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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.
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 212
by Miles Bland - 1819 - 377 pages

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 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...

Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - Geometry - 1819 - 377 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 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,...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 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...

Elements of arithmetic, algebra and geometry

George Lees - Algebra - 1826 - 207 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...

Geometrical Problems Deducible from the First Six Books of Euclid: Arranged ...

Miles Bland - Geometry - 1827 - 377 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...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 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...