 | P. Austin Nuttall - 1869 - 356 σελίδες
...he found. — In mathematics, the equality of ratios ; four numhers or quantities heing said to he in proportion when the ratio of the first to the second is the same as that of the third to the fourth, as z, 6, 3, 9, in which the equal ratios of a to 6 and... | |
 | Richard Wormell - 1870 - 304 σελίδες
...trouble ourselves to inquire what this unit is. Four lines are in proportion, or are proportionals, when the ratio of the first to the second is equal to the ratio of the third and fourth. Very simple geometrical constructions enable us, as we shall see, to draw four straight... | |
 | James Hamblin Smith - 1870 - 478 σελίδες
...the other product must form the means. 358. Three .quantities are said to be in CONTINUED PBOPOKTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, 6, c are in continued proportion if a : b=b :c. Four quantities are said... | |
 | Emerson Elbridge White - 1870 - 350 σελίδες
...Proportionals, and the last is the fourth proportional to the other three in their order. 367. Three numbers are in proportion when the ratio of the first to the second equals the ratio of the second to the third ; as, 8 : 12 : : 12 : 18. The second number is called a... | |
 | Elias Loomis - 1871 - 302 σελίδες
...consequent ; if equal, equal ; and if less, less. Def. 3. Three quantities are said to be proportional, whey the ratio of the first to the second is equal to the ratio of th<i second to the third ; thus, if A, B, and C are in proportion then A : B : : B : C. In this case... | |
 | William Frothingham Bradbury - 1872 - 124 σελίδες
...to b is - : -, that is, 1 1 & . - -}- T = -, or o : a. aba 4, Proportion is an equality of ratios. Four quantities are in proportion when the ratio of...is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=), or by four dots (: :). Thus, a... | |
 | William Frothingham Bradbury - 1872 - 262 σελίδες
...-, that is, bab 115, --*-T=jOro:«. aba 1, Proportion is an equality of ratios. Four quantities arc in proportion when the ratio of the first to the second...is equal to the ratio of the third to the fourth. 2 The equality of two ratios is indicated by the sign of equality (=), or by four dots (: :). Thus,... | |
 | James Hamblin Smith - 1872 - 454 σελίδες
...factors of the other product must form the means. 358. Three quantities are said to be in CONTINUED PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, b, с are in continued proportion if a : 6=6 :e. The quantity 6 is called... | |
 | Francis Young (F.R.G.S.) - 1872 - 204 σελίδες
...composing them are said to be in proportion. In other words, " Four quantities or numbers are said to be in proportion when the ratio of the first to the second, is the same a« the ratio of the third to the fourth." Thus, the ratios of 8 to 1o, and 24 to 48, being... | |
 | William Frothingham Bradbury - 1873 - 288 σελίδες
...to 6 is - : -, that is, li6, - •+- т = -, or b : a. aba' 4. Proportion is an equality of ratios. Four quantities are in proportion when the ratio of...is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=), or by four dots (: :). Thus, a... | |
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Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. 
