An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis of Angular Sections

already angles opposed angular appears Application base becomes calculation called centre circle common computed considered continued cos.a cos.b cos.c cos.w cos.x cotangent deduced denominator described determine difference Differential distance divided division drawn effect equal equation error established expressed extremities follows former formulæ four given gives greater half Hence hypothenuse included angle integer intersection known length less logarithms lune manner measured method multiplying necessary negative object observed obtain opposite perpendicular placed plane plane triangle poles positive powers principles problem produced PROP proposed quantities radius ratio reduced relation remaining side respectively right angles rules secant secondary sides similar sin.a sin.b sin.c sin.w sin.x sine and cosine solution species sphere spherical triangle substituted supplemental supposed surface tables tangents terminated third trigonometrical unity vertical