A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which is Added, the Geometrical Construction of a Great Number of Linear and Plane Problems ...M. Carey & sons, 1821 - 408 sider |
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Resultat 1-5 av 68
Side 2
... examples ) is always un- derstood to have the sign + before it ; so that a signifies the same as a ; and a + b , the same as + a + b . The sign , signifies that the quantity which it precedes is to be subtracted . Thus ab shows that the ...
... examples ) is always un- derstood to have the sign + before it ; so that a signifies the same as a ; and a + b , the same as + a + b . The sign , signifies that the quantity which it precedes is to be subtracted . Thus ab shows that the ...
Side 7
... examples wherein the several forms of notation hitherto explained are promiscuously concern- ed , and where the signification of each is expressed in numbers . Suppose a 6 , b 5 and c = 4 ; then will a2 + 3ab - c2 = 36 + 90 — 16 = 110 ...
... examples wherein the several forms of notation hitherto explained are promiscuously concern- ed , and where the signification of each is expressed in numbers . Suppose a 6 , b 5 and c = 4 ; then will a2 + 3ab - c2 = 36 + 90 — 16 = 110 ...
Side 8
... example ( where 3a is to be added to 5a ) it is plain , that three times any quantity whatever , added to five times the same quantity , must make eight times that quantity : therefore sa , or three times the quantity denoted by a ...
... example ( where 3a is to be added to 5a ) it is plain , that three times any quantity whatever , added to five times the same quantity , must make eight times that quantity : therefore sa , or three times the quantity denoted by a ...
Side 9
... Examples of this Rule may be as follow . Sum 12a 5b - 3a + 2b 9a - 3b 6ab + 12bc 8cd 7ab 9bc + 3cd 2ab ― Sum - 3ab 5 ... example , is likewise obvious . But as to the third ( where the given quantities are 5a - 7b and 7a - 3b ) we are to ...
... Examples of this Rule may be as follow . Sum 12a 5b - 3a + 2b 9a - 3b 6ab + 12bc 8cd 7ab 9bc + 3cd 2ab ― Sum - 3ab 5 ... example , is likewise obvious . But as to the third ( where the given quantities are 5a - 7b and 7a - 3b ) we are to ...
Side 10
... example , and all others , where fractional and radical quantities are concerned , every such quan- tity , exclusive of its coefficient , is to be treated in all respects like a simple quantity expressed by a single letter . 3 ° . When ...
... example , and all others , where fractional and radical quantities are concerned , every such quan- tity , exclusive of its coefficient , is to be treated in all respects like a simple quantity expressed by a single letter . 3 ° . When ...
Vanlige uttrykk og setninger
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Populære avsnitt
Side 241 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Side 53 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Side 64 - ... then, by adding, or subtracting, the two equations thus obtained, as the case may require, there will arise a new equation, with only one unknown quantity in it, which may be resolved as before.
Side 251 - ... the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base.
Side 87 - A composition of copper and tin containing 100 cubic inches weighed 505 ounces. How many ounces of each metal did it contain, supposing a cubic inch of copper to weigh of ounces, and a cubic inch of tin to weigh 4т ounces ? Ans. 420 of copper, and
Side 88 - ... half of what he had left, and half a sheep over ; and, soon after this, a third party met him, and used him in the same manner, and then he had only five sheep left. It is required to find what number of sheep he had at first, Ans, 47 sheep.
Side 254 - The following particular directions, however, may be of some use. 1st, In preparing the figure, by drawing lines, let them be either parallel or perpendicular to other lines in the figure, or so as to form similar triangles. And if an angle be given, it will be proper to let the perpendicular be opposite to that angle, and to fall from one end of a given line, if possible.