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" A polygon is faid to be infcribed in a circle, when all its angles touch, or are in the circumference ; and circumfcribed, when all the fides touch the circle. "
Elements of Geometry: With Their Application to the Mensuration of ... - Page 41
by Thomas Simpson - 1760 - 276 pages
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Short, But Yet Plain Elements of Geometry: Shewing how by a Brief and Easie ...

Ignace Gaston Pardies - Geometry - 1734 - 192 pages
...circumfcribed about the Circle bgfj becaufe every Side of the Triangle touches the Circle \nb, gand/. -i. A Figure is faid to be Infcribed in a Circle, when all its Angles are in the Circumference of that Circle, as the Triangles be, in the following Figure. 22 Every Triangle, abc, may be infcribed...
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A treatise containing the elementary part of fortification. [With] M ...

John Muller - 1756 - 372 pages
...its fides are equal as well as all its angles; and irregular, when they are unequal. 31. A polygon is faid to be infcribed in a circle, when all its angles touch the circumference; and circumscribed about a circle, when all its fides touch the circle. Polygons...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...fide of the circumfcribed figure touches every angle of the figure about which it is circumfcribed. 3. A right lined figure is faid to be infcribed in a circle, when every angle of the infcribed figure touches the circumference of the circle. 4. A right lined figure...
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A New System of Mathematics: Containing Plane Geometry; General ...

John Muller - Mathematics - 1769 - 152 pages
...the triangles D*C, B^A, are equiangular, and De : Be : : e C : e\-. POLYGONS. Definitions. A polygon is faid to be infcribed in a circle, when all its angles touch, or are in the circumference ; and circumfcribed, when all the fides touch the circle. When all...
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New Elements of Mathematics: Or Euclid Corrected. Containing Plane Gometry ...

John Muller - Mathematics - 1773 - 202 pages
...triangles DeC, BM., are equiangular, and De : Be : : eC : ?A. '.j» OLYGON S. Definitions. A polygon is faid to be infcribed in a circle, when all its angles touch, or are in the circumference ; and circumfcribed, when all the fides touch the circle. When all...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...cumfcribed, touches every one of the Angles of the Figure, about which it is cir, cumfcribed. III. A Right lined Figure is faid to be infcribed in a Circle, when every one of the Angles of that Figure, which is infcribed, touches the Circumference of the Circle....
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...another, when all the fides of the one pafs through the angular points of the other. 3. A re&ilineal figure is faid to be infcribed in a circle, when all its angular points are in the circumference of the circle. 4. A re&ilineal figure is faid to be defcribed...
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A Treatise Containing the Elementary Part of Fortification, Regular and ...

John Muller - Fortification - 1799 - 336 pages
...its fides are equal as well as all its angles; and Irregular, when they are unequal. 31. A polygon is faid to be infcribed in a circle, when all its angles touch the circumference; and drcumfcribed about a circle, when all its fides touch the circle. Polygons...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 516 pages
...of the former touches all the angles of the other. 3. A rectilineal figure, is said to.be inscribed in a circle, when all its angles, are in the circumference of the circle. 4. A circle, is said to be circumscribed about a rectilineal figure, when every angle of the rectilineal...
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