Elements of Algebra: To which is Prefixed, a Choice Collection of Arithmetical Questions, with Their Solutions, Including Some New Improvements Worthy the Attention of Arithmeticians. The Principles of Algebra are Clearly Demonstrated, and Applied in the Resolution of a Great Variety of Problems on Different Parts of the Mathematicks and Natural Philosophy
G. G. J. and J. Robinson, 1788 - 328 páginas
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Acres alſo Anſwer ariſe aſſumed becauſe Biquadratic C A S E Caſe Cent Co-efficient completing the Square conſequently Cube Cubic Cubic Equation decreaſes Denominator denotes Diſtance divided Dividend Diviſion Diviſor E X A M P L E Equa equal Exponent expreſſed extracting firſt Equation firſt Term Fraćtion given Equation gives greateſt hence Inches increaſing Intereſt Iool laſt Term leaſt leſs likewiſe meaſure Miles multiplied muſt negative Number obſerve P R O B L E M poſitive Power Produćt Progreſſion propoſed Q_U E S T I O N Queſtion Quotient R U L raiſe Remainder repreſented reſpectively ſame Manner ſecond Equation ſecond Term ſee ſell ſhall ſhews ſignifies ſimple ſince ſold ſolved ſome ſquare Square Root ſtand ſubſtituted ſubtracted ſuch Suppoſe Surd theſe thoſe tion unknown Quantity uſed whence whoſe writing Yards
Página 8 - If the sun moves every day one degree, and the moon thirteen degrees, and at a certain time the sun be at the beginning of Cancer, and in...
Página 23 - The workmen thought that substituting part silver was only a proper perquisite ; which taking air, Archimedes was appointed to examine it ; who on putting it into a vessel of water, found it raised the fluid 8-2245 cubic inches : and having discovered that the inch of gold more critically weighed 10-36 ounces, and that of silver but 5-85 ounces, he found by calculation what part of the king's gold had been changed. And you are desired to repeat the process. Ans.
Página 83 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 25 - ... in 9 weeks, how many oxen will eat 24 acres in 18 weeks, the grass being at first equal on every acre, and growing uniformly ? This example is taken from Newton's Universal Arithmetic.
Página 115 - RULE. 1. Observe which of all your unknown Quantities is the least involved, and let the Value of that Quantity be found in each Equation by the Rules already given), looking upon all the Rest as known : let the Values thus found be put equal to each other (for they are equal...
Página 23 - Vespasian weighed,, suppose 10OOOOlb. and was moved, let us admit, with such a Velocity, by Strength of Hands, as to pass through 20 Feet in one Second of Time ; and this was found suffic:ent to demolish the Walls of Jerusalem.
Página 181 - The coefficient of the third term is the fum of all the products that can be made by multiplying any two of the roots together. The coefficient of the fourth term is the fum of all the products which can be made by multiplying together any three of the roots with their figns changed ; and fo of others.
Página 80 - Jhall give the numerator of the quotient. Then multiply the denominator of the dividend by the numerator of the divifor, and their produft Jhall give the denominator.
Página 183 - and there are three changes ^ from the firft to the fécond, from the third to the fourth, and from the fourth to the fifth term : therefore there are three affirmative roots.