 | 1799 - 616 pages
...proportionality was something independent of definition. Others again, deiining numbers to be proportional, when the quotient of the first divided by the second is equal to the quotient of the third divided by the fourth, have endeavoured to obviate the necessity for Euclid's,... | |
 | Ralph Griffiths, George Edward Griffiths - 1799 - 648 pages
...propornonality was something independent of definition. Others agnin, defining numbers to be proportional, when the quotient of the first divided by the second is equal to the quotient of the third diiidcd by the fourth, have endeavoured to 'obviate the necessity for Euclid's,... | |
 | Jeremiah Day - Logarithms - 1815 - 172 pages
...to begin by subtracting the first term from one of the others. If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) aca 6 Thus if a:b::c:d, then -IT=-T, and—... | |
 | Jeremiah Day - Measurement - 1815 - 388 pages
...to begin by subtracting the first term from one of the others. If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) acab Thus if a: b::c:d, theny =-7,and... | |
 | Bewick Bridge - Algebra - 1818 - 254 pages
...by the fraction — , it follows thatT = —, or, "that when dud " four quantities are proportional, the quotient of the first " divided by the second, is equal to the quotient of the third " divided by the fourth ;" and vice versa, if " there be four " quantities... | |
 | Bewick Bridge - Algebra - 1821 - 648 pages
...c : d by the fraction 1 it follows that |=?, or, "that when •' four quantities are proportional, the quotient of the first " divided by the second, is equal to the quotient of the third « divided by the fourth ;" and vice versa, if " there be four « quantities... | |
 | Jeremiah Day - Geometry - 1824 - 440 pages
...to begin by subtracting the first term from one of the others. If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) Thus if a : b::c ', d, then ^=^, and"... | |
 | Bézout - Arithmetic - 1825 - 258 pages
...to sav, ^ = '5' ; therefore, the four numbers 12, 3, 16, 4, are in geometrical proportion, because the quotient of the first divided by the second is equal to the quotient of the third by the fourth. The reasoning would be the same for any other numbers. "Four... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...f с : d by the fraction n, it follows that f= -5» that is, when four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth; and rice versa, if there be four quantities o, b,... | |
 | Jeremiah Day - Measurement - 1831 - 520 pages
...to begin by subtracting the first term from one of the others. If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) acab Thus if a : b: :c : d, then T= .,... | |
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If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) Thus, if a : b : : c : d, then |=|, and"=^. 
