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 Llibres Llibres To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference... A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Pàgina xxxi
per John Bonnycastle - 1806 - 419 pàgines
Visualització completa - Sobre aquest llibre ## A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - 1788 - 703 pàgines
...the fum of any two fides is to their difference, fo is the tangent of half the fum of their oppofite angles, to the tangent of half their difference. Then the half difference added to the half fum of the angles, gives the greater ; and fubtracled, leaves the let's angle*. Then,...
Visualització completa - Sobre aquest llibre ## Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 2

1801 - 426 pàgines
...and the angle included by them ; to find the rest. In a plane triangle, As the sum of any two sides : Is to their difference : : So is the tangent of half...• To the tangent of half their difference.* Then * DEMONSTRATION. By the first problem, the sides' are as the sines of their- opposite angles, wnd consequently...
Visualització completa - Sobre aquest llibre ## Mathematics, Volum 1

Samuel Webber - 1808
...and the angle include^ by them; to fmd the rest. In a plane triangle, As the sum of any two sifts : Is to their difference " : : So is the tangent of...angles : To the tangent of half their difference.* * DEM0NSTRATI0N. By the first problem, the sides are as the sines of their opposite angles,aml consequently...
Visualització completa - Sobre aquest llibre ## A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 551 pàgines
...Or the angles opposite the given sides may be determined as follows. As the sum of the given sides is to their difference, so is the tangent of half...sum of their opposite angles to the tangent of half the difference of the same angles, (Trig. Prop. 6.) And this half difference of the angles added to...
Visualització completa - Sobre aquest llibre ## The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 180 pàgines
...the remaining side and angle, 1! i ii. As the SUM of the TWO GIVEN SIDES, is to THEIR DIFFERBNCE ; so is the TANGENT OF HALF THE SUM OF THEIR OPPOSITE ANGLES to the tangent of HALF THE DIFFERENCE of those angles. Then if we add the half difference of the angles, so found, to their...
Visualització completa - Sobre aquest llibre ## Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841
...II Rule for the Second Case. As the sum of the two given sides is to the difference of those sides, so is the tangent of half the sum of their opposite angles, to the tangent of hajf their difference. This half-difference, added to the half sum, will give the greater angle * :...
Visualització completa - Sobre aquest llibre ## An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - 1842 - 1089 pàgines
...said unknown angles ; and using the following ratio, we have — As the sum of the two given sides Is to their difference, So is the tangent of half...sum of their opposite angles To the tangent of half the difference of the same angles. Now the half sum of any two quantities increased by their half difference...
Visualització completa - Sobre aquest llibre ## The Elements of Plane Trigonometry

James Hann - 1854 - 119 pàgines
...sides are given. m A n By An. 19, ^4 = г ? : R; • a - b tan £ ( A - B) Hence the following rule : As the sum of any two sides of a plane triangle is...opposite angles to the tangent of half their difference. By Art. 16, cos A = — -т ; Л a' - 6" = c" - 26c cos A = C(c'- 26 cos A), (a -f 6) (a - Í) = С...
Visualització completa - Sobre aquest llibre ## The artillerist's manual, and compendium of infantry exercise

...their contained angle, are given. As the sum of the two sides, is to the difference of the sides ; so is the tangent of half the sum of their opposite angles, to the tangent of half the difference of the same angles. Then by adding half the sum to half the difference the greater angle...
Visualització completa - Sobre aquest llibre ## The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - 1859 - 354 pàgines
...their contained angle, are given. As the sum of the two sides, is to the difference of the sides ; so is the tangent of half the sum of their opposite angles, to the tangent of half the difference of the same angles. Then by adding half the sum to half the difference the greater angle...
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