...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,...

...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...

...to 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...

...geometry ; 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...

...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. PASSAGES OF SCRIPTURE QUOTED OR REFERRED TO Chap. Ver. Page GENESIS, i. 26 .... 147 lii. 1 218 Chap....

...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...

...to their investigation practically and scientifically, 101. Angles, on infinite, 3 ; a demonstration that the three angles of every triangle are equal to two right, 4. Animals, on the presence of copper in the tissues of, 55 ; on the dispersion of domestic, in connexion...

...to their investigation practically and scientifically, 101. Angles, on infinite, 3 ; a demonstration that the three angles of every triangle are equal to two right, 4. Animals, on the presence of copper in the tissues of, 55 ; on the dispersion of domestic, in connexion...

...equal to the two angles HI A and '•A HAI; and because the vertical angles AVH and IVE 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 HAI, and therefore...

...radii, its sides become the sines of the opposite angles, or the cosines of the adjacent augles. 5. The three angles of every triangle are equal to two right angles ; hence the obilque angles of a right-angled triangle are each other's complements. 6. The sum of the...