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" When you have proved that the three angles of every triangle are equal to two right angles... "
Elements of Geometry and Conic Sections - Σελίδα 101
των Elias Loomis - 1858 - 234 σελίδες
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The popular educator, Τόμοι 1-2;Τόμος 5

Popular educator - 1852 - 842 σελίδες
...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...

The Wesleyan methodist association magazine, Τόμος 16

1853 - 618 σελίδες
...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...

The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - 1854 - 406 σελίδες
...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...

Elements of geometry and mensuration

Thomas Lund - 1854 - 520 σελίδες
...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,...

Annual Report and Documents, Τόμοι 35-42

New York (State) School for the deaf, White Plains - 1854 - 936 σελίδες
...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...

Fundamental Philosophy, Τόμος 2

Jaime Luciano Balmes - 1856 - 568 σελίδες
...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...

Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 σελίδες
...center is O ; then any side as AB will be equal to the Wlius AO. Draw the radius BO. Then the angle 4.0B is the sixth part of four right angles (Prop. II.,...OA'B, OBA are together equal to two thirds of two Jf1 right angles ; and since AO is equal to BO, each of these angles is one third of two right angles....

Baptism in Its Mode and Subjects

Rev. Alexander Carson - 1857 - 572 σελίδες
...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....

Things New and Old in Religion, Science and Literature

Thing - 1857 - 408 σελίδες
...; 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...

Report of the Annual Meeting, Τόμος 27

British Association for the Advancement of Science. Meeting - 1858 - 682 σελίδες
...thereby with facility and despatch arriving at some novel and elegant conclusions. A Demonstration that the Three Angles of every Triangle are equal to Two Right Angles. By BA MURRAY. On the Surface of Centres of an Ellipsoid. By the Rev. G. SALMON, DD, MRIA LIGHT, OPTICAL...




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