| Euclides - 1871 - 136 sider
...that BGD is a straight line. /i as a If. a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made... | |
| Euclid, Charles Peter Mason - 1872 - 216 sider
...under the whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. The propositions required... | |
| Euclides, James Hamblin Smith - 1872 - 376 sider
...straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the otJter part, is equal to the square on the straight line which is made... | |
| Francis Cuthbertson - 1874 - 400 sider
...on BP + rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other parts. PROPOSITION... | |
| Euclides - 1874 - 342 sider
...line, &c. QED PROPOSITION 8. —Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which is made... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...PROP. VIII.— THEOREM. (Euc. II. 8.) If a straight line be divided into any two ^mrts, four limes the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line which in made... | |
| Euclides - 1874 - 120 sider
...represented in symbols, PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained- by the whole line and one of the parts together with the square on the other part, is equal to the square on the straight line which is made... | |
| Edward Atkins - 1874 - 426 sider
...line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made... | |
| Richard Wormell - 1876 - 268 sider
.... . . . . . .' . . . . . . . . 145 s. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made... | |
| Robert Potts - 1876 - 446 sider
...line, &c. QED PROPOSITION VIIL THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which is made... | |
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