. An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth. PROPORTION. 935. Definitions. — L The ratio of one quantity to another is the number of times whichthe first contains the second ; thus the ratio of 12 to 3 is four, because 12 contains3 four times; or, more universally, ratio is the comparative magnitude of one quan-tity with respect to another. 2. Four quantities are proportional, or in geometrical proportion, or two quantities are saidto have the same ratio with two others, when the first contain
. An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth. PROPORTION. 935. Definitions. — L The ratio of one quantity to another is the number of times whichthe first contains the second ; thus the ratio of 12 to 3 is four, because 12 contains3 four times; or, more universally, ratio is the comparative magnitude of one quan-tity with respect to another. 2. Four quantities are proportional, or in geometrical proportion, or two quantities are saidto have the same ratio with two others, when the first contains or is contained in thesecond, exactly the same number of times which the third contains or is contained inthe fourth ; thus, the four numbers 6, 3, 8, 4 are proportionals, because 6 contains 3 asm;;ny times as 8 contains 4, and 3 is contained in 6 as many times as 4 is contained in8, that is, twice; which is thus expressed : 6 is to 3 as 8 to 4 ; or 3 is to 6 as 4 to 8. 936. Prop. LVIII ParuUelograms which are between the same parallels are to out in-other as their liases. 278 THEORY OF ARCIllTECTUllE. Book IJ.
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