| John Playfair - 1819 - 317 pages
...IV. THEOR. If a straight line be divided into any tiio parts, the square, of the whole line is equal **to the squares of the two parts, together with twice...straight line AB be divided into any two parts in C** ; Uie square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB,... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. **Let the straight line AB be divided into any two parts in** the point C ; the rectangle AB.BC, together with the rect- » P "R angle AB.AC, is equal to the square... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...divided into any twq parts, the square of the whole line is equal to the squares of the two pai ts, **together with twice the rectangle contained by the...AB be divided into any two parts in C; the square** of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB. G K D Upon... | |
| 1854 - 1110 pages
...us (II., 4), if a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained by the parts** ; and, were we to represent the line as a divided into two parts m, x, the algebraical expression for... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...straight line be divided into any two parts, the square or in* ELEMENTS OP KUCUD. 191 vhole line is equal **to the squares of the two parts, together with twice...straight line AB be divided into any two parts in** С ; the square of AB is equnl to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...the whole line is equal to the squares of the two parts, together with twiee the reetangle eontained **by the parts. Let the straight line AB be divided into any two parts in C ; the square** of AB is equal to the squares of AC, CB, and to twiee the reetangle eontained by AC, CB, that is, AB3... | |
| Euclid - 1826 - 236 pages
...IV. THEOREM. If a right line be divided into any two part:!, the square of the whole line is equal **to the squares of the two parts, together with twice the rectangle contained** under the parts. Let the right line AB be divided into any two parts in the point c ; the square of... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...twice the rectangle contained by the whole and that part, together with the square of the other part. **Let the straight line AB be divided into any two parts in** the point C: the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with the... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 pages
...rectangle under either of them and a third of the other, #c. #c. PROPOSITION II. THEOREM. (223) If a right **line (AB) be divided into any two parts (in C), the square** of the whole line is equal to the sum of the rectangles under the whole (AB) and each of the parts... | |
| John Playfair - Geometry - 1829 - 186 pages
...foresaid part. If a straight line be divided into any two parts, the square of the whole line is equal **to the squares of the two parts together with twice the rectangle contained by the** two parts. Or, in other words, the square of the sum of two lines is greater than the sum of their... | |
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