 | John Playfair - Mathematics - 1806 - 320 pages
...FB, FC are equal to one another. Wherefore the circle described from the centre F, at the distance of one of them, will pass through the extremities of the other two, and will be described about the triangle ABC. Which was to be done. COR. When the centre of the circle... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...shewn that BO=CO; and the three lines OA, OB, OC being equal, a circle described from the centre O at the distance of any one of them will pass through the extremities of the other two. And besides this, no other circle can pass through A, B, C: for if it could, its centre would be in .DFand... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...FC are equal to one another ; wherefore the circle described from the centre F, at the distance o/ one of them,, will pass through the extremities of the other two, and be described about the triangle ABC, which was to be done. COR. When the centre of the circle falls... | |
 | John Playfair - 1819 - 354 pages
...DF, DG are equal to one another, and the circle described from the centre D, at the distance of any of them, will pass through the extremities of the other two, and will touch the straight lines AB, BC, CA, because the angles at the points E, F, G are right angles,... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...shewn that BO = CO; and the three lines OA, OB, ОС being equal, a circle described from the centre О at the distance of any one of them will pass through the extremities of the otlier two. And besides this, no other circle can pass through A, В, С : for if it could, its centre... | |
 | George Lees - 1826 - 276 pages
...straight lines DE, DF, and DG are equal to one another, and the circle described from the centre D at the distance of any one of them, will pass through the extremities of the other two, and will touch the straight lines AB, BC, CA, because the angles at the points E, F, G are right angles... | |
 | Miles Bland - Euclid's Elements - 1827 - 462 pages
...given circle. By the last problem describe a circle touching HI, KL, \ GEOMETRICAL PROBLEMS. [Sect. 6. and passing through O the centre of the given circle.....-. right angles ; and it will also touch the circle EFO in F, since OP the line joining the centres passes through F, (47.) To describe a circle which... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...FC, are equal to one another: wherefore the circle described from the centre F, at the distance of one of them, will pass through the extremities of the other two, and be described about the triangle ABC. Which was to be done. COR. And it is manifest, that when the centre... | |
 | Euclides - 1834 - 518 pages
...FC, are equal to one another : wherefore the circle described from the centre F, at the distance of one of them, will pass through the extremities of the other two, and be described about the triangle ABC. Which was to be done. COROLLARY. And it is manifest, that when... | |
 | Euclid - 1835 - 540 pages
...DF, DG are equal to one another, and the circle described from the centre D, at the distance of any of them, will pass through the extremities of the other two, and will also touch the straight lines AB, BC, CA, because the angles at the points E, F, G are right angles,... | |
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FC are equal to one another : wherefore the circle described from the centre F, at the distance of one of them, will pass through the extremities of the other two, and be described about the triangle ABC. 
