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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 ... - Page 87
by George Darley - 1828 - 169 pages
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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...
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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...
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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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 508 pages
...another rectilineal figure, when the perimeter 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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...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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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...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...rectilinear figure which has all its angles and all its sides equal to one another. Remark II. A rectilinear figure is said to be inscribed in a circle, when the vertices of all the angles of that figure are at the circumference of the circle. Remark HI. A rectilinear figure is...
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