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" The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Page 2
by Charles Hutton - 1811
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...adjacent angle of ACD ; A and B are the opposite interior angles. 52. Proposition XVI.— Theorem. The sum of the three angles of any triangle is equal to tiro right angles. Let ABC be a triangle. Then the B sum of its angles is equal to two right /\ angles....
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Hermathena, Volume 3

Humanities - 1877 - 626 pages
...Further, since any triangle can be resolved into two right-angled triangles, it follows immediately that the sum of the three angles of any triangle is equal to two right angles. If, then, we accept the evidence of Pamphila as satisfactory, we are forced to the conclusion that...
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A Treatise on Elementary Geometry, with Appendices Containing a Collection ...

William Chauvenet - Geometry - 1879 - 380 pages
...+ AC •we subtract AB, we shall have BC — AB<AC, otAC> BC—AB. PROPOSITION XVIII—THEOREM. 68. The sum of the three angles of any triangle is equal to two righl angles. Let ABC be any triangle; then, the sum of its three angles, A, B and C, is equal to two...
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Report of the Board of Education of the State of Connecticut to the Governor ...

Connecticut. Board of Education - 1885 - 306 pages
...sphere is measured by the circumference of one of its great circles multiplied by its diameter. IL 1. The sum of the three angles of any triangle is equal to two right angles. 2. If a straight line is divided into any two parts, the square described on the whole line is equivalent...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...interior angles on the same side of the secant line is equal to two right angles. PROPOSITION XXVI. The sum of the three angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two...
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Elementary Psychology and Education: A Textbook for High Schools, Normal ...

Joseph Baldwin - Educational psychology - 1887 - 334 pages
...three angles of this triangle is equal to two right angles ; But this is a typical triangle ; .•. The sum of the three angles of any triangle is equal to two right angles. (Give two examples, and show that a single typical case justifies a general conclusion.) 2. Deductive...
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European Schools: Or, What I Saw in the Schools of Germany, France, Austria ...

Louis Richard Klemm - Education - 1889 - 470 pages
...A very active and demonstrative French teacher, and evidently a successful one, proved to his class that the sum of the three angles of any triangle is equal to two right angles. And he did it by first cutting a triangle out of a sheet of pasteboard; then drawing a straight line...
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Greek Geometry from Thales to Euclid

George Johnston Allman - Geometry - 1889 - 266 pages
...Further, since any triangle can be resolved into two right-angled triangles, it follows immediately that the sum of the three angles of any triangle is equal to two right angles. If, then, we accept the evidence of Pamphila as satisfactory, we are forced to the conclusion that...
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Grammar of the English Sentence, and Introduction to Composition

Jonathan Rigdon - English language - 1890 - 302 pages
...sentences ; but "Columbus believed that the earth is a sphere," and " Some old mathematician proved that the sum of the three angles of any triangle is equal to two right angles," can not claim to be more than elegant examples of false syntax, notwithstanding the sanction of nearly...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...BC, (Ax. 10) Taking AC from each, AB - AC < BC, or BC > AB - AC. QED A Proposition 2O. Theorem. 97. The sum of the three angles of any triangle is equal to two right angles. Hyp. Let ABC be any A . To prove Proof. Produce AB to D, and draw BE || to AC. AB ° Then since BE...
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