| 1853 - 618 pages
...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... | |
| New York (State) School for the deaf, White Plains - 1854 - 936 pages
...triangle be produced, the exterior angle will be equal to the two interior and opposite angles ; and **the three angles of every triangle are equal to two right angles."** DBC Let ABC be a triangle, in which the side BC is produced towards D, then will the exterior angle... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...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,... | |
| Frederick Augustus Griffiths - Artillery drill and tactics - 1854 - 406 pages
...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... | |
| Euclides - 1855 - 262 pages
...are together equal to two right angles. Let AB СD be a quadrilateral figure in the circle AB СD. **Any two of its opposite angles are together equal to two right angles. Join** A С and B D. The angle СAB is equal to the angle СDB (III. 21), because they are in the same segment... | |
| Euclides - 1856 - 168 pages
...quadrilateral figure inscribed in a circle are together equal to two right angles. Let A BCD (Fig. 50) **be a quadrilateral figure in the circle ABCD, any...angles are together equal to two right angles. Join AC,** DB ; and take the angles ADB, BDC, into which any of the angles AD C is divided by the line D B. Then... | |
| Jaime Luciano Balmes - Philosophy - 1856 - 568 pages
...say, to a little more or less, but never be perfect exactness. Consequently we could not assert that **the three angles of every triangle are equal to two right angles** ; all that we could say would be, that so far as our experience goes, we have observed that in all... | |
| Rev. Alexander Carson - Baptism - 1857 - 572 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.** PASSAGES OF SCRIPTURE QUOTED OR REFERRED TO Chap. Ver. Page GENESIS, i. 26 .... 147 lii. 1 218 Chap.... | |
| Thing - Literature - 1857 - 408 pages
...; he proceeded till he arrived at a proposition similar to the thirty-second of Euclid, viz., that **the three angles of every triangle are equal to two right angles.** While engaged with this theorem, he was surprised by his father, who, on learning the object of his... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...the sixth 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 OA*B, OBA are together equal to two thirds of two B^ right angles ; and since AO is equal... | |
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