 If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.  Elementary Algebra - Σελίδα 230των George William Myers, George Edward Atwood - 1916 - 338 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 σελίδες
...of the extremes. II. If ad = bc, then a : b = c : d. Proof. Divide the given equals by bd. Hence, If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion. Ax. 7 If the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...of the extremes. II. If ad = be, then a : b = c : d. Proof. Divide the given equals by bd. Hence, If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion. Ax. 7 If the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 σελίδες
...PROPOSITION II. 230. Theorem. If ad = be, then a : b = c : d. Proof. Divide the given equals by bd. Hence If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion. Ax. 7 If the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 412 σελίδες
...PROPOSITION II. 230. Theorem. If ad = be, then a : b = c : d. Proof. Divide the given equals by bd. Hence If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion. Ax. 7 If the rectangle... | |
 | George Edward Atwood - 1900 - 276 σελίδες
...= bc bo * bc , ad ad a = — a = — b = — c = — 428. If the product of two numbers is equal to the product of two other numbers, the factors of either product may be made the extremes, and the factors of the other product the means, of a proportion. 1. 2. 3. 4. ad = bc ad =... | |
 | John Marvin Colaw - 1903 - 444 σελίδες
...the product of the extremes by the other mean. Have the student give numerical illustrations. 406. If the product of two numbers equals the product of two other numbers, either two may be made the extremes, and the other two the means of a proportion. For, by Art. 405,... | |
 | John Henry Tanner - 1904 - 398 σελίδες
...numbers equals the product of two others, then these four numbers form a proportion of which the two factors of either product may be made the means, and those of the other product the extremes.* For, if ad = bc, then ?=~, [Dividing by bd ie, a:b = c:d. In the same way it may be shown that, if... | |
 | John Henry Tanner - 1904 - 398 σελίδες
...product of two ottiers, then tîiese four numbers form a proportion of which tlie two factors of eitJier product may be made the means, and those of the other product the extremes* For, if ad = be, then -=-, [Dividing by bd bd ie, a:b = c:d. In the same way it may be shown that,... | |
 | Robert Judson Aley, David Andrew Rothrock - 1904 - 344 σελίδες
...corollary results from the above theorem by letting (7= Д =:' or ¿1> = &, whence B^ MD THEOREM II. If the product of two numbers equals the product of two other numbers, then either pair may be taken as extremes, and the other pair as means, of a proportion. (Inverse of... | |
 | John Charles Stone, James Franklin Millis - 1905 - 776 σελίδες
...т= jMultiplying by bd, ad=bc) wh ich -pro ves the principle. Thus, in 2:4=6:12, 2x12 = 4x6. 196. If the product of two numbers equals the product of two other numbers, then these four numbers form a proportion in which the extremes are the factors of either product and... | |
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