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. V. Case 5. Two Sides and an Angle opposite to one of them gi∣ven, to find the third side.

In the Triangle ADE, there is given the Side* 1.1 AE 70° 00', the Side DE 38° 30', and the Angle A 30° 28', the Side AD is required.

First by Case 1. Prop. 1. I find the Angle at D to be 130° 03', and then proceed thus

First take the Sum and Difference of the two Angles; then also find the Difference of the two Sides given, and then work as followeth.* 1.2 * 1.3

Now say,

As S. ½ X. VV. D and A, 49° 47' 30",

To S. ½ Z. VV. D and 〈…〉〈…〉, 80 15 30.

So is T. ½ X. cr^s. AE and ED, 15 45 00,

To T. ½ cr. AD. 20° 00' 00": which doubled giveth the Side AD, 40 00 00, as was required.

Notes

• * 1.1

  Fig. 39.
• * 1.2

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• * 1.3

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