 | Joseph Ray - 1880 - 420 σελίδες
...OPERATIONS. 4096= = 3600 + 480 + 16. The operations illustrate the following principle : PRINCIPLE. — The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus : Show by involution,... | |
 | Joseph Ray - 1880 - 420 σελίδες
...602+60X4 4096= = 3600 + 480+16. The operations illustrate the following principle : PRINCIPLE. — The square of the sum of two numbers is equal to the square of Hie first, plus twice the product of the first by the second, plus tiie square of the second. Thus... | |
 | James Thomson - 1880 - 408 σελίδες
...accuracy necessary in the result may require. The principle on which the preceding rule depends, is, that the square of the sum of two numbers is equal to the sum of the squares of the numbers added to twice their product. Thus, 34 being = 30 + 4, its square... | |
 | George Albert Wentworth - 1881 - 406 σελίδες
...three which follow are of great importance: From (1) we have (a + bf = a? + 2ab + b2. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a — 6)2 = a' — 2 ab + 62. That is,... | |
 | Homersham Cox (the younger) - 1885 - 248 σελίδες
...added units. We shall soon require the following important theorem relating to the squares of numbers. The square of the sum of two numbers is equal to the sum of the squares of the number together with twice the product of the numbers. For instance 1 1 is... | |
 | George Albert Wentworth - 1886 - 284 σελίδες
...follow are of great importance : Ь' à2 - Ь2 From (1) we have (a + ¿)2 = a2 + 2ab + V. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a - ¿)2 = a2 — 2 ab + b\ That is,... | |
 | Edward Albert Bowser - 1888 - 868 σελίδες
...a + 6 we get (« + 6) (a + 6) = «2 + 2a6 + 62 ; that is (a + 6)2 = a2 + 2«6 + 62. . . . (1) Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice their product. Similarly, if we multiply a... | |
 | William Frothingham Bradbury, Grenville C. Emery - 1889 - 428 σελίδες
...already established we are prepared to demonstrate the following important theorems. THEOREM I. 85. The square of the sum of two numbers is equal to the square of the first, plus twice the product of tlie two, plus the square of tlie second. PROOF. Let a and b represent any... | |
 | Webster Wells - 1890 - 604 σελίδες
...(Art. 8), (a + by = a2 + 2ab + b2. (1) This formula is the symbolical statement of the following rule : The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. In the second case,... | |
 | Edward Albert Bowser - 1890 - 418 σελίδες
...triangle having AB = AC, and if D be taken in AC so that BD = BC, prove that the square on BC = AC X CD. * The square of the sum of two numbers is equal to the sum of the squares <jf the two numbers increased by twice their product. Proposition 28. Theorem. 333.... | |
| |
That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. 
