 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
 | Willis Eugene Tower, Charles Henry Smith, Charles Mark Turton - Physics - 1914 - 484 pages
...force times the distance the force acts equals the weight times the distance the weight is moved. When the product of two numbers equals the product of two other numbers either product may be made the means and the other the extremes of a proportion. The equation given... | |
 | Romeyn Henry Rivenburg - Algebra - 1914 - 92 pages
...Theorems i mean, Proportionals { third, [ fourth. 1. Product of means equals product of extremes. 2. If the product of two numbers equals the product of two other numbers, either pair, etc. 3. Alternation. 4. Inversion. 5. Composition. 6. Division. 7. Composition and division.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...i pairs of numbers: (1) 5 and 20, (2) 4 and 100, (3) Zxy and 8xy, (4) a+b and o-6. 402. Theorem. // 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. Given ad=bc. rr> ac... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...proportion by (a) inversion ? (6) composition ? (c) alternation ? 2. Complete the following theorem : " If the product of two numbers equals the product of two other numbers, one pair, ... " 3. Define : (a) mean proportional ; (6) fourth proportional ; (c) similar polygons... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...four numbers are in proportion, the product of the extremes equals the product of the means. (2) If the product of two numbers equals the product of two other numbers, the four numbers are in proportion, one pair of factors being extremes and the other pair means. (3) If... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...product of the means. That is, if - = -, then ad = bo. oa Suggestion. Multiply both members by bd. (2) If the product of two numbers equals the product of two other numbers, the four numbers are in proportion, one pair of factors being extremes and the other pair means. That is,... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...3 ' x from (9) and (10), y 3 x _ 2 x and compare their <e~2' ' y — 3~y' values. 12. Show that if the product of two numbers equals the product of two other numbers, either 'pair may be made the means and the other the extremes of a proportion. Write each of the following... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...proportion by (a) inversion? (6) composition ? (c) alternation ? 2. Complete the following theorem : " If the product of two numbers equals the product of two other numbers, one pair, ••• " 3. Define: (a) mean proportional; (6) fourth proportional; (c) similar polygons... | |
 | Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...numbers involved in the equation 4 • 10 = 5 • 8 ? III. 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 and the factors of the other product the extremes of a proportion. PROOF. Let ad = bс. Dividing both members... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...following pairs of numbers: (1) 5 and 20, (2) 4 and 100, (3) 2xy and 8xy, (4) a+6ando-6. 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. Given ad = bc. ac... | |
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