| Charles Pettit McIlvaine - Apologetics - 1832 - 534 pages
...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 phantasms; but... | |
| Euclides - 1834 - 518 pages
...ABCD be a quadraliteral figure 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** tri• 32. 1. angle are equal * to two right angles, the three angles of the triangle CAB, viz. the... | |
| Euclid - 1835 - 540 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...Join AC, BD; and because the three angles of every** tria32. 1. angle are equal" to two right angles, the three angles of the triangle CAB, viz. the angle... | |
| 1835 - 582 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; but... | |
| John Playfair - Geometry - 1836 - 148 pages
...PROP. XIV. THEOR. The opposite angles of any quadrilateral figure described in a circle, are together **equal to two right angles. Let ABCD be a quadrilateral...because the three angles of every triangle are equal** (5. 2.) to two right angles, the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA are... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...angles of any quadrilateral figure described in a circle, are together equal to two right angles, t , **Let ABCD be a quadrilateral figure in the circle ABCD...opposite angles are together equal to two right angles,** a 21. 3. Join AC, BD. The angle CAB is equal a to the angle CDB, because they are in the same segment... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...XXII. THEOREM. The opposite angles of any quadrilateral figure described in a circle, are together **equal to two right angles. Let ABCD be a quadrilateral...angles of every triangle are equal to two right angles** (1. 32), the three angles of the triangle CAB, namely, the angles CAB, ABC, BCA, are equal to two right... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...XXII. THEOR. THE opposite angles of any quadrilateral figure described in a circle, t are together **equal to two right angles. Let ABCD be a quadrilateral...are together equal to two right angles. Join AC, BD.** Then (III. 21.) the angles CAB.CDB are equal, because they are in the same segment BADC; and the angles... | |
| John Playfair - Geometry - 1837 - 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... | |
| Christian, Thomas Jackson - 1837 - 314 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; but... | |
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