. Trigonometria. rence The aggregate is deg. 8T .128 3 ^Aggregate is Therefore it is all one whether I fay, As Radius to tangent , or as Radius to i. 1 3 8 3, fave onely that addition is fomewhat more ready then fubtra&ion, and is thereforethe method ufed in Aftrowmi* Bmanmca, L. <trigomniitria Brit$rmic(i. 57 P R O B L. 3. The three fides given, f find an angb. IN the Obliquangular triangle A B C, either angle is inquired; fnp^ofe BAC fromthethree fides cAC Given ^AB ^BC ]For the folution of this Problem,there are re-quired tw
. Trigonometria. rence The aggregate is deg. 8T .128 3 ^Aggregate is Therefore it is all one whether I fay, As Radius to tangent , or as Radius to i. 1 3 8 3, fave onely that addition is fomewhat more ready then fubtra&ion, and is thereforethe method ufed in Aftrowmi* Bmanmca, L. <trigomniitria Brit$rmic(i. 57 P R O B L. 3. The three fides given, f find an angb. IN the Obliquangular triangle A B C, either angle is inquired; fnp^ofe BAC fromthethree fides cAC Given ^AB ^BC ]For the folution of this Problem,there are re-quired two operations. The fir ft will be for thefegment D A5the fecond for the angle inquired. I For the fegment D A. The terms of the bafe, or greater fidey\To the fnmme of the other fidet:J So the difference of the other fides,q£To the difference if the fegment of the bafe. IllufiratUn k) the greater fide AC 1^ the fumme of A B and B C is the difference H A 13 , 17514*17a.;635*74* 5^947 To the bafe AD differ, of this and the bafe C D half whereof is CE or DE Hence A E Knowing the fegments, we may find the angles of cither reftingular triangle, bj thefeeondProblem of the third Chapter, but wc fhall find the angle E C B. The terms of proportion.*/i$ theleggivent ? f So the RadiuiyTo a Hjpotennfagiven\ \\To the Secant of the angle comprehended by the Data* - Illufkration Arithmetical As the leg given C E °o» TotheHvpotenufa given CB So the Radius C E * To the Secant of theangleECBdeg ^4 Now though this Canon doth notexhibite the Logarithms of the Secants, yet if this fourth*which is indeed the Logar ithm of the Secant be fubtra&ed from twice Radius, there fhall re-maine the Logarithm nne of the complement of the angle E C B. As for Radius Logarithm of the Secant
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Keywords: ., bookcentury1600, bookdecade1650, bookidtrigonometri, bookyear1658
