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 LinesA. Millar and J. Nourse, 1756 - 432 páginas |
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... greatest excellence ; the import of those fymbols is to be clearly stated , that no obfcurity or error may arife from the frequent ufe and complication of them . § 2. In GEOMETRY , lines are represented by a line , triangles by a ...
... greatest excellence ; the import of those fymbols is to be clearly stated , that no obfcurity or error may arife from the frequent ufe and complication of them . § 2. In GEOMETRY , lines are represented by a line , triangles by a ...
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... greatest excellence ; the import of those symbols is to be clearly stated , that no obfcurity or error may arife from the frequent ufe and complication of them . § 2. In GEOMETRY , lines are represented by a line , triangles by a ...
... greatest excellence ; the import of those symbols is to be clearly stated , that no obfcurity or error may arife from the frequent ufe and complication of them . § 2. In GEOMETRY , lines are represented by a line , triangles by a ...
Página 29
... greatest common Measure of two numbers ; that is , the greatest number that can divide them both without a remainder . 1 Rule . First divide the greater number by the leffer , and if there is no remainder the leffer number is the ...
... greatest common Measure of two numbers ; that is , the greatest number that can divide them both without a remainder . 1 Rule . First divide the greater number by the leffer , and if there is no remainder the leffer number is the ...
Página 29
... greatest common Measure of two numbers ; that is , the greatest number that can divide them both without a remainder . Rule . First divide the greater number by the leffer , and if there is no remainder the leffer number is the greatest ...
... greatest common Measure of two numbers ; that is , the greatest number that can divide them both without a remainder . Rule . First divide the greater number by the leffer , and if there is no remainder the leffer number is the greatest ...
Página 30
... greatest common Measure required . Thus the greatest common measure of 45 and 63 is 9 ; and the greatest common measure of 256 and 48 is 16 . 45 ) 63 ( 1 45 --- 18 ) 45 ( 2 36 9 ) 18 ( 2 18 48 ) 256 ( 5 240 16 ) 48 ( 3 48 $ 32 . Much ...
... greatest common Measure required . Thus the greatest common measure of 45 and 63 is 9 ; and the greatest common measure of 256 and 48 is 16 . 45 ) 63 ( 1 45 --- 18 ) 45 ( 2 36 9 ) 18 ( 2 18 48 ) 256 ( 5 240 16 ) 48 ( 3 48 $ 32 . Much ...
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Página 74 - 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.
Página 55 - 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.
Página 107 - ... -{-24, equal to nothing, according to the propofed equation. And it is certain that there can be no other values of x...
Página 367 - 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...
Página 193 - 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...
Página 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.