| Royal college of surgeons of England - 1860
...parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained **by the whole and that part together with the square on the other part.** 7. If ABC be a triangle, and AD, BE, be drawn perpendicular to BC, AC, and intersect in F, the rectangle... | |
| Robert Potts - 1860 - 361 pagina’s
...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 other part.** Let the straight line ABbe divided into any two parts in the point C. Then the squares on AB, BC shall... | |
| Euclides - 1860
...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 other part.** Given the straight line AB, divided into any two parts in the point C ; to prove that the squares on... | |
| War office - 1861 - 12 pagina’s
...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 other part.** 4. When are circles said to touch one another ? One circle cannot touch another in more points than... | |
| Euclides - 1862
...the squares on the wlutle 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 other part.** (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight line AB be divided... | |
| Robert Potts - 1864
...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 other part.** Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall... | |
| 1866
...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 other part.** Give Euclid's demonstration of this proposition ; also, prove it algebraically. 6. Describe a square... | |
| Alexander Kennedy Isbister - 1865
...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** . . . . . n. 7. 5. Four times the rectangle under the whole line, and one of the parts, together with... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...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 other part.** Let the straight line AB be divided into any two parts at the point C ': the squares on AB, BC shall... | |
| Woolwich roy. military acad - 1868
...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 other part.** Where does Euclid afterwards use this proposition? 12. To inscribe a square in a given circle. 13.... | |
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