| 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... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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:... | |
| 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... | |
| 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... | |
| Euclides - 1849 - 108 pages
...BAED be not greater than a semicircle, let BAD, BED be angles in it; these also AE PROP. XXII. THEOR. **The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles.** LetABCobe a quadrilateral figure in the circle ABCD; any two of its opposite angles are together equal... | |
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