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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 ... - Σελίδα 202
των Miles Bland - 1821 - 438 σελίδες
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...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,...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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...

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

Euclides - 1841 - 351 σελίδες
...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...

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

John Playfair - 1842 - 317 σελίδες
...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,...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...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,...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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,...

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

John Playfair - 1846 - 317 σελίδες
...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,...

Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 σελίδες
...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,...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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...




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