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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 ## Elementary Algebra

George Albert Wentworth - 1906 - 421 σελίδες
...it appears that the fourth terra has one value and but one value. 380. 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, divide by bd, g = £, а с b = d .-. a : 6 = с : d. 381. If four numbers, a, b, c, d, are in... ## Plane and Solid Geometry

Isaac Newton Failor - 1906 - 418 σελίδες
...third proportional to 2 and 6. 574 Find the third proportional to m and n. PROPOSITION in. THEOREM 330 If the product of two quantities is equal to the product...of two others, either two may be made the extremes and the other two the means of a proportion. HYPOTHESIS. ad=bc. CONCLUSION. a:b = c:d. PROOF ad = be.... ## PLANE AND SOLID GEOMETRY

ISAAC NEWTON FAILOR - 1906
...third proportional to 2 and 6. 574 Find the third proportional to m and n. PROPOSITION m. THEOREM 330 If the product of two quantities is equal to the product...of two others, either two may be made the extremes and the other two the means of a proportion. HYPOTHESIS. ad = be. CONCLUSION, a:b=c:d. PROOF ad = be.... ## Plane Geometry

Edward Rutledge Robbins - 1906 - 254 σελίδες
...— (Hyp.). Multiply by the common denomiby nator, by and obtain, ay = bx (Ax. 3). QED 291. THEOREM. If the product of two quantities is equal to the product of two others, one pair may be made the extremes of a proportion and the other pair the means. Given : ay = bx. To... ## Plane and Solid Geometry

Edward Rutledge Robbins - 1907 - 412 σελίδες
...(Hyp.). Multiply by the common denomi. by nator, by and obtain, ay = bx (Ax. 3). QED 291. THEOREM. If the product of two quantities is equal to the product of two others, one pair may be made the extremes of a proportion and the other pair the means. Given : ay = bx. To... ## Wentworth's Plane Geometry

David Eugene Smith - 1910 - 287 σελίδες
...If the two antecedents of a proportion are equal, the two consequents are equal. 264. COROLLARY 3. 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. For if ad = be, then, by dividing by bd, - = -, by Ax. 4.... ## Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 263 σελίδες
...when x : 8 = 3 : 24. Ex. 234. Find the value of x when 11 : 44 = 15 : x. PROPOSITION II. THEOREM. 328. If the product of two quantities is equal to the product of two others, either pair may be made the means and the other pair the extremes of a proportion. Given ad = be. To prove... ## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 470 σελίδες
...If the two antecedents of a proportion are equal, the two consequents are equal. 264. COROLLARY 3. 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. For if ad = be. then, by dividing by bd, - = -, by Ax. 4.... ## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 470 σελίδες
...If the two antecedents of a proportion are equal, the two consequents are equal. 264. COROLLARY 3. 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. For if ad = be, then, by dividing by bd, - = -, by Ax. 4.... ## Durell's Algebra: Two Book Course. Book One

Fletcher Durell - 1914 - 393 σελίδες
...may be combined in the form x : у : z = a : b : c. 229. Equal Products made into a Proportion. // 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....