Emerson^ Arithmetic of Infinites, hfc, 433* And thus we have an aftronomical demonftration of the truth of this ancient prophecy, feeing that the prophetic year of the Meffiah’s being cut off, was the very fame with the agronomical.6 Befides, we have the teftimony of a heathen author, which agrees with the fame year. For Phlegon informs us, that in the fourth year of the 202d Olympiad, (which was the 4; 46th year of the Julian period, and the 33d year after the year of Chrift’s birth) there was the.greateft eclipfeof the fun that ever was known j for the darknefs lafted three hours in the. middle of the day : which could be no other than thedarknels on the crucifixion-day; as the fun never was totally hid above four minutes of time, from any part of the earth, by the interpofitioa of the moon.i If Phlegon had been an aftronomer, he would have known that the faid darknefs could not have been occafioned by any regular eclipfe of the fun ; as the moon was then in the oppofite fide of the heavens, on account of her being full. And' as there is no other body than the moon that ever comes jjetween the fun and the earth, it is evident, that the darknefs at the crucifixion was miraculous, being quite out of the ordinary courfe of nature.’Several other curious particulars are fcattered in different parts of this mifcellaneous work ; which, together with the many valuable tables it contains, render the whole at once both ufeful and entertaining. #The Arithmetic of Infinites, and the differential Method, illufirated by Examples. The Elements of the Conk Settiom, demonjlratecl in three Books. Book I. Of the Ellipfis, Book II, Of the Hyperbola. Book III. Of the Parabola. The Nature and Properties - of Curve Lines,' Book I. Of the Conchoid, Cijfiid, Cycloid, §ua-dratrix, Logarithmetic Curve ; the Spiral of Archimedes, the Log-arithmetic Spiral the Hyperbolic Spiral. Bosk II. Of Curve Lines in general, and their Affebiions. By W* Emerfon. 8vo.7 s, 6 d. Nourfe. 1767.TH E work before its is a continuation of a courfe of mathematics, with which the ingenious Mr. Emerfon pro-pofcs to oblige the public, and which every true lover of thofe iciences muft fincerely wiih he may accomplifh. The neatnefs and elegance of the folutions and demonffrations in this able mathematician’s writings, are very remarkable; and the per-fpicuity aiid concifenefs with which the whole is delivered, render his works a very valuable acquilltion to the republic offcience.The firfl: article of this work, viz. The arithmetic of infinites, is contained in nine pages; but the whole theory, and its application to pradtke, is delivered in fo confpicuous a man-R£V.,De.c. 17(7. F f ner