. Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . l. Ap. 4th 5 prefent decl. 5 Change 0 r. afc in a day, 54^and .2354 X 54 5 == O r. afcenf. Ap 4. 13 O prefent r. afc. 13 Operation^ Art. IX. THE LONGITUDE. kij Fig. Operation. Bafe, o dift. from D 740 12 32# S. D polar dift. 63 22, co. ar. o polar did. 84 12, co. ar. diff. fides 20 504- bafe 95 02half 47 31, S.»— diff. fides 26
. Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . l. Ap. 4th 5 prefent decl. 5 Change 0 r. afc in a day, 54^and .2354 X 54 5 == O r. afcenf. Ap 4. 13 O prefent r. afc. 13 Operation^ Art. IX. THE LONGITUDE. kij Fig. Operation. Bafe, o dift. from D 740 12 32# S. D polar dift. 63 22, co. ar. o polar did. 84 12, co. ar. diff. fides 20 504- bafe 95 02half 47 31, S.»— diff. fides 26 41, S. S. 37 36>$2 2) <;P ~ 75 diff. right 32«3 Of. afcenfion 88 45 D s r. afcen. now85 32 Dr. af. at noon G 5: 313 r. af, gainedor then 3-2x6x5^55 = 5„44 = 5* And 56 26^ o weft from Greenwich— 4 28 time at the fhip o 58 zz 14^ deg. the longitude weft. The fame Ex. by Rule II. The quantities ms, b, /, v and tv remain thefame •, then, P 3 Preparation* , d 214 OF FINDING Fig. Preparation. A zz a = 4-13°^ B zz b zz C = 9$ 556 c z= D z: ^ zz B+C zz A+D i = .727 C — B zz 3*. C—Bx/ zz 2 957 ^tvf zz zz + y zz $ D *s true lat. D -s longitude D ss co. lat. or 86 44fOperation. In the quadrantal triangle MPS, where P i$the pole of the ecliptic, and PS the funs polardiftance zz 900; MP the D s colat. 86° 44^; MSthe diftance of the fun and moon 74** 12. To findthe <: P. Cof. Mn or S. 86 444 9-9991473rad. 74 12 94350161 cof. «S, or cof. P, 740 id then dif. Ion. of O and ]) zz 740 io ©s long. 14 42? D longit. now 88 52-* D long, at noon 86 oof longit. gained 2 52 zz — zz 5^.42 zz $h 2$m 0 weft from Greenr wich. — 4 28 time at the fhip. o 57 zz 14^- the long. weft. If Art. IX. THE LONGITUDE. 215 If this had been wrought by mean motion, we p-fhould have, the moons right aicenfion 88
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