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Libros Libros 11 - 20 de 99 sobre AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles...
" AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles ACB and ABC, to the tangent of half their difference. "
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Página 18
por Olinthus Gregory - 1816 - 244 páginas
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The British encyclopedia, or, Dictionary of arts and sciences

William Nicholson - 1809
................... l .75486 Axiom III. In every plane triangle it will bn as the sum of any two sides is to their difference; so is the tangent of half the sum of the angles opposite there, to the tangent of half their difference. Which lialf difference, being added to half...
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Trigonometry, Plane and Spherical: With the Construction and Application of ...

Thomas Simpson - 1810 - 125 páginas
...co-sine AC : : tang. C : co-tang. A. £>. E, D. LEMMA. As the sum of the sines of two unequal arches is to their difference, so is the tangent of half the sum of those arches to the tangent of half their difference : and, as the sum of* the co-sines is to their...
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The Modern Preceptor Or a General Course of Education: Containing ..., Volumen1

John Dougall - 1810 - 580 páginas
...to EF; AD, however, is the sum of the sides, and AE their difference; while DC was shown above to be the tangent of half the sum of the angles at the base, and EF is the tangent of rulf their difference ; the proposition is, therefore, demonstrated. PROP....
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 508 páginas
...wholes are as their halves, that is, AH: Iff : : CE : ED, that ia as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference. 2. E. DK THEO. III. fig. 12. In...
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Institutes of Natural Philosophy: Theoretical and Practical

William Enfield - 1811 - 428 páginas
...SRM, the sides RS, RM, being thus found, the sum of the two sides RS, RM, is to their difference, as the tangent of half the sum of the angles at the base RSM, RMS, is to the tangent of half their difference. To half the sum add half the difference, and...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...of half their difference : also, that the base is to the sum of the other two sides, as the cosine of half the sum of the angles at the base, to the cosine of half their difference. Ex. 14. How must three trees, A, B, c, be planted, so that the angle...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volumen2

Charles Hutton - 1812
...Prove that, in any plane triangle, the base is to the difference of the other two sides, as the sine of half the sum of the angles at the base, to the sine of half their difference : also, that the base is to the sum of the other two sides, as the cosine...
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Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - 1813 - 534 páginas
...the angle CDB, and the side CD: to find CDB we use this proportion; as the sum of the two given aides is to their difference, so is the tangent of half the sum of the two unknown angles to the tangent of half their difference; the angle C'DB being found; the following...
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Easy Introduction to Mathematics, Volumen2

Charles Butler - 1814
...6.) and AF : AE:: FB : ED (16. 5.) ; that is, the sum of the 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. QED When two sides and the included angle are given, the remaining angles may be found by this proposition...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volumen2

Charles Butler - 1814
...preceding article. 71. In a plane triangle, tte sum of any two sides : is to their difference ,: : as the tangent of half the sum of the angles at the base : to the tangent of half the difference. Let ABC be a triangle, from C as a centre with the .least side CJ3 as radius, describe...
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