 | Euclides - 1838 - 264 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 be described about the triangle ABC. Which was to be done. PROP. VI. PROS. To inscribe a square in... | |
 | Euclides - Geometry - 1841 - 378 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 be described about the triangle ABC. Which was to be done. COR. And it is manifest, that when the centre... | |
 | John Playfair - Euclid's Elements - 1842 - 332 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. COR. When the centre of the circle falls within the triangle,... | |
 | Euclides - 1845 - 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. QEF COR. — And it is manifest, that when the centre of the circle... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 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 (III. 16, cor.) it will touch the straight lines AB, BC, CA, because the angles at the points E, F,... | |
 | Euclides - 1846 - 292 pages
...straight lines FG, FH, FK, FL, FM are equal to one another, and the circle described from the centre F, at the distance of any one of them, will pass through the extremities of the other four, and touch the straight lines AB, BC, CD, DE, EA, because the angles at the points G, H, K, L,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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. COR. When the centre of the circle falls within the triangle,... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...therefore, these five straight lines are equal to one another ; and a circle described upon the centre F, at the distance of any one of them, will pass through the extreme points of the other lour ; and touch the sides of the pentagon, where they meet the perpendiculars,... | |
 | Euclides - 1853 - 146 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 touch the straight lines AB, BC, CA, because the angles at the points E, F, G, are right angles, and... | |
 | Euclides - Geometry - 1853 - 334 pages
...four straight lines EA, EB, EC, ED are all equal. Hence the circle described with centre E and radius any one of them will pass through the extremities of the other three ; and since this circle ABC passes through all the angular points of the given square ABCD, it... | |
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FC ; (ax. 1.) and FA, 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 be described about the triangle ABC. 
