 | John Playfair - Circle-squaring - 1819 - 350 pages
...AC the difference of " the lines AB and BC, four times the rectangle contained by any two •' lines together with the square of their difference, is equal to the " square of the sum of the lines." A E P D jsr o •' COR. 2. From the demonstration it is manifest, that since... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...difference of their squares. If we subtract the square of a — 6 from that of a +6, we have, 4ab — difference. Therefore, four times the product of any...whatever, of which the product is ab ; add to the factor COMPOUND PRODUCTS. 103 a, any quantity c, and the product becomes a 6+6 c; subtract any quantity c,... | |
 | Mathematics - 1836 - 488 pages
...and the first mentioned part. Сок. 1. Hence, four times the rectangle contained by any two lines together with the square of their difference, is equal to the square of the sum of the lines. 3. From the demonstration it is also manifest, that the square of any line is... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...and AC the difference of ' the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square ' of the sum of the lines." " COR. 2. From the demonstration it is manifest, that since the square ' of... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...and AC the difference of the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square of the sum of the lines. Con. 2. — From the demonstration, it is manifest, that, since the square of... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...AC the difference of " the lines AB and BC, four times the rectangle contained by any two " lines, together with the square of their difference, is equal to the square " of the sum of the lines." " COR. 2. From the demonstration it is manifest, that since the square " of... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...AC the difference of " the lines AB and BC, four times the rectangle contained by any two " lines, together with the square of their difference, is equal to the square " of tht sum of the lines." . " COR. 2. From the demonstration it is manifest, that since the square " of... | |
 | William Ernst Paterson - Algebra - 1908 - 614 pages
...6w ,. 4« — 2 с 81. Subtract — g — - + a from x ^0 o ¿ 32. Prove that the square of the sum of any two numbers together with the square of their difference is equal to twice the sum of the squares of the two numbers. 33. Extract the square root of 4 a:1 -12*',/ + 17жУ-12агУ+4*У34.... | |
 | Charles Godfrey - Algebra - 1918 - 574 pages
...the product of the two greatest and the product of the two least. 2. Prove that the square of the sum of any two numbers together with the square of their difference is equal to twice the sum of the squares of the two numbers. 3. Prove that if the square of half the difference... | |
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COR. 1. Hence, because AD is the sum, and AC the difference of ' the lines AB and BC, four times the rectangle contained by any two lines, together with the square of their difference, is equal to the square ' of the sum of the lines." " COR. 2. From... 