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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... "
The Geometrical Companion, in which the Elements of Abstract Geometry are ... - Page 87
by George Darley - 1828 - 169 pages
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851 - 716 pages
...immediately or when produced cuts the circumference in two points, is called a secant, ab (fig. 46). A rectilineal figure is said to be inscribed in a circle when all its sides are chords (fig. 45) ; it is said to be circumscribed about a circle when all its sides...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...triangle is one which has the vertices of its three angles in the circumference. And generally, a polygon is said to be inscribed in a circle, when the vertices of all the angles are in the circumference. The circumference of the circle is then said to circumscribe the...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...angular points of the figure about which it is described, each through each. Definiiions I. and II. 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. Definition III. IV....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 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 upon the circumference of the circle. 4. A rectilineal figure...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...figure pass through the angular points of the figure about which it is described, each through each. in. 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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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...triangle is one which has the vertices of its three angles in the circumference. And generally, a polygon is said to be inscribed in a circle, when the vertices of all its angles are in the circumference. The circumference of the circle is then said to circumscribe the polygon. 8....
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...another, when all the sales of the former pass through the vertices of the latter, each through each. A A rectilineal figure is said to be inscribed in a circle, when all the ยก vertices of the former are upon the circumference of the circle. \ IV. A rectilineal figure...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...larger triangle is not 'circumscribed' about the lesser in the Island 2nd, but only in the 3rd. DBF. 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. DBF. 4. A...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 340 pages
...has its three angular points in the circumference- Thus, ABC is an inscribed trianle11 Arty polygon is said to be inscribed in a circle when the vertices of all the angles are in the circumferenceThe ci1cle is then said to circumscribe the polygonGEOMETRYDefinitions...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...pass through the angular points of the figure about which it is circumscribed, each through each. 3. 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. 4. A Rectilineal figure...
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