-CA: BD + DA. PROP. Fig. 27. 80. In any unequal Jided triangle ABC, the fum of the fides BC, AC, is to their difference, as the tangent of half the fum of the oppofae angles A, B, is to the tangent of half their difference. Let the fame conftru&ion be as...
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A compendious course of practical mathematics: Particularly adapted to the ...

Paul Hoste - 1769
...confequently, fince (by 4. AE is to DA, as CE toDF, it is certain, tha* the fum of the fides BA, BC, is to their difference, as the tangent of half the fum of the angles A and C, is to the tangent of an angle, which added to the faid half, will make the greater...
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New Elements of Mathematics: Or Euclid Corrected. Containing Plane Gometry ...

John Muller - 1773 - 130 páginas
...: BC-CA:BD + DA. PROP. Fig. 27: 80. In any unequal fided triangle ABQ the fum of the fides BC, AC, is to their difference, as the tangent of half the fum of the oppofite angles A, B, is to the tangent of half their difference. Let the fame conftruction be...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 páginas
...being given, the fourth is alfo given. PROP. III. FIG. 8. TN a plain triangle, the fum of any two fules is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. Let ABC be a plain triangle, the fum...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 264 páginas
...or BAC f. Wherefore, Sec, f fcho1PROP. Ill, TN any right lined triangle, ths fum of any two fides., is to their •*• difference, -as the tangent of half the fum of the angles at the kafe, is to the tangent of half their difference. Let ABC be the triangle, the fum...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 páginas
...given, the fourth is aid » given. PROP. III. FIG. 8. IN a plain triangle, the fum of any two fides is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference. Let ABC be n plain triangle, the fum...
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The Navigator's Assistant: Containing the Theory and Practice of Navigation ...

William Nicholson - 1784 - 223 páginas
...the fame proportion as their halves, it will follow that, , The fum of any two fides .... . • ! i Is to their difference, ., , . . . As the tangent of half the fum of the angles not included between the two afTumed fides, Is to the tangent of half the difference of...
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An Account of the Life, Writings, and Inventions of John Napier, of Merchiston

David Stewart Erskine Earl of Buchan, Walter Minto - 1787 - 134 páginas
...Cof af-cof b : cof a — cof b : : cot ^ : tang t±?. (4) Lem. 3. The fum of the fines of two arcs is to their difference as the tangent of half the fum of thofe arcs is to the tangent of half their their difference. * Sin a + fin b : fin a — fin b : :...
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A Complete Treatise on Practical Mathematics: Including the Nature and Use ...

John McGregor (teacher of mathematics.) - 1792 - 431 páginas
...their difference; and fince EG and 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...
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