 | John Playfair - Geometry - 1829 - 210 pages
...1. If a straight line AB be divided into any two parts AC, CB, the squares of the whole line and of one of the parts are together equal to twice the rectangle...whole line and that part together with the square of the other part. That is, AB a + BO « 2 AB . BC + AC3, by adding 2AB . BC to the two equals in the... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...im45.PROP. XXIII. Jf a straight line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part. With the same construction as in (44.),... | |
 | Great Britain. Committee on Education - 1855 - 978 pages
...right angle. 4. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole Une and one of the parts, together with the square of the other part. 5. To construct a square equal... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...their squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle... | |
 | Euclides - 1862 - 140 pages
...straight line, &c. QED PROPOSITION 7.—THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Euclides - 1864 - 448 pages
...their squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 15. If a straight line be divided into two equal... | |
 | Euclides - 1864 - 150 pages
...their squares shall be eq^ial to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 15. If a straight line be divided into two equal... | |
 | Euclides - 1864 - 262 pages
...their squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle... | |
 | Euclides - 1865 - 402 pages
...equal to the squares on the two parts, together with twice the rectangle under the parts . n. 4. 4. The squares on the whole line, and on one of the parts, are equal to twice the rectangle under the whole and that part, together with the square on the other part... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...are 3, 4, and 5 units respectively. 5. Prove that if a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
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that the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole line and that 'part, together with the square on the other part. 
