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" ABCDE, and equal in altitude to the cylinder, is said to be inscribed in the cylinder, or the cylinder to be circumscribed about the prism. "
Elements of Geometry...: Translated from the French for the Use of the ... - Σελίδα 154
των Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
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Elements of Geometry

Adrien Marie Legendre - 1819 - 574 σελίδες
...(Jig. 252), considered as the base of a cylinder, a polygon ABCDE be inscribed, and upon the bast ABODE a right prism be erected equal in altitude to the...prism, being perpendicular to the plane of the base, arc comprehended in the convex surface of the cylinder; therefore the prism and cylinder touch each...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 σελίδες
...is inscribed, a right prism, constructed on this base ABCDE, and equal in altitude to the cylinder, is said to be inscribed in the cylinder, or the cylinder to be circumscribed about the prism. The edges AF, BG, CH, &c. of the prism, being perpendicular to the plane of the base, are evidently...

Elements of Geometry

Adrien Marie Legendre - 1825 - 276 σελίδες
...(fig. 252), considered as the base of a cylinder, a polygon ABCDE be inscribed, and upon the base ABCDE a right prism be erected equal in altitude to the...therefore the prism and cylinder touch each other along these lines. Fig. 253. 512. In like manner, if ABCD (fig. 253) be a polygon circumscribed about...

Elements of Geometry

Adrien Marie Legendre - 1825 - 570 σελίδες
...252), considered as the base of a cylinder, a polygon ABCDE be inscribed, and upon the base slBCDE a right prism be erected equal in altitude to the...the prism. It is manifest that the edges AF, BG, CH, &x., of the prism, being perpendicular to the plane of the base, are comprehended in the convex surface...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 294 σελίδες
...252), considered as the base of a cylinder, a polygon ABCDE be inscribed, and upjon the base sJBCDE a right prism be erected equal in altitude to the...about the prism. It is manifest that the edges AF, B3, CH, &c., of the prism, being perpendicular to the plane of the base, are comprehended in the convex...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 346 σελίδες
...inscribed in the cylinder, or the cylinder to be circumscribed about the prism. The edges AF, BG, CH, Sic. of the prism, being perpendicular to the plane of the base, are evidently included in the convex surface of the cylinder ; hence the prism and the cylinder touch one...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 σελίδες
...be inscribed, a right prism, constructed on this base ABCDE, and equal in altitude to the cylinder, is said to be inscribed in the cylinder, or the cylinder to be circumscribed about the prism. The edges AF, BG..CH, &c. of the prism, being perpendicular to the plane of the base, are evidently...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1837 - 376 σελίδες
...cylinder, is said to be inscribed in the cylinder, or the cylinder to be. circumscribed about the prism. The edges AF, BG, CH, &c. of the prism, being perpendicular to the plane of the base, are evidently included in the convex surface of the cylinder ; hence the prism and the cylinder touch one...

Elements of Geometry

Adrien Marie Legendre - 1841 - 288 σελίδες
...(fig. 252), considered as the base of a cylinder, a polygon ABCDE be inscribed, and upon the base ABCDE a right prism be erected equal in altitude to the...about the prism. It is manifest that the edges AF, 13G, CH, &c., of the prism, being perpendicular to the plane of the base, are comprehended in the convex...

Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 268 σελίδες
...ABCDE is inscribed, a right prism constructed on this base ABCDE and equal in altitude to the cylinder, is said to be inscribed in the cylinder, or the cylinder to be circumscribed about the prism. N K V BOOK VIII. F S R H cylinder ; hence the prism and the cylinder touch one another along these...




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