A Treatise of Algebra, in Three Parts: Containing I. The Fundamental Rules and Operations; II. The Composition and Resolution of Equations of All Degrees, and the Different Affections of Their Roots; III. The Application of Algebra and Geometry to Each Other. To which is Added an Appendix Concerning the General Properties of Geometrical Lines |
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A Treatise of Algebra, in Three Parts: Containing I. The Fundamental Rules ... Colin MacLaurin Uten tilgangsbegrensning - 1756 |
Vanlige uttrykk og setninger
alſo appears ariſe arithmetical aſſumed autem becauſe becomes biquadratic called caſe coefficient common conſequently cube cubic equation curvæ curvam curve demonſtrated denominator determined difference dimenſions divided diviſor ducantur equa equal erit example exceeds expreſſion fame firſt firſt term follows four fraction give given greater greateſt involving laſt term leaſt leſs limits locus meaſure multiplied muſt negative occurrat ordinis parallela points poſitive progreſſion propoſed equation puncto punctum quadratic equation quæ quantity quotient rational recta rectæ reduced remainder reſolved reſpectively reſult roots Rule ſame ſame manner ſecond term ſeries ſhall ſide ſigns ſimple equations ſince ſome ſubſtitute ſuch ſum ſuppoſe taken tangentes theſe third thoſe tion transformed unit unknown quantity vaniſh whence whoſe
Populære avsnitt
Side 76 - AB there be taken more than its half, and from the remainder more than its half, and so on ; there shall at length remain a magnitude less than C.
Side 56 - A privateer running at the rate of 10 miles an hour discovers a ship 18 miles off making way at the rate of 8 miles an hour : how many miles can the ship run before being overtaken ? Ans.
Side 113 - ... -{-24, equal to nothing, according to the propofed equation. And it is certain that there can be no other values of x...
Side 373 - This is a quarto volume, containing xxxii + 38 pages, and three plates of figures. The title points out that the work consists of two parts ; we are principally concerned with the first part : on...
Side 198 - The demonftration is deduced from the laft article, as the 7 8th is from the preceding. CHAP. IX. Of the Methods by which you may approximate to the roots of numeral Equations by their limits. §84. TT 7 HEN any equation is propofed W to be refolved, firft find the limits of the roots (by Chap. 5.) as for example...
Side 22 - Rule. Multiply the numerator of the dividend by the denominator of the divifor, their produit ¡hall give the numerator of the quotient. 'Then multiply t be denominator of the' dividend by the numerator of the divifor, and their predu£f jhall give the denominator.
Bibliografisk informasjon
| Tittel | A Treatise of Algebra, in Three Parts: Containing I. The Fundamental Rules and Operations; II. The Composition and Resolution of Equations of All Degrees, and the Different Affections of Their Roots; III. The Application of Algebra and Geometry to Each Other. To which is Added an Appendix ... |
| Forfatter | Colin MacLaurin |
| Utgave | 2 |
| Utgiver | A. Millar & J. Nourse, 1756 |
| Original fra | University of Michigan |
| Digitalisert | 12. jun 2007 |
| Lengde | 432 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |