 | 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... | |
 | 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.... | |
 | 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 ;... | |
 | Euclides - 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Presbyterian Church - 1844 - 484 pages
...prospect, before a dark cave, or a dreadful precipice. It is not more evident to the mathematician, that the three angles of every triangle are equal to two right angles, than it is to all mankind, that justice and mercy excel tyranny and oppression. 6. Another desolating... | |
 | Robert Halley - 1844 - 620 pages
...weak. He avows in his severest passages that he has as little angry feeling, as when he says, that " the three angles of every triangle are equal to two right angles ;" but how much more Christian-like may be this cool, apathetic mode of vituperation, the sardonic... | |
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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. 
