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 Βιβλία Βιβλία If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = bc, then, divide by bd. т~, - г~;« bd bd а с 01 6 = 5 New School Algebra - Σελίδα 310
των G.A. Wentworth - 1901
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Syllabus of Geometry

George Albert Wentworth - 1896 - 50 σελίδες
...296. A mean proportional between two quantities is equal to the square root of their product. 297. If the product of two quantities is equal to the product...either two may be made the extremes of a proportion in which the other two are made the means. 298. If four quantities of the same kind are in proportion,... ## Shorter Course in Algebra

George Albert Wentworth - 1896 - 282 σελίδες
...a:b::c:d, Î-Î By multiplying by bd, ad = be. 287. If the product of two numbers be equal to the prorfwt of two others, either two may be made the extremes...proportion, and the other two the means. For, if ad = be, by dividing by bd, ^=*£, bd bd И 288, The equation ad = bс gives be , ad so that an extreme... ## Plane Geometry

George D. Pettee - 1896 - 253 σελίδες
...equations, such as squaring the equation, are applicable to proportions. PROPOSITION II 188. Theorem. //' the product of two quantities is equal to the product of two others, the factors of either product may be made the extremes, and the factors of the other product the means... ## Essentials of Algebra for Secondary Schools

Webster Wells - 1897 - 411 σελίδες
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of § 306.) If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = bс. Dividing... ## Essentials of Algebra for Secondary Schools

Webster Wells - 1897 - 411 σελίδες
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of § 306.) If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос. Dividing... ## Essentials of Algebra

Webster Wells - 1897 - 358 σελίδες
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of § 306.) If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = bс. Dividing... ## A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - 1897 - 436 σελίδες
...Then ma :mb = nc: nd, And ma : pb = me : pd. 290. Equal Products made into a Proportion ; that is, if the product of two quantities is equal to the product of two other quantities, either two may be made the means, and the other two the extremes of a proportion.... ## New School Algebra

George Albert Wentworth - 1898 - 407 σελίδες
...the two numbers that represent them when the quantities are expressed in a common unit. 338. If tbс product of two quantities is equal to the product...proportion and the other two the means. For, if ad = be, then, divide by bd, — = — i н с or - = -r bd .'. a : b = с : d. 339. Transformations of... ## New School Algebra

George Albert Wentworth - 1898
...quantities are expressed in a common unit. 338. If the product of two quantities is equal to the prodvet of two others, either two may be made the extremes...proportion and the other two the means. For. if ad = be, then, divide by bd, — = — > bd bd ac or - = -• .'. a : b = e : d. 339. Transformations... ## New School Algebra

George Albert Wentworth - 1898 - 407 σελίδες
...product of the two numbers that represent them when the quantities are expressed in a common unit. 338. If the product of two quantities is equal to the product of two others, either two may be made th6 extremes of a proportion and the other two the means. For, if ad = be, , . . , ' . . ad bc then'...