 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 - Page 230by George William Myers, George Edward Atwood - 1916 - 338 pagesFull view - About this book
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...of the means is equal to the product of the extremes. The proof is left to the pupil. THEOREM 91. If the product of two numbers equals the product of two other numbers, either pair of factors may be made the extremes and the other pair the means of a proportion. Hypothesis:... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...to three corresponding terms of another proportion, the fourth terms are equal. § 402. Theorem. 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. § 404. Theorem. If... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...as a function of the other terms of the proportion. 401. If the product of two numbers is equal to the product of two other numbers, the factors of either product may be made the means of a proportion of which the factors of the other are the extremes. How are Exs. 400 and 401 related?... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...Corollary. — If the product of two numbers equals the product of two other numbers, the numbers of one product may be made the means and those of the other product the extremes, of a proportion. Hypothesis. — xy = st. Conclusion.— (1) * = -, (2) X = *-, (3) *-=\ etc. oyiy •& t Help. —... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 238 pages
...are in proportion, the product of the means is equal to the product of the extremes. THEOREM 91. If the product of two numbers equals the product of two other numbers, either pair of factors may be made the extremes and the other pair the means of a proportion. THEOREM... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...ba To prove ad = bc. y"( /• Proof. r = -,• Hypothesis Then ad = bc. Axiom 3 THEOREM XLI 186. // the product of two numbers equals the product of two other numbers, either pair may be used as the means of a proportion in which the other pair are made the extremes.... | |
 | Lewis Parker Siceloff, David Eugene Smith - Algebra - 1924 - 274 pages
...equation by W. This law, which is the converse of the first one, is often expressed as follows : If the product of two numbers equals the product of two other numbers, either two may be made the means of a proportion, and the other two the extremes. „ T , ac , be ,... | |
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