| John Mitchell Mason - Presbyterian Church - 1849 - 604 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... | |
| Thomas Brown, James Parkinson Boyle - Philosophy - 1849 - 352 pages
...If then we can only enunciate, but not conceive, a general proposition, we can never be certain that **the three angles of every triangle are equal to two right angles,** until it has been demonstrated of triangles of every variety of figure ; and before this can be done,... | |
| John Fry Heather - Scientific apparatus and instruments - 1849 - 208 pages
...two angles H i A and '-A HA i ; and because the vertical angles A v H and iv E are equal, and that **the three angles of every triangle are equal to two right angles,** therefore the two angles VIE and s EH are, together, equal to the two angles AH v and HA i, and therefore... | |
| Edward Beecher - Baptism - 1849 - 368 pages
...not a head for the philosophy of language : and I say this with as little bad feeling as I say that **the three angles of every triangle are equal to two right angles."** This is certainly an illustrious specimen of genuine Attic Salt. Dr. Carson, no doubt, has monopolized... | |
| Samuel Bailey - Logic - 1851 - 254 pages
...fallible, or that the three angles of the triangle before me are together equal to two right angles, **because the three angles of every triangle are equal to two right angles. The** dictum, then, is obviously one of those selfevident maxims which we have above described, and it may... | |
| William Walton - Coordinates - 1851 - 446 pages
...four points, and of which the major axes are parallel or perpendicular to one another : to prove that **any two of its opposite angles are together equal to two right angles.** 7. Two concentric ellipses, which have their axes in the same directions, intersect, and four common... | |
| Popular educator - 1852 - 848 pages
...reason of this construction is plain, .. ~~r from Prop. XXXII., Book I., Euclid, which asserts that **the three angles of every triangle are equal to two right angles;** and from Prop. XIII., Book I., which asserts that the anglet which one straight line mates with anoiJier... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...PROPOSITION XXII. THEOR. The opposite angles of any quadrilateral figure inscriled in a circle, are together **equal to two right angles. Let ABCD be a quadrilateral...because the three angles of every triangle are equal** (32. I.) to two riffht angles, the three angles of the triangle CAB, viz., the angles CAB, ABC, BCA... | |
| Euclides - 1853 - 146 pages
...XXII. THEOREM. The opposite angles of any quadrilateral figure inscribed in a circle, are together **equal to two right angles. Let ABCD be a quadrilateral...opposite angles are together equal to two right angles.** 1) Join AC, BD; and because the three angles of every triangle are equal (I. 32.) to two right angles,... | |
| Euclides - 1853 - 176 pages
...are together equal to two right angles. LET ab С d be a quadrilateral figure in the circle ab С d ; **any two of its opposite angles are together equal to two right angles. Join** a С, bd ; and because the three angles of every triangle are equal (i. 32) to two right angles, the... | |
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