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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...