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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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...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, and will be described about the equilateral and equiangular pentagon ABCDE. Wherefore a circle...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...FB, PC 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...

Rules and formulæ in elementary mathematics

Braithwaite Arnett - 1873
...A. Thus the proposition is true. COE. Since EJm = E^n = E^p, the circle described from the centre E, at the distance of any one of them will pass through the extremities of the other two, and touch the straight lines AB, BC, CA, because the angles at m, n, p are right angles. This circle is called the...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 σελίδες
...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...

The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...andFC; are equa 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 u manifest, that ivhen the centre of the circle fall,...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 σελίδες
...manner all lines drawn from E to the angles of the polygon are equal, and a circle from the centre E, at the distance of any one of them, •will pass through the extremities of the others, and will be described about the polygon. Corollary 1.—From this and the last proposition...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 σελίδες
...straight lines EA, EB, EC, ED are equal to one another, and the circle described from the centre E, at the distance of any one of them, will pass through the extremities of the other three, and will be described about the square ABCD. Wherefore a circle has 'been described about the...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...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 touch the straight lines AB, BC, and C A. Because the angles at the points E, F, and G, are right angles, and...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...straight lines EA, EB, EC, ED are equal to one another, and the circle described from the centre E, at the distance of any one of them, will pass through the extremities of the other three, and will be described about the square ABCD. Wherefore a circle has been described abnut the...




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