Books Books
The cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference as the cotangent of half the included angle is to the tangent of half the sum of the other two angles. The sine of half the sum of two sides of a...
A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ... - Page 87
by Francis Nichols - 1811 - 128 pages

## Spherical trigonometry

Benjamin Martin - Plane trigonometry - 1736 - 414 pages
...the Tangent of half the Sum of the other two Sides. PROPOSITION V. As the Tangent of half the Bafe, . is to the Tangent of half the Sum of the other two Sides -, fo is the Tangent of half the Difference of the Sides, to the Tangent of half the Difference...

## Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to ...

James Atkinson - Navigation - 1770 - 536 pages
...Sine Complement of Half their Difference ; So is the Tangent Complement of half the contained Angle, to the Tangent of half the Sum of the other two Angles. Axiom 3. Firjt, As the Sine of half the Sum of two Angles ; is to the Sine of half their Difference...

## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...the difference of th£ angles opposite to them : ;UM! also that the cosine of half the sum of these sides, is to the cosine of half their difference, as the cotangent of half the angle contained between them, to the tangent of half the sum of the angles opposite to them. COR. 2....

## Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 684 pages
...have let fall a perpendicular arc, and which lies within the .riangle, the tangent of the half base is to the tangent of half the sum of the other two sides, as the .angent of the half difference of .hese sides is to the tangent of half .he difference...

## Mathematical and Astronomical Tables: For the Use of Students of Mathematics ...

William Galbraith - Astronomy - 1827 - 448 pages
...tangent of half the difference of the angles opposite to them : And the cosine of half the sum of these sides is to the cosine of half their difference, as the cotangent of half tne angle contained between them, is to the tangent of half the sum of the angles opposite to them,t...

## Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 428 pages
...tangent of half the difference of the angles opposite to them : And the cosine of half the sum of these sides is to the cosine of half their difference as the cotangent of half the angle contained between them is to the tangent of half the sum of the angles opposite to them, t or...

## First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...(a — с) ~ tang. ¿ (Л — C)' 77. Theorem. The cosine of half the sum of two sides of a triangle is to the cosine of half their difference, as the cotangent of half the included angle (852) is to the tangent of half the sum of the other two angles, or in (figs. 4. and 5.), cos. ¿ (a...

## First Part of an Elementary Treatise on Spherical Trigonometry

Benjamin Peirce - Spherical trigonometry - 1836 - 84 pages
...(A^~C)J which is the same as (845). 77. Theorem. The cosine of half the sum of two sides of a triangle is to the cosine of half their difference, as the cotangent of hit If the included angle (852) is to the tangent of half the sum of the other two angles, or in (figs....