| 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... | |
| 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... | |
| 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 - 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... | |
| Edinburgh univ - 1868 - 336 pages
...the other. 3. 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.** 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer... | |
| Robert Potts - 1868 - 434 pages
...other part, is equal to the square on tlte 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... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 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... | |
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