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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. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 33
by Miles Bland - 1819 - 377 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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

Miles Bland - Euclid's Elements - 1819 - 442 pages
...AEO, BEO, and the angles at E right angles, .-. AO — OB. Whence AO, OB, OF are all equal ; and the circle described from the centre O, at the distance...pass through the extremities of the other two, and touch the line CD, since OF is perpendicular to CD. 2. But if AB is not parallel to CD, let them be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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

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,...
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Elements of Arithmetic, Algebra, and Geometry

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

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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 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,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 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,...
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