 | Edward Olney - Algebra - 1878 - 516 pages
...Thus if a : 6 :: b '. c '. '. c '. d '. '. d '. e, we have a continued proportion. 65. Prop. 1. In a proportion the product of the extremes equals the product of the means. DEM. — If a : 6 : : c : d then ad = be. For a : 6 : : c : d is the same as =- = -?i which cleared... | |
 | Teacher - Teaching - 1879 - 582 pages
...been stated, to test your statement before working by some simple consideration from common sense. In any proportion the product of the extremes equals the product of the means. Does the common sense of the question require that the means should be multiplied together ? Ex. If... | |
 | Manuals - 1879 - 92 pages
...been stated, to test your statement before working by some simple consideration from common sense. In any proportion the product of the extremes equals the product of the means. Does the common sense of the question require that the means should be multiplied together ? Ex. If... | |
 | James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...two or а с т 364. A Compound Proportion is one in which there is a compound ratio. THEOREM I. 365. In any proportion, the product of the extremes equals the product of the means. DEMONSTRATION. — Let a : b = с : d, а с Or b = f Clearing of fractions, ad — be. COR. i. —... | |
 | Edward Olney - Algebra - 1880 - 354 pages
...ratio. Thus if a : b : : Ъ : с : : с : d : : d : e, we have a continued proportion. 61. Prop. 1. — In any proportion the product of the extremes equals the product of the means. DEM. — If a : Ъ ; : с : d then ad = be. For a : b : : с : d is the same а.в г =-, which li... | |
 | Edward Olney - Algebra - 1881 - 506 pages
...Thus, if a : b : : b : c : : c : d : : d : e. we have a continued proportion. 65. Prop. 1. — In a proportion the product of the extremes equals the product of the means. Demonstration.— If a : J> : : c : d then ad = fe. For a:b::c:d is the same as ; = -; , which cleared... | |
 | Edward Olney - Algebra - 1882 - 358 pages
...ratio. Thus if a : b : : b : с : : с : d : : d : e, we have a continued proportion. 61. Prop. 1. — In any proportion the product of the extremes equals the product of the means. DEM. — If a :b : : с : d then ad = be. For a : b : : с : d is the same as r — -, which od cleared... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...expression a : 6 :: c : <I means simply^- = -^, and conversely. THEOREM 1. If four quantities are in proportion, the product of the extremes equals the product of the means. Let a : b :: c : d; then will a x d = b x c. For (1) T — T by definition; and clearing of fractions,... | |
 | Emerson Elbridge White - Arithmetic - 1884 - 144 pages
...= ff ; if -^ = ff, 21X12 = звх7 and hence 21 X 12 = 36 X 7. In like manner it may be shown that in any proportion the product of the extremes equals the product of the means. 2. For convenience, the missing term in each of the proportions in problems 11 to 36 inclusive may... | |
 | David Martin Sensenig - Algebra - 1889 - 388 pages
...proportion. When the word " proportion " is used alone, it designates a simple proportion. Propositions. I. In any proportion, the product of the extremes equals the product of the means. Given a : b : : с : d : (A) Prove a X d = b X с Demonstration : Т = Т [another form for (A)], Clear... | |
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In any proportion, the product of the extremes equals the product of the means. 
