This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1658 edition. Excerpt: ...the leggivenie To the leg inquired 5 In the reetangulatttiangle A B C, the Hypotenufa A C is inquired, from the vi: the Radian, So the want of the angle eonterminate with the Ieggiven, To the lg gizgen: To the H ypetennfn inqmred: by the 2 Prop. Chap. 2. The leg: given, tafind the H ypatenttfa. In the reehtngular triangleA B C, the Hypotenufa A C is inquired, from the A B I I = 3-794;._ 0 Given Legs B C 605.8601 The terms of proportion. 1 For either of the acute angles A: either leg, . To the other leg = Propomon so '-1 RM," To the tangent of the angle appefite to the other leg: P1'op.1..Chap. 2. 2 For the Hypotenufa. Nm, If the given angle be obtufe, the firlc oppofite thereto lhall be greater then either of the rell. and the other two angles hall be acute.. But if the given angle be acute, and t_he'fides given, it will be doubtful whether the angle l oppofite to the greater fide be obtufe, right, or acute, and yet the fourth proporrign fl;;,11bcents alwayes the fame, namely, the fine of the acute angle, or its complement to two right. Therefore that we may be certain of what quality the angle is, which is 0 pofite to the reater fide, let there be taken the lumme and difference of the greatell fidcancl) middle. (or eall:, ) and thL'l' Loganthms;. If the hall of them be equl to the Logarithm of the third fide, the angle oppofite to the greater fidc 15 _a right angle'; But if the Logarithm of the third fide, be greater then the halle, H115 acute, it lclle it is obtufc: vi: the learned Mr. Brigges in bi; Arxtbmeticn Logaritlsmicn, cap. 18-The London Edition. 37-4454, Whofe cotang. Natural is 13 05890. P 2 A, Who e c0m_plement is deg.a6. ' 48 2, The angle A C B oppofite to t e lefier fide