 | 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 the straight... | |
 | 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... | |
 | Euclides - 1855 - 270 pages
...DG, are equal to one another. Wherefore the circle described from the centre D, at the distance of one of them, will pass through the extremities of the other two, and tonch the straight lines AB, B С, and С A. Because the angles at the points E, F, and G, are right... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...FC are equal to one another : wherefore the circle described from the center 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 center of the circle... | |
 | Euclides - 1860 - 288 pages
...and 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, and CA, because the angles at the points E, F, and G are right... | |
 | Euclides - 1862 - 140 pages
...straight lines FA, FB, FC, FD, FE, 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. Conclusion. — Therefore, the circle ABCDE is described about the regular pentagon ABCDE. QEF... | |
 | Euclides - 1862 - 172 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 because the angles at the points E, F, G, are right angles, and the straight line which is drawn from... | |
 | Euclides - 1863 - 122 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.—It is manifest, that when the centre of the "circle... | |
 | Euclides - 1864 - 262 pages
...FC are equal to one another : wherefore the circle described from the center 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 COE. — And it is manifest, that when the center of the circle... | |
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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. 
