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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, the first three books (the fourth, fifth, and ...

Euclides - 1846
...... 163 Sixth Book ... ... ... ... 195 Trigonometry ... ... .. ... 229 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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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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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Iconographic Encyclopaedia of Science, Literature, and Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1851
...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 are tangents...
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851
...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 are tangents...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...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 first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 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. A...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 mensuration

Thomas Lund - Geometry - 1854 - 192 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 Rectilineal...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - Science - 1854
...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 vertices of the former are upon the circumference of the circle. \ IV. A rectilineal figure...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...figure 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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