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" A circle is said to be described about a rectilineal figure, when the circumference of the circle passes through all the angular points of the figure about which it is described. 7. A straight line is said to be placed in a circle, when the extremities... "
Elements of Plane Geometry According to Euclid - Page 80
by Andrew Bell - 1837 - 240 pages
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...inscribed in a rectilineal figurĀ» when the circumference of the circle touches each side of the figure. 7. A straight line is said to be placed in a circle...extremities of it are in the circumference of the circle. PROP OSITIONS. then if EC is equal to PROPOSITION I. PROD. In a given circle, to place a straight line...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...circumference of the circle touches each side of the figure, A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. o VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...touches each side of the figure. Definitions IV. and V. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...touched by each of the sides of the polygon. VI. A circle is said to be circumscribed about a polygon, when the circumference of the circle passes through all the angular points of the polygon. VII. A straight line is said to be placed in a circle, when its extremities are in the circumference...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...about a rectilineal figure, when its circumference passes through all the vertices of that figure. A straight line is said to be placed in a circle,...the extremities of it are in the circumference of that circle. PROPOSITION I.-PKOBLEM. In a given circle (ABC), to place a straight lute equal to a given...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 pages
...figure. 6. A circle is said to be described about a rectilineal figure, when the circumference of the s, circle passes through all the angular points of the...extremities of it are in the circumference of the circle. 8. Polygons of five sides are called pentagons; those of six sides, hexagons ; those of seven sides, heptagons...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...circumference of the circle touches each side of the figure. 6. A circle is said to be circumscribed about a rectilineal figure, when the circumference of the...the angular points of the figure about which it is circumscribed. 7. A straight line is said to be placed in a circle, when its extremities are in the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...W, A circle is said to be described about a rectilineal figure, when the circumference of the circit passes through all the angular points of the figure about which it is described. VIL A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...circumference of the circle touches each side of the figure. 6. A circle is said to be described about a rectilineal figure, when the circumference of the...are in the circumference of the circle. 8. A regular angles. polygon has all its sides equal, and also all its 9. A polygon of five sides is called a pentagon;...
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