 | Robert Simson - 1806 - 546 σελίδες
...equal to the rectangle BE, ED. But let one of them BD pass through the centre, and cut the other AC, which does not pass through the centre, at right angles, in the point E : then, if BD be bisected in F, F is the centre of the circle ABCD ; join AF : and because BD, which passes... | |
 | John Playfair - 1806 - 320 σελίδες
...is equal to the rectangle BE.ED. Let one of them BD pass through the centre, and cut the other AC, which does not pass through the centre, at right angles in the point E ; bisect BD in F, then F is the centre of the circle ABCD. Join AF. Because BD, which passes through... | |
 | Euclides - 1816 - 588 σελίδες
...equal to the rectangle BE, ED. But let one of them BD pass through the centre, and cut the other AC which does not pass through the centre, at right angles, in the point E : Then, if BD be bisected in F, F is the centre of the circle ABCD; join AF : And because BD, which passes... | |
 | John Playfair - 1819 - 354 σελίδες
...equal to the rectangle BE.ED. But let one of them BD pass through the centre, and eutthe other AC, which does not pass through the centre, at right angles in the point E : then, if BD be biserted in F, F i? (he centre of the circle M ABCD ; join AF : and because BD, which passes... | |
 | John Playfair - 1819 - 350 σελίδες
...equal to the rectangle BE. ED. But let one of them BD pass through the centre, and cut the other AC> which does not pass through the centre, at right angles in the •ointE : then, if BD be bisected in F, F 43 the centre of the circle M . ABCD ; join AF : and because... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...equal to the rectangle BE, ED. But let one of them BD pass through the centre, and cut the other AC which does not pass through the centre at right angles, in the point E : Then, if BD be bisected in F, F is the centre of the circle ABCD ; join AF : And because BD, which passes... | |
 | George Lees - 1826 - 276 σελίδες
...the rectangle AE.EC = BE.ED. But let one of them BD, pass through the centre, and cut the other AC, which does not pass through the centre at right angles in the point E : then if BD be bisected in F, F aCor. 1. 1.2. is the centrea ; join AF. Then becauseBD passes through the... | |
 | Robert Simson - 1827 - 546 σελίδες
...equal to the rectangle BE, ED. 1; But let one of them BD pass through the centre, and cut the other AC, which does not pass through the centre, at right angles, in the point E : then, if BD be bisected in F, F is the centre of the circle ABCD : join AF : and because BD which passes... | |
 | Euclid - 1835 - 540 σελίδες
...equal Jj to the rectangle BE, ED. But let one of them BD pass through the centre, and cut the other AC which does not pass through the centre, at right angles, in the point E: Then, if BD be bisected in F, F is the centre of the circle ABCD; join AF: and because BD, which passes through... | |
 | Robert Mudie - 1836 - 542 σελίδες
...two and two, are equal. There are other three cases, one line passing through the IN A CIRCLE. 4flO centre, crossing the other at right angles, and consequently...ED, that is, as c D is bisected the square of c E OP E D. Join A c, c B, BD, DA ; and the triangles ACB, A n B, are equal to each other, and right-angled... | |
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But let one of them BD pass through the centre, and cut the other AC, which does not pass through the centre, at right angles, in the... 
