| 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, Robert Simson - 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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