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" THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD. "
Elements of Geometry, Theoretical and Practical: Including Constructions of ... - Page 73
by Eugenius Nulty - 1836 - 220 pages
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...segment, &c. '.>• /:. /.. PROPOSITION XXII. THEOR. — The opposite angles of any quadrilateral Jigure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadraliteral figure in the circle ABCD : any two of its opposite angles shall together be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...is equal to the whole angle BED. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...in the circumference of that circle. ART. 69. The opposite angles of a four-sided rectilineal figure inscribed in a circle, are together equal to two right angles. Let ABCD be a four-sided rectilineal figure inscribed in the circle ACD. Then the angles ABC, ADC, together,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...angles in the same segment, &c. QE n. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles shall together be...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...angles in the same segment, &c. QED PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles shall together be...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...angles in the same segment, &c. QED PROP. XXII. THEOR. THE opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD: any two of its opposite angles are together equal...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...the same segment, &c. QED PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD. Then any two of its opposite angles shall together...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...in the same segment ffc, QK l>. PROP. XXII. THEOE. The opposite angles of any quadrilateral fffure inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral figure inscribed in a circle : any two of its opposite angles shall be together...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...segment, &c. QED PROPOSITION XXII. — THEOREM. The opposite angles of any quadrilateral figure described in a circle are together equal to two right angles. LET ab С d be a quadrilateral figure in the circle ab С d ; any two of its opposite angles are together equal to two right angles....
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...angles in the same segment, &c. UKD PROP. XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles are together equal...
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