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 Books Books 31 - 40 of 161 on The opposite angles of any quadrilateral figure inscribed in a circle, are together.... The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. Pure Mathematics - Page 273
1874 The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...to the whole angle BED. Wherefore, the *2 Ax. angles in the same segment, &c. QED PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed...two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles shall together be equal to two right angles. Join... Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...equal to the whole angle BED. Wherefore the angles in the same segment, &c. QED PROP. XXII. THEOR. THE opposite angles of any quadrilateral figure inscribed...two right angles. Let ABCD be a quadrilateral figure in the circle ABCD: any two of its opposite angles are together equal to two right angles. Join л... Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...to the whole angle BED. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure described 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 to two right angles. Join AC,... Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...to the whole angle BED. (ax. 2.) Wherefore the angles in the same segment, &c. QED PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral...two right angles. Let ABCD be a quadrilateral figure in the circle ABCD. Then any two of its opposite angles shall together be equal to two right angles.... A system of practical mathematics; being no.xvi. of a new series of school-books

1845
...arc on which it stands. (Prop. 1. cor. 3.) PROPOSITION XLVIII. — THEOREM. The opposite angles of a quadrilateral figure inscribed in a circle are together equal to two right angles. For the three is of the A ABC, namely ABC, BCA, and CAB, are together equal to two right angles, (Prop.... The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - Geometry - 1845 - 358 pages
...&c.f PROP. XXII. THKOR. — The opposite angles of any quadrilateral figure described in a circle, J are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; If in the first diagram, CE were produced to meet AB, the first case might be proved... The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 equal to two right angles. Join AC, BD:... Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 317 pages
...the whole angle BED. * PROP. XXII. THEOR. The opposite angles of any quadrilateral figure described in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any its opposite angles are together equal to two right angles. Join AC, BD. The... The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...PROP. XXI. THEOREM. The angles in the same segment of a circle are equal to one another. PROP. XXII. THEOREM. The opposite angles of any quadrilateral...a circle, are together equal to two right angles. PROP. XXIII. THEOREM. Upon the same straight line, and upon the same side of it, there cannot be two... 