| John Fry Heather - 1849 - 183 páginas
...to the 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... | |
| Thomas Brown, James Parkinson Boyle - 1849 - 352 páginas
...circumstance. 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 Mitchell Mason - 1849
...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... | |
| Edward Beecher - 1849 - 342 páginas
...has 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... | |
| Elias Loomis - 1849 - 226 páginas
...part of four right angles (Prop. II., Sch. 1), or the third part of two right angles. Also, because **the three angles of every triangle are equal to two right angles,** the two angles OAB, OBA are together equal to two thirds of two jj^—^C right angles; and since AO... | |
| Samuel Bailey - 1851
...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... | |
| Popular educator - 1852
...The 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... | |
| 1853
...there would be no moral discipline in believing religious truths, any more than there is in believing **that the three angles of every triangle are equal to two right angles, or** any other proposition in Euclid. And in making our spiritual life one of faith, God has acted in harmony... | |
| Frederick Augustus Griffiths - 1854
...radii, its sides become the sines of the opposite angles, or the cosines of the adjacent angles. 5. **The three angles of every triangle are equal to two right angles** ; hence the oblique angles of a right-angled triangle are each other-s complements. 6. The sum of the... | |
| Thomas Lund - 1854 - 362 páginas
...join OE; and let OE, or OE c produced meet the circumference in F. Then AOE is a triangle; and since **the three angles of every triangle are equal to two right angles,** and one of them in this case, viz. t OAE is a right angle, .'. each of the other two angles, tOEA,... | |
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