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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 Geometrical Companion: In which the Elements of Abstract Geometry are ...

George Darley - Geometry - 1828 - 169 pages
...but these are sufficient to evince the practical tendency of the theorem abovestated. DBF. XXIII. " A rectilineal figure is said to be inscribed in a circle when the vertices of all its angles are situated in the circumference of that circle." On the other hand,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...contact. 8. Circleğ are said to touch one another, when they meet, but do not cut one another. 9. A rectilineal figure is said to be inscribed in a circle, when all its angular points are in the circumference of the circle. Also, when this is the case, thu circle is said...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

Mathematics - 1835
...of contact. 8. Circles are said to touch one another, when they meet, but do not cut one another. 9. A rectilineal figure is said to be inscribed in a circle, when all its angular points are in the circumference of the circle. Also, when this is the case, tho circle is said...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 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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A complete, scientific, and popular treatise upon perspective, with the ...

Complete, scientific and popular treatise - 1836
...which can only touch the circumference at a single point M, which is called the point of contact. A figure is said to be inscribed in a circle when all its angles have their summits in the circumference of a circle; and the circle is said to be circumscribed about...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 128 pages
...of that direction, which two will be unequal, by ARTICLES 65, 66, and 67. LESSON VIII. DEF. XXIII. A rectilineal figure is said to be inscribed in a circle when the vertices of all its angles are situated in the circumference of that circle. ART. 69. The opposite...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 318 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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