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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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...figure pass through the angular points of the figure about which it is described, each through each. nI. 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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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 f angles of the inscribed figure are on the circumference of the circle. 4. A rectilineal figure...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 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. A rectilineal...
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Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI

Euclid - 1868 - 141 pages
...ro iyypa^ofiivov uiгTi\-ai rrjc той KK\OV irepii>epia. DEFINITION 3 — A rectilinear figure is said to be inscribed in a circle when all its angles rest upon the periphery of the circle. "Opo $'. — "2%rfia Sk f0vypa/i/AOv iTfp KVK\OV Xyfrai,...
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Euclid's Elements of Geometry

Euclid - Geometry - 1872 - 261 pages
...„ 62 + c2 = (CA)2, therefore, a2 + 2ab + b2 + c2 = a2 + 2ab + b2 + c2. FOURTH BOOK. DEFINITIONS. 1. A rectilineal figure is said to be inscribed in a circle, when each of its angles touches the circumference of the circle. 2. A rectilineal figure is said to be circumscribed...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...described about, or to circumscribe another figure, when all its sides pass through the angular points of the other. 3. A rectilineal figure is said to be inscribed in a circle -when all its angles are On the circumference of the circle. 4. A rectilineal figure is said to be described about, or to Circumscribe...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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 angular points of the inscribed figure are upon the circumference of the circle. 4. A rectilineal...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...diameter drawn through P, and will therefore meet the circle in some point Q; join PQ. DEFINITION. A rectilineal figure is said to be inscribed in a circle when all the angular points of the rectilineal figure are upon the circumference of the circle. PROBLEM 2. /;/...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...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...
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