 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.  School Algebra - Page 210by George Albert Wentworth - 1913Full view - About this book
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...numbers, the product of the means equals the product of the extremes. PROPOSITION II. THEOREM. 203. If the product of two numbers equals the product of two other numbers, the factors of one product may be made the means, and the factors of the other product the extremes,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...rectangle 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 of two lines equals the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...rectangle 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 of two lines equals the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...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 of two lines equals the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...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 of two lines equals the rectangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...= be, then a : b = c : d. Proof. Divide the given equals by bd. Hence If the product of two numhers 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 of two lines equals the rectangle... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...Find the value ofx\fa:m = x:n. PROPOSITION II. THEOREM 265. If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion. Hyp. mn = pq. To prove m:p = q:n. Proof. mn = pq. Dividing... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...value of x if a : m = x : n. PROPOSITION II: THEOREM 265. If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion. Hyp. mn = pq. To prove m:p = q:n. Proof. mn = pq. Dividing... | |
 | Arthur Schultze - 1901 - 260 pages
...value of z if a : TO = x : n. PROPOSITION II. THEOREM 265. If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion. Hyp. mn = pq. To prove m:p = q:n. Proof. mn =pq. Dividing... | |
 | John Marvin Colaw - Algebra - 1903 - 444 pages
...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, ad = be. (1) Dividing by bd,... | |
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