First Part of an Elementary Treatise on Spherical TrigonometryReprint of the original, first published in 1836. |
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Common terms and phrases
1+cos A'BC A'OC AC the perpendicular adjacent angles angle are known angles are given angles respectively equal AP and PC ar.co B'OC BENJAMIN PEIRCE Corollary cosec cosine of half cotan Demonstration differs from 90 equal to 90 fall on AC Fourthly given angle given leg given sides given value greater than 90 h tang half the sum Hence hypothenuse included angle Lemma less than 90 Let ABC fig let fall logarithm means of 496 middle negative obtuse opposite angle opposite side perpendicular BP perpendicular to AOC planes BOC Problem quotient right angle right tri right triangle fig right triangle PBC Scholium secant second member Secondly side BC sides and angles sides equal Solution of Spherical solve a spherical solve the triangle spherical right triangle spherical triangle ABC SPHERICAL TRIGONOMETRY substituted supplements surface ABC tangent of half Thirdly tive trian triangle ABC figs