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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 Rev. John Allen - 1822 - 494 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
...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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Elements of Geometry: With Their Application to the Mensuration of ...

Thomas Simpson - Geometry - 1760 - 296 pages
...when both its extremes are in the periphery thereof. 13. A right- lined figure is faid to be infcribed in a circle, when all its angles are in the circumference of the circle. i4. A circle is faid to be defcribed about a right-lined figure, when the periphery of the circle pafies...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 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 incribed figure are upon the circumference of the circle. IV. A rectilineal figure...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 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. Book IV. IV. Wl *"v^»/...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...CF, must (II. 14.) be equivalent to the square of CH. f ELEMENTS GEOMETRY. BOOK IV. DEFINITIONS. 1. A rectilineal figure is said to be inscribed in a circle, when all its angular points lie in the circumference. 2. A rectilineal figure circumscribes a circle, when each...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...through the St«N. angular points of the figure about which it is described, each through each. 111. 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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...sides of the circumscribed figure touch all the angles of that figure about which it is circumscribed. 3. A rectilineal figure is said to be inscribed in a circle, when every angle of the inscribed figure is upon the circumference of the circle. ' 4. A rectilineal figure...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...sides of the circumscribed figure touch all the angles of that figure about which it is ci*eimscribed. 3. A rectilineal figure is said to be inscribed in a circle, when every angle of the inscribed figure is upon the circumference of the circle. 4. A rectilineal figure...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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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