. The cyclopaedia; or, Universal dictionary of arts, sciences, and literature. Encyclopedias and dictionaries. as, or s 4 ibr~ - ; then (dm x (fm x ma = ) b* â c5 ; which equation gives r e= / the point m becomes a point of inflexion. ab' when a + 2b Now, as m R (r) muft, by the nature of the circle, always be greater than ma; that is, as k / V a â¢+⢠21 and, confequently,. of T~ ab' muft always be De more 2b b â c be more than always be more than that is, E M muft be more than a third proportional to E S and E A, in order to have a point of inflexion take place in the curve : but in the pref
. The cyclopaedia; or, Universal dictionary of arts, sciences, and literature. Encyclopedias and dictionaries. as, or s 4 ibr~ - ; then (dm x (fm x ma = ) b* â c5 ; which equation gives r e= / the point m becomes a point of inflexion. ab' when a + 2b Now, as m R (r) muft, by the nature of the circle, always be greater than ma; that is, as k / V a â¢+⢠21 and, confequently,. of T~ ab' muft always be De more 2b b â c be more than always be more than that is, E M muft be more than a third proportional to E S and E A, in order to have a point of inflexion take place in the curve : but in the prefent cafe, E S, E A, and + b EM, being as , and 34° or .059 ; therefore EM is lefs than the faid third proportional ; and, confe- quently, the curve Mmu, generated by the centre of the moon, has not a point of inflexion, or is no where convex towards the fun. See Fergufon's Aftronomy, p. 129, &c- Maclaurin's Account of Sir Ifaac Newton's Phil. Difc. book iv. ch. 5. p. y^6, &c. Rowe"s Fluxions, d. 12-, &c. Moon, AJlronomy of the. 1 â To determine the period of the moon's revolution round the earth, or the periodic^} month ; and the time between one oppofition and another,, or the fynodical month. Since in the middle of a lunar eclrpfe the moon is op- pofite to the fun, compute the time between two eclipfes, or oppofitions, between which there is a great interval of time ; and divide this by the number of lunations that have pafled in the mean time ; the quotient will be the quantity of the fynodical month. Compute the fun's mean motion, during the time of the fynodical month, and add this to the entire circle defcribed by the moon. Then, as the fum is to- 3600, fo is the quantity of the fynodical month to the periodical. Thus, Copernicus, in the year icco, November 6, at twelve at night, obferved an eclipfe of the moon at Rome ; and Augult 1, 1523, at 4.'' 25', another at Cracow: hence the quantity of the fynodical month is thus det
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