Què opinen els usuaris - Escriviu una ressenya
No hem trobat cap ressenya als llocs habituals.
abscissa adjacent angles angle or arc circle circumscribed circle computation cos^c cos0 cose cosecant cosine cosq cosr cot0 cotangent cotp cotq csc0 determined without ambiguity different species differs from 90 distance equations Euler's formula formulae of Thm fourth quadrant geom Given two sides greater than 90 hypothenuse less than 90 let xop logarithmic sines nearer 90 nearer to 90 negative angle negative with reference Note oblique angle oblique triangle opposite angle ordinate perpendicular plane triangle abc polar positive or negative possible errors Prob prop'n radius ratios reader may prove revolution right angle right spherical triangle right triangles sec0 secant sin a sin sin(s sin^c sin0 sin6 sinb sine and cosine sino sinosinc sinp spherical triangle abc spherical trigonometry supplement tan0 tang tangent tanp terminal line theorem trigonometric functions values whence wherein
Pàgina 47 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Pàgina 73 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B...
Pàgina 82 - The whole wo11k requires but nine logarithms, or seven without the check, since two of the logarithmic functions are used twice over. The check is to be applied to the sine of the part last found. If the two values got for this sine, natural or logarithmic, differ by not more than three units in the last decimal place, the work is probably right, since the defects of the tables permit this discrepancy in the two results. If such discrepancy exist the mean of the two values may be used. CASE 1 . Given...
Pàgina 10 - The sine is positive in the first and second quadrants, and negative in the third and fourth : • 2d.
Pàgina 68 - Any angle is greater than the difference between 180° and the sum of the other two angles.
Pàgina 35 - ABCDE and A'B'C'D'E' are similar. QED Ex. 1313. To construct a regular hexagon equivalent to one half of a given regular hexagon. PROPOSITION X. THEOREM 416. The perimeters of regular polygons of the same number of sides have the same ratio as their radii or as their apothems. B Given P and P' the perimeters of two regular polygons of the same number of sides, having the radii OA and O'A', and the apothems OD and O'D
Pàgina 59 - Given two sides and the included angle; for example, b, c, and A. (1) For the area, multiply half the product of any two sides by the sine of the included angle. (2) For the perpendicular upon either given side, multiply the adjacent side by the sine of the included angle. For, draw DcJ-Ав; then, v к =£DC.
Pàgina 35 - For, let c be the circumference of a circle, ^ , o the centre, p and p' the perimeters of two ^^ \ regular polygons of the same number of sides, the first inscribed in and the other circumscribed about the circle, and having their sides PP', TT', parallel each to each. Draw OAX-LPP...