. Trigonometria. ofite to a legy J O r As the Radius,\To the leg oppofite to the angle : (°% jTo the fecant of the angle conterminat with the leg : So the whole fine, f ~g ) So the leg conterminate with the angle, To the Hyptenufa. J f• To the Hypotenufa; Prop. 2. Chap, ti Illufiration by Numbers, 1 for the angle B A C. As the leg A B Totheleg So the Radius A B To the tangent of B AC 3 For the Hypotenufa. As the fine of B AC ;7628i2i To the whole fine SothelegBC To the Hypotenufa
. Trigonometria. ofite to a legy J O r As the Radius,\To the leg oppofite to the angle : (°% jTo the fecant of the angle conterminat with the leg : So the whole fine, f ~g ) So the leg conterminate with the angle, To the Hyptenufa. J f• To the Hypotenufa; Prop. 2. Chap, ti Illufiration by Numbers, 1 for the angle B A C. As the leg A B Totheleg So the Radius A B To the tangent of B AC 3 For the Hypotenufa. As the fine of B AC ;7628i2i To the whole fine SothelegBC To the Hypotenufa A C 1276,7067 P CHAP eA lirigonometria Britannic a, CHAP. V. Of the Dimenfion of plain Obltquangukt Triangles. T R O B L. i. Tm fides and an angleoppofite to one of them given ; to find the angle oppofite to the other Obliquangnlar triangle A B C, the obtufe angle A B C is inquired from r CAC 127^.7057 Thegiven) SIdes ^c u%^£ Angle CAB The terms of proportion. ; 1 Ast(lot he <. ^p-\ As the one fide,£\Jo the other fide* g r So the fine of the angle oppofite to the one fide :\To the fine of the angle oppofite to the other fide : Prop. 5» Illtfftration Arithmetical* As the fide BC To the fide AC So the fine of B A C 3 Surrime To the fine of A B C deg. Hence by the complement the other angle A C B deg. Note, Ifthe given angle be obtufe, the fide oppofite thereto lhall be greater then either ofthe reft! and^the other two angles (hall be acute. #:.,;.... .; . , ^ But ifthe given angle be acute, and the fides given, it will be doubtful whether the angleooDofitc to the greater fide be obtufe, right, or acute, and yet the fourth proportion lhall the fame , namely, the fine of the acute angle, or its complement to two right. Therefore that we maybe certain of what quality the angle is, which is oppofite to theore-itcr fide ~ let ther
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Keywords: ., bookcentury1600, bookdecade1650, bookidtrigonometri, bookyear1658
