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" In like manner, a figure is said to be described about another figure, when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described, each through each. III. A rectilineal figure is said to be... "
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ... - Page 97
by Sir John Leslie - 1811 - 500 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
...figure pass through the angular points of the figure about which it is described, each through each. ra. 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 and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry, Plane - 1817 - 450 pages
...is equivalent to DF, FA, and the base HF equal to DF, or the point H is the same as D. ELEMENTS OF GEOMETRY. BOOK IV. DEFINITIONS. 1. A rectilineal figure...circumscribes a circle, when each of its sides is a tangent. 102 ELEMENTS OF GEOMETRY. 4. A circle is described about a rectilineal figure or circumscribes it,...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...F, and the rectangle CF, FB be equal to DF, FA, a circle may be described about the figure. ELEMENTS GEOMETRY. BOOK IV. DEFINITIONS. 1. A rectilineal figure is said to be i'«scribed in a circle, when all its angular points lie on the circumference. 2. 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, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - Geometry, Modern - 1820 - 488 pages
...is equivalent to DF, FA; and the base HF equal to DF, or the point H is the same as D. ELEMENTS OF GEOMETRY. . BOOK IV. DEFINITIONS. 1. A rectilineal...inscribed in a circle, when all its angular points He on the circumference. 2. A rectilineal figure circumscribes a circle, when each of its sides is...
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The First Six Books with Notes

Euclid - 1822 - 222 pages
...angle, and therefore * *• the right line BF is a tangent to the circle (6). THE ELEMENTS OP EUCLID. BOOK IV. DEFINITIONS. 1. A rectilineal figure is said to be inscribed in a Plaie t. circle, when the vertex of each angle of the figure is •*•,?• 1 ••».<• in the...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 508 pages
...angle (18. 3), therefore FAE is also a right angle, and, of course AE touches the circle (Cor. 16. 3). BOOK IV. DEFINITIONS. 1. A RECTILINEAL figure, is said to be inscribed in another rectilineal figure, when all the angles of the inscribed figure, are in the perimeter of the...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...given right line, the given points being both on the same side of the right line. EUCLID'S ELEMENTS. BOOK IV. DEFINITIONS. 1. A rectilineal figure is said to be inscribed in a rectilineal figure, when every angle of the inscribed figure touches every side of the figure in which...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...given right line, the given . points being both on the same side of the right line. EUCLID'S ELEMENTS. BOOK IV. DEFINITIONS. 1. A rectilineal figure is said to be inscribed in a rectilineal figure, when every angle of the inscribed figure touches every side of the figure iu which...
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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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