Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.

PROP. XII. Case 12. Three Angles given, to find a Side.

In the Triangle AZP, the Angle A is 30° 28' 11", the Angle Z 130° 03' 12", the Angle P is 31° 34' 26", and the Side AZ, opposite to P, is required.

This Case is likewise performed as the former Case or Proposition, the Angles being conver∣ted into Sides, and the Sides into Angles, by taking the Complement of the greatest Angle unto 180°: see the work. which being doubled, gives the Side AZ 40° 00 required to be found out and known

☞ But if the greater Side AP were required the Operation would produce the Complem〈…〉〈…〉 thereof unto a Semicircle or 180°; therfo〈…〉〈…〉

substract it from 180°, it leaves the remaining required Side sought.

Thus I have laid down all the Cases of Tri∣angles, both Right-lined and Spherical; either Right, or Oblique-angled; I might hereunto have annexed many Varieties unto each Case, and some fundamental Axioms, which somewhat more would have Illustrated and Demonstrated those Cases, and Proportions; but because of the smallness of this Treatise, which is intended more for Practice than Theory, I have for brevi∣ty sake omitted them, and refer you for those things to larger Authors, who have largely discoursed thereon to good purpose.

Notes

• Fig. 40.
• 〈 math 〉〈 math 〉
• Fig. 40.