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 |
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Page 13
... Hour Hand are together : Required the Hour of the Day ? It is well known that the Minute Hand points to 12 at the End of every Hour , confequently it points to 12 at 5 o'clock ; but the Hour Hand goes only of the Cir- cumference in an ...
... Hour Hand are together : Required the Hour of the Day ? It is well known that the Minute Hand points to 12 at the End of every Hour , confequently it points to 12 at 5 o'clock ; but the Hour Hand goes only of the Cir- cumference in an ...
Page 13
... Hour : : 12 : 1 Hour , or 5 Minutes after one of the Clock , for those two Hands are always together at the Hour 12 . 21. If the Sun moves every Day 1 Degree , and the Moon 13 and at a certain Time the Sun be at the beginning of Cancer ...
... Hour : : 12 : 1 Hour , or 5 Minutes after one of the Clock , for those two Hands are always together at the Hour 12 . 21. If the Sun moves every Day 1 Degree , and the Moon 13 and at a certain Time the Sun be at the beginning of Cancer ...
Page 13
... Hours ; how far will it move in 1 Hour ? State it thus , as 24 Hours : 25020M . :: 1H :: 10424M . the Answer , But Bencoolen , according to fome Authors , is fituated in 4 ° South Latitude , however , the above Solution gives the ...
... Hours ; how far will it move in 1 Hour ? State it thus , as 24 Hours : 25020M . :: 1H :: 10424M . the Answer , But Bencoolen , according to fome Authors , is fituated in 4 ° South Latitude , however , the above Solution gives the ...
Page 13
... Hours ( or 120 Minutes :) The Ratio of the Spaces defcribed by thefe 2 Bodies is required ? Here by the Question A was in Motion only 1 Minute , and A moved as far in one Minute as B did in 40 ; but B was three Times 40 , or 120 Minutes ...
... Hours ( or 120 Minutes :) The Ratio of the Spaces defcribed by thefe 2 Bodies is required ? Here by the Question A was in Motion only 1 Minute , and A moved as far in one Minute as B did in 40 ; but B was three Times 40 , or 120 Minutes ...
Page 13
... Hour and 20 Minutes , returning with an uniform Stroke , having then the Advantage of an equal Wind , he skaited back the fame Distance in 32 Minutes : Required the Force of the Wind . First , find how far he fkaited both with and ...
... Hour and 20 Minutes , returning with an uniform Stroke , having then the Advantage of an equal Wind , he skaited back the fame Distance in 32 Minutes : Required the Force of the Wind . First , find how far he fkaited both with and ...
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Elements of Algebra: To Which Is Prefixed, a Choice Collection of ... John Mole No preview available - 2016 |
Common terms and phrases
Acres added affumed alfo Algebraic Quantities Anſwer arifing becauſe Biquadratic Cafe Cent Co-efficient completing the Square confequently Cube Root Cubic Cubic Equation Denominator denotes Difference Diſtance divided Dividend Divifion Divifor Equa equal EXAMPLE Exponent expreffed fame Manner fecond Equation fecond Term Feet fhall fhews fifth Power fignifies fimple fince firft Equation firft Term firſt folved fome fourth fquare Fraction fubtracted fuch fuppofe given Equation gives hence Inches Increaſe Intereft itſelf laft Term laſt Latitude leaft lefs likewife Logarithm meaſure merator Miles muft multiplied muſt negative nth Root Number fought obferve pofitive Pound Product Progreffion propofed Queſtion Quotient refpectively Remainder repreſented ſhall Sides Square Root Surd thefe theſe third Term thofe thoſe tion Triangle unknown Quantity uſed Value vulgar Fraction Weight whence whofe whole Numbers writing Yards
Popular passages
Page 13 - 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...
Page 21 - 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.
Page 81 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 23 - ... 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.
Page 113 - 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...
Page 21 - 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.
Page 179 - 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.
Page 78 - 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.
Page 181 - 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.
Page 114 - ... for that quantity and its respective powers in the other equation; and with the new equations thus arising repeat the operation, till you have only one unknown quantity and one equation. Thus x being the...