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 LinesF. Wingrave; T. Longman; W. Richardson; G. G. and J. Robinson; F. and C. Rivington; W. Lowndes; and Cadell and Davies., 1796 - 504 sider |
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Resultat 1-5 av 51
Side 39
... order ; it is not found in the first term , but its exponent in the fecond term is unit , in the third term its ex- ponent is 2 ; and thus its exponent increases , till in the laft term it becomes equal to the expo- nent of the power ...
... order ; it is not found in the first term , but its exponent in the fecond term is unit , in the third term its ex- ponent is 2 ; and thus its exponent increases , till in the laft term it becomes equal to the expo- nent of the power ...
Side 58
... third , and divide the product by the first , the quotient shall give the ... order ; for which you may obferve the following Rule . < c First fet down ... order ; and 58 A TREATISE of PARTI .
... third , and divide the product by the first , the quotient shall give the ... order ; for which you may obferve the following Rule . < c First fet down ... order ; and 58 A TREATISE of PARTI .
Side 59
... order ; and you are to proceed according to the rule , multi- plying the fecond by the third , and dividing their product by the first . EXAMPLE . If 30 men do any piece of work in 12 days , bow many men fhall do it in 18 days ? Because ...
... order ; and you are to proceed according to the rule , multi- plying the fecond by the third , and dividing their product by the first . EXAMPLE . If 30 men do any piece of work in 12 days , bow many men fhall do it in 18 days ? Because ...
Side 161
... order of the coefficients is inverted ; fo that if the second term had been wanting in the pro- pofed equation , the laft but one fhould have been wanting in the equations of y and z . If the third had been wanting in the equation pro ...
... order of the coefficients is inverted ; fo that if the second term had been wanting in the pro- pofed equation , the laft but one fhould have been wanting in the equations of y and z . If the third had been wanting in the equation pro ...
Side 188
... third must neceffarily be equal to the laft term divided by the product ab ... third root . For putting = - 6 , you have - x3 - 2x2 - 33x + 90 = -216-72 + ... order to find the rest with lefs trou- ble , divide the propofed equation by ...
... third must neceffarily be equal to the laft term divided by the product ab ... third root . For putting = - 6 , you have - x3 - 2x2 - 33x + 90 = -216-72 + ... order to find the rest with lefs trou- ble , divide the propofed equation by ...
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A Treatise of Algebra: In Three Parts. Containing. The fundamental rules and ... Colin MacLaurin Uten tilgangsbegrensning - 1748 |
A Treatise of Algebra: In Three Parts. Containing. The fundamental rules and ... Colin MacLaurin Uten tilgangsbegrensning - 1796 |
A Treatise of Algebra, in Three Parts: Containing I. The Fundamental Rules ... Colin MacLaurin Uten tilgangsbegrensning - 1748 |
Vanlige uttrykk og setninger
adeoque affumed afymptote alfo alſo arife arithmetical progreffion autem becauſe biquadratic cafe cafu coefficient common meaſure confequently conic fection contactus Corol cube cubic equation curvæ curvam curvature demonftrated dimenfions divided divifor drawn ducantur ducta enim equa equal erit expreffed fame manner fame right line fecond term feries fhall fide figns fimple equations fince firft firſt flexus fome fquare root fubftitute fubtract fuch fuppofe furd greateſt harmonical mean impoffible interfections laft term laſt leaft lefs lineæ locus meet the curve metical multiplied muſt negative occurrat parallel pofitive PROP propofed equation puncto punctum px² quadratic equation quæ quævis quotient recta rectæ refolved refult Rule ſhall ſuppoſe tangents tertii ordinis thefe theſe third order thofe tion touching the curve unknown quantity vaniſh whence whoſe
Populære avsnitt
Side 88 - 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 431 - APM, cut a geometrical line of any order in as many points as it has dimensions, the product of the segments of the first terminated by P and the curve, will always be to the product of the segments of the latter, terminated by the same point and the curve, in an invariable ratio.
Side 426 - And by iimilar equations geometrical lines of fuperior orders are defined. § 2. A geometrical line may meet a right line in as many points as there are units in the number which denotes the order of the equation or line, and never in more. The number of times that any curve will meet its...
Side 43 - The general Theorem vhich we gave for the Involution of binomials will' ferve alfo for their Evolution ;" becaufe to extract any root of a given quantity is the fame thing as to raife that quantity to a power whofe exponent is a fraction that has...
Side 61 - 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.