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 37
Side 6
... coefficients ; and that quantity which stands without a coefficient is always understood to have an unit prefixed , or to be taken once , and no more . Those quantities are said to be like that are expressed by the same letters under ...
... coefficients ; and that quantity which stands without a coefficient is always understood to have an unit prefixed , or to be taken once , and no more . Those quantities are said to be like that are expressed by the same letters under ...
Side 8
... coefficients of those terms together , and to their sum adjoin the letters common to each term , prefixing the common sign . And 5a + 7b Also 5a - 7b added to 7a + 3b added to 7a - 3b makes 12a - 106 . - 3d Thus added to sa 5a makes 8a ...
... coefficients of those terms together , and to their sum adjoin the letters common to each term , prefixing the common sign . And 5a + 7b Also 5a - 7b added to 7a + 3b added to 7a - 3b makes 12a - 106 . - 3d Thus added to sa 5a makes 8a ...
Side 9
... coefficient of the lesser from that of the greater , and adjoining the letters common to each ; to which difference prefix the sign of the greater . 1 . 3 . Examples of this Rule may be as follow . Sum 12a 5b - 3a + 2b 9a - 3b 6ab + ...
... coefficient of the lesser from that of the greater , and adjoining the letters common to each ; to which difference prefix the sign of the greater . 1 . 3 . Examples of this Rule may be as follow . Sum 12a 5b - 3a + 2b 9a - 3b 6ab + ...
Side 10
... coefficient , is to be treated in all respects like a simple quantity expressed by a single letter . 3 ° . When in the quantities to be added , there are terms without others like to them , write them down with their proper signs . Thus ...
... coefficient , is to be treated in all respects like a simple quantity expressed by a single letter . 3 ° . When in the quantities to be added , there are terms without others like to them , write them down with their proper signs . Thus ...
Side 11
... coefficients 3 and 5 are to be added together , by case 1 of addition . The same thing happens in the third example ; since the sign of 3b , when changed , is , and therefore the same with that of 5b . But , in the fourth example , the ...
... coefficients 3 and 5 are to be added together , by case 1 of addition . The same thing happens in the third example ; since the sign of 3b , when changed , is , and therefore the same with that of 5b . But , in the fourth example , the ...
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.