. Trigonometria. de oppofite to the angle given, ? C So the fine of the other fide, To the fine of t he angle given: Sit To the fine of the ang, inqnired, Confe£t. 3 • Ch. V Illiiflration Arithmetical. * J ■: • Asthe fine of the fide AD To the fine of the angle A CD 9-92690573 So the fine of the fide A C 33> 9-69896070 the fine of the angle ADC 9-85913,350 The two angles together with their opp0fite fides thm acquired, we may alfo finde the third angle afterthe fame manner^whereby we found the third fide, in the firfi Problem of this Chapter*
. Trigonometria. de oppofite to the angle given, ? C So the fine of the other fide, To the fine of t he angle given: Sit To the fine of the ang, inqnired, Confe£t. 3 • Ch. V Illiiflration Arithmetical. * J ■: • Asthe fine of the fide AD To the fine of the angle A CD 9-92690573 So the fine of the fide A C 33> 9-69896070 the fine of the angle ADC 9-85913,350 The two angles together with their opp0fite fides thm acquired, we may alfo finde the third angle afterthe fame manner^whereby we found the third fide, in the firfi Problem of this Chapter* 1 As the fine of half the difference of the fides 3 ©? To the fine of half the fum of the fides So the tangent of half the differ, of the ang. 19,51102430Totang. of the compl. of half the other angle *44 Half the other angle And therefore this doubled is », the angle D A C inquired. Z PROBL> 86 Trigdnometria Britannica*. rl P R O B L. 7. tw« *4*i ^ fo fide comprehended bj, them given, tofinde the other Angle. In the obliquaugular triangle A C D,the angle ADCis inquired : I Super. Scheam. 2 Infer. Scheam C rDC A ^ ] The given < Angles^ Q £ ^DAC 3^.T3i2rj Side AC 30 jC 4--H66 The term s ofj proportion. 1 For the fegment of the vertical angle, hj the 6 Trebl. %C As the Radius,&)To the co-fine of the Hy potenuft:Qj So the tang, of the angle at the bafe^%lfTo the fegment ofthefirfi vertical ang. [ ^ 2 For the angle inquired) by the fourth Confetc. As the fine of the fir ft fegment of the vertical angle %ro the fine of the fegment of the vertical angle :So the co-fine of the angle at the bafey9.£To the Co-fine of the angle inquired. If the perpendicular fall within, the arch found ; Ifwithout, the complement of the arch laft found to a fe-micircle, is the angle inquired. Illttfiration Arithmetical. As the Radius A S 9© © To the tange
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Keywords: ., bookcentury1600, bookdecade1650, bookidtrigonometri, bookyear1658
