| 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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