 | Euclides - 1862 - 172 pages
...THEOREM. If a straight line be divided into any two parts; then the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...rectilineal angle. 7. 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. 8. If a straight line be divided into any two parts, the squares of the whole line and one of the parts... | |
 | Euclides - 1864 - 262 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...straight line AB be divided into any two parts in C. Then the square on AB shall be equal to the squares on AC, and CB, together with twice the rectangle... | |
 | Henry White - 1864 - 156 pages
...angles. 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. 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | University of Calcutta - 1864 - 388 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical proposition is this equivalent ? 6. Describe a square that shall be equal to a... | |
 | Euclides - 1864 - 448 pages
...other part, is equal to the square on 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, VC, together with the square on AC, shall be equal to... | |
 | Euclides - 1865 - 402 pages
...THEOREM. If a straight line be divided into any two parts; then the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) I/et the straight line AB be divided into any two... | |
 | Robert Potts - 1865 - 528 pages
...other part, is equal to the square on 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 on AC, shall be equal to... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...line is equal to the squares on the tieo parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal to the squares on AC, CB, together with twice the rectangle... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...line. is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. Let the straight line AB be divided into any two parts at the point C: the square on AB shall be equal to the squares on AC, CB, together with twice the rectangle... | |
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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. 
