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Elements of Plane and Spherical Trigonometry: With Practical Applications
Uten tilgangsbegrensning - 1867
A B G acute angle adjacent sides angle equal angle of elevation angle opposite angle or arc Arithme arithmetical complement column headed cos2 cosecant cot h Cotang coversed sine decimal denoted divided Elementary Algebra equal to 90 equation equation Art feet find the sine formula Geom Geometry given number Given the hypothenuse Given two sides Greenleafs half the sum half their difference Hence included angle log cos log cot log sin logarithmic cosine logarithmic sine logarithmic tangent M. M. Sine minus the logarithmic Napier's rules negative oblique oblique-angled spherical triangle Parker's Exercises perpendicular plane triangle Prop right-angled spherical triangle right-angled triangle equal rods School secant side b equal side opposite sides equal sin a sin sin2 sine and cosine Solution solve the triangle spherical triangle ABC SPHERICAL TRIGONOMETRY subtract sun's declination suvers Tang tangent of half three sides triangle ABG trigonometric functions values whence yards
Side 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Side 74 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Side 43 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Side 39 - ... be at the head of the column, take the degrees at the top of the table, and the minutes on the left ; but if the name be at the foot of the column, take the degrees at the bottom, and the minutes on the right.