 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...and PQ touch the circle. Wherefore a circle has been inscribed in the given triangle. QEF DEFINITION. A rectilineal figure is said to be inscribed in a circle when all its angular points are upon the circumference of the circle. PROPOSITION III. To inscribe a square in a... | |
 | Robert Potts - Geometry - 1876 - 446 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... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...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. —... | |
 | Elias Loomis - Conic sections - 1877 - 458 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 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... | |
 | Simon Newcomb - Geometry - 1881 - 418 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.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 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... | |
 | Euclides - 1885 - 340 pages
...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 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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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... 
