| John M'Nevin - Arithmetic - 1841 - 280 pages
...4, Lib. 2. "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."** Thus, let AB be divided into two parts, 6 and 4, the square of the whole line 10, which is 100, is... | |
| John M'Nevin - Arithmetic - 1841 - 300 pages
...4, Lib. 2. "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."** Thus, let AB be divided into two parts, 6 equal to 6 squared plus 4 squared, together with twice the... | |
| Euclides - 1841 - 378 pages
...twice the rectangle contained by the whole and that part, together with the square of the otherpart. **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... | |
| Euclides - 1842 - 320 pages
...rectangles contained by the whole and each of the parts, are together equal to the square of the whole fine. **Let the straight line AB be divided into any two parts in** the point c ; the rectangle contained by AB, BC, together with the rectangle* AB, AC, shall be equal... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...contained by the whole and each of the parts, are together equal to the square of the whole line. F c B **Let the straight line AB be divided into any two parts in** the point C ; the rectangle AB.BC, together with the rectangle AB.AC, is equal to the square of AB... | |
| Euclides - 1845 - 544 pages
...other part, is equal to the square of the straight line, which is made up of the whole and that part. **Let the straight line AB be divided into any two parts in** the point C. Then four times the rectangle AB, BC, together with the square of AC, shall be equal to... | |
| Euclid, James Thomson - Geometry - 1845 - 380 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 rectangles AB.AC, and AB.BC are equal to the square of AB. Upon AB describe (I. 46)... | |
| Euclid - Geometry - 1845 - 218 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 are equal to twice the rectangle AB, BC, together with the square... | |
| Euclides - 1846 - 292 pages
...equal to the rectangle contained by the two parts, together with the square of the aforesaid part, **Let the straight line AB be divided into any two parts in** the point C : the rectangle AB, BC shall be equal to the rectangle AC, CB, together with the square... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...contained by the whole and each of the parts, are together equal to the square of the whole line. c B **Let the straight line AB be divided into any two parts in** the point C ; the rectangle AB.BC, together with the rectangle AB.AC, is equal to the square of AB... | |
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