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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 ## The Elements of Geometry

Webster Wells - 1886 - 371 σελίδες
...be a : b = b : c. Then by §242, 62=ac. Whence, b = Vac. PROPOSITION II. THEOREM. 244. CONVERSELY, 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 = be. Dividing... ## CHAUVENETS TREATISE ON ELEMENTARY GEOMETRY

W. E. BYERLY - 1887
...numbers is equal to the square root of their product. 6, Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if we have given ah 9 = a\ then, dividing by bb... ## A College Algebra

George Albert Wentworth - 1888 - 494 σελίδες
...the above that the fourth term can have one, and but one, value. 191. If the product of two numbers is equal to the product of two others, either two...proportion and the other two the means. For, if ad = be, then, dividing by bd, a- = —, bd bd H.'. a : b = С : d. 192. Transformations of a Proportion.... ## A Text-book of Geometry

George Albert Wentworth - 1888 - 239 σελίδες
...the product of the means). Whence, extracting the square root, 6.= Vac. QED PROPOSITION III. 297. // 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. Let ad = be. To prove a:b = c:d. Divide both members of... ## A Text-book of Geometry

George Albert Wentworth - 1888 - 386 σελίδες
...b = -Vac. a E . D . PROPOSITION III. 297. If the product of two quantities is equal to the jiroduct of two others, either two may be made the extremes of a proportion in which the other two are made the means. Let ad— be. To prove a:b = c:d. Divide both members of... ## Sheldons' Complete Algebra: Part I Being Sheldon's Elements of ..., Μέρη 1-2

1888 - 479 σελίδες
..., bc . ad ad From this equation, a = -=• , d =. — , о = — , с ==-=-• aa с b 368. IV. // the product of two quantities is equal to the product of two others, the factors of either product ni.ay be made the extremes, and the factors of the other product the... ## New Practical Algebra

James Bates Thomson - 1888
...Art. 363, J = £ Clearing of fractions, ae = JV Again, 9 : 6 : : 6:4, and 4x9 = 6*. THEOREM Ш. [f (he product of two quantities is equal to the product of two others, the four quantities arc proportional ; the factors of either product being taken for ¿he extremes,... ## University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 320 σελίδες
...Conversely, if we divide both members of ( 2 ) by ca, we shall have, - . = - ; or, a : b : : c : d. Hence, ac If the product of two quantities is equal to the product, of two other quantities, the first two may be made the means, and the second two the extremes, of a proportion.... ## College Algebra

Webster Wells - 1890 - 577 σελίδες
...mean is equal to the product of the extremes divided by the other mean. 384. (Converse of Art. 381.) 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 = be. Dividing... ## A Higher Algebra

George Albert Wentworth - 1891 - 521 σελίδες
...the above that the fourth term can have one, and but one, value. 280. If the product of two numbers is equal to the product of two others, either two...and the other two the means. For, if ad = bc, then, dividing by bd, ad_ be bd-bd' iz л a : b = с : d. 281. Transformations of a Proportion. If four numbers,...