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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 ... - Side 87
av George Darley - 1828 - 169 sider
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...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 - 1874 - 400 sider
...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...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...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...
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A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 472 sider
...root of one half the square of the diameter ; or, divide the diameter by 1.4142. NOTE. — A square is said to be inscribed in a circle when the vertices of its angles are in the circumference. It may be conceived, ns shown in the annexed figure, to be composed...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...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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Introduction to the National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - 1876 - 344 sider
...same area ? Ans. 28.2+ rods. 344, To find the SIDE of a square inscribed in a given circle. A square is said to be inscribed in a circle when the vertices of its angles are in the circumference. 342. The rule for finding the area of a circle, when the diameter...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 sider
...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...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 sider
...of the inscribed figure are upon the sides of the figure in which it is inscribed. Ex. ABCD— (b.) 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. Ex. ABCD — NOTE....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...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 aro on the circumference of the circle. 4. A rectilineal figure...
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Elements of Geometry

Simon Newcomb - 1881 - 418 sider
...INSCRIBED AND CIRCUMSCRIBED FIGURES An inscribed polygon and a circumscribed circle. Definitions. 228. Def. A rectilineal figure is said to be inscribed in a circle when all its vertices lie on the circle. The circle is then said to be circumscribed about the figure. 229....
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