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" A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle. 5. In like manner, a circle is said to be inscribed... "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Page 106
by Euclid, Rev. John Allen - 1822 - 494 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...pass through the angular points of the figure about which it is described, each through each. III. A rectilineal figure is said to be inscribed in a circle, when all the angular points of the inscribed figure are upon the circumference of the circle. IV. A rectilineal...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876
...of the inscribed figure are upon the sides of the figure in which it is inscribed. Ex. ABCD— (b.) A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are upon the circumference of the circle. Ex. ABCD — NOTE. —...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 443 pages
...is one whose vertex is on the circumference, and which is formed by two chords, as BAC; 7. A polygon is said to be inscribed in a circle when all its angles have their vertices on the circumference, as ABC. ' The circle is then said to be described about the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...figure pass through the angular points of the figure about which it is described, each through each. 3. A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure aro on the circumference of the circle. 4. A rectilineal figure...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 399 pages
...INSCRIBED AND CIRCUMSCRIBED FIGURES An inscribed polygon and a circumscribed circle. Definitions. 228. Def. A rectilineal figure is said to be inscribed in a circle when all its vertices lie on the circle. The circle is then said to be circumscribed about the figure. 229. Def....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...figure pass through the angular points of the figure about which it is described, each through each. 3. A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are on the circumference of the circle. 4. A rectilineal figure...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 312 pages
...is said to be inscribed in the latter ; 2, the latter is said to be described about the former, n. A rectilineal figure is said to be inscribed in a circle when its angular points are on the circumference. Reciprocally, a rectilineal figure is said to be circumscribed...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...is said to be inscribed in the latter ; 2, the latter is said to be described about the former, ii. A rectilineal figure is said to be inscribed in a circle when its angular points are on the circumference. Reciprocally, a rectilineal figure is said to be circumscribed...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...pass through the angular points of the figure about which it is described, each through each. III. A rectilineal figure is said to be inscribed in a circle, when all the angles of the inscribed figure are upon the circumference of the circle. IV. A rectilineal figure...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 518 pages
...„ Quindecagon. 2. A Polygon is Regular when all its sides are equal, and all its angles are equal. 3. A rectilineal figure is said to be inscribed in a circle, when all its angular points are on the circumference of the circle : and a circle is said to be circumscribed about...
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