A new treatise of fluxions

Simpson, Thomas

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Monographie

Strukturtyp:: Monographie

Werks-URN (URL):: https://nbn-resolving.org/urn:nbn:de:kobv:11-710449

URN:: urn:nbn:de:kobv:11-710449

Persistenter Identifier:: BV043337489

Titel:: A new treatise of fluxions

Untertitel:: wherein the direct and inverse method are demonstrated after a new, clear, and concise manner, with their application to physics and astronomy ; also the doctrine of infinite series and reverting series universally, are amply explained, fluxionary and exponential equations solved , together with a variety of new and curious problems

Autor:: Simpson, Thomas

Erscheinungsort:: London

Verlag:: Gardner

Erscheinungsjahr:: 1737

Umfang:: IV, 216 S. : graph. Darst.

Beschreibung:: Astronomie und Astrologie

Signatur:: Ob 8098:F8

Sammlung:: Historische Drucke > Verzeichnis der deutschen Drucke des 18. Jhs.

Wissensgebiet:: Astronomie und Astrologie

Kapitel

Strukturtyp:: Kapitel

Titel:: Part II.

Sammlung:: Historische Drucke > Verzeichnis der deutschen Drucke des 18. Jhs.

A Treatise 0/ F l u x i o n s. 1—X—X-)I+M1—2^( i+»-i-3«H"4»4*5*H'9;!i;5-f14** I —x — X1 x-f-zx11—zx^ X—X'-—X: i _____ 3 XJ z X^- 3^—3^3—3^ 4.X3~[-X+ —430^—43c5 5^—53c5—52c6 93<:5"j-5.v6 gxs—gx6—gx7 1 /{.x^-j-gx1 T 4X5— 143c7---14;^ By the three laft Steps the Law of Continuation may be feen, and is fuch that the Coefficient of each Term will be equal to the Sum of thofe of its two precceding Terms. Thus much of Series by Divilion. It now remains to (hew the Manner of putting a Compound Surd Quantity into an infinite Series, by the common Methods of Extraction : But as the other Methods in moft Cales are vafcly preferable, I fhall here only confider the Square Root, and that becaufe of its great Eafe and Ufefulnefs.RULE. 81. f“|p A K E the Square Root of the firft (which ought to be 1 the greateft) Term in the given Quantity, and double it for a Divifor ; and by that divide the greateft of the remaining Terms, and having put down the Quotient thence arifing, for a new Term in your Root, multiply the whole Divifor thereby, and to the Produd: add the Square of that Term ; and then by taking that Sum from the remaining Terms, or Refoivend, there will

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