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The opposite angles of any quadrilateral figure described in a circle, are toe/ether 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.
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 71
by Euclid - 1845 - 199 pages

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...any quadrilateral figure described in a circle, are together equal to two right angles. * See Note. Let ABCD be a quadrilateral figure in the circle ABCD...because the three angles of every triangle are equal (32. 1.) to two right angles, the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA are...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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...in the circle ABCD; any two of its opposite angles shall together be equal to two right angles. Join AC, BD: and because the three angles of every *32....

## Tracts, Volume 1

English monthly tract society - 1838 - 640 pages
...certainty. In mathematical reasoning our knowledge is greater than our ignorance. When you have proved that the three angles of every triangle are equal to two right angles, there is an end of doubt ; because there are no materials for ignorance to work up into phantoms ;...

## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...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...in the circle ABCD; any two of its opposite angles shall together be equal to two right angles. Join AC, BD; and because the three angles of every triangle...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...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...are together equal to two right angles. Join AC, BD. The angle CAB is equal (21. 3.) to the angle CDB, because they are in the same segment BADC, and the...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...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...angles are together equal to two right angles. Join л and C, B and D ; and because the three angles of every triangle are equal (32. 1.) to two right...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...ABC, ADC are equal to two right angles ; in the same manner, the angles BAD, DCB may be shewn to be equal to two right angles. Let ABCD be a quadrilateral...opposite angles are together equal to two right angles. D, COR. 1. If any side of a quadrilateral be produced, the exterior angle will be equal to the interior...

## The British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 1844 - 688 pages
...quadrilateral be inscribable in two ellipses whose major axes are parallel or perpendicular to one another, any two of its opposite angles are together equal to two right angles. 4. A weight is supported by two pistons which are rigidly connected together, and which work in two...