The Young Trigonometer's Compleat Guide: Being the Mystery And Rationale of Plane Trigonometry ...

Cover The Young Trigonometer's Compleat Guide: Being the Mystery And Rationale of Plane Trigonometry ...
The Young Trigonometer's Compleat Guide: Being the Mystery And Rationale of Plane Trigonometry ...
Martin, Benjamin, 1704-1782
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Analogy, s C A : R : : t BA : t C.
Set the S of 28 30' on L, to the 5 of 90** on F; then againft the T of 36^ 15' pn L, is the 7* of 56« 5/ on F 1^ See the Remark ac the End of this Chapter* Cife l$6 Method 5. Of folviug Right-angled Cafe 6.
^'''^" ** and the Angle — C = 5^ 57 { I. 7J? ^«^ the Hypthemfe B C.
The Analogy, t C : c t B : : R : c s B C.
Set the 7* of 56° sy' on F, to the T of 47^ 26^ on L ; then agairift the 5 of go^ on L, is the 5 of 45^ 08^ on F.
2. To find the Leg A B.
The Analo
...gy, s B : c s C : : R : c s B A Set the 5 of 42^ 34' on F, to the .J of 33** 03/ on L ; then againft the S of 90? on F, is the 5 of 53^ AS' on Z.
3. To find the Leg A C.
The Analogy, s C : c s B : : R : c s J C.
Set the S of 560 57 on F, to the 5 of 47** 26' on L •, .
then againft the S of 90P on F, is the 5 of 61 ° 30' on L.
In working any Analogy, by the Examples above, 'tis plain there is no Difficulty by the Sliding-rule, when the Analogy contains Tangents, both Greater or both Lefi than 45® j but when one Tangent is Greater^ and the other Lcfler, than 450, then either the Line of Tangents, both on the Rule and the Slider, muft be continued out beyond 45, to work the Analogy by once letting the fiiftrument, or if ( as is moft com- mon Spherical Triangles hy the Sliding-rule.


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