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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: For the Use of Academies as Well as Private Tuition - Page 2
by Charles Hutton - 1812
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Elementary Mechanical Drawing: Theory and Practice, with Chapters on ...

Charles William Weick - Geometrical drawing - 1925 - 276 pages
...between 90° and 180°. TRIANGLES 320. A triangle is any plane figure bounded by three straight lines. The sum of the three angles of any triangle is equal to 180°. If one of the angles is 90°, or a right angle, the sum of the other two is 90°. In radian...
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The New Mathematics, Book 2

John Charles Stone - Mathematics - 1926 - 344 pages
...formed by all three angles of the triangle? By trying this experiment with any triangle, you will find that The sum of the three angles of any triangle is equal to 180 degrees. 12. How many degrees in each angle of an equilateral triangle ? (The angles are all equal.)...
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Biennial Report of the State Superintendent of Public Instruction ..., Volume 12

Education - 1893 - 650 pages
...hypothesis. 2. Write two postulates and two axioms. 3. Define chord, segment, sector, polygon. 4. Demonstrate that the sum of the three angles of any triangle is equal to two right angles. 5. Demonstrate that any angle formed by a tangent and a chord is measured by one-half the intercepted...
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The Pythagorean Sourcebook and Library: An Anthology of Ancient Writings ...

Kenneth Sylvan Guthrie, David R. Fideler - Philosophy - 1987 - 374 pages
...parallel lines, which they used for the purpose of establishing by a general proof the proposition that the sum of the three angles of any triangle is equal to two right angles. This latter proposition they again used to establish the well-known theorems about the sums of the exterior...
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Society, Scientists and the Spirit

Ranan Banerji Ph.D. - Science - 2006 - 145 pages
...this and some other initial axioms he could deduce many facts about geometrical figures (for example, "the sum of the three angles of any triangle is equal to the sum of two right angles"). Now one of his axioms (about parallel lines) did not seem very obvious...
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Euclid in Greek, Volume 1

Euclid - Euclid's Elements - 1920 - 304 pages
...and the other two angles must in either case be acute. This follows from the fact (proved in i, 32) that the sum of the three angles of any triangle is equal to two right angles. Euclid introduces them as 'parallelogrammic areas or, more exactly, 'parallelogram areas' (ĦrapaXXrjXo-fjuLifji,!...
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Van Nostrand's Engineering Magazine, Volume 29

Engineering - 1883 - 562 pages
...opposite ; and the sum of the lesser angles of each, being each equal to a right angle, it follows that the sum of the three angles of any triangle is equal to two right angles. Thus are all of the fundamental propositions of geometry rigorously demon; strated without the aid...
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The North American Review, Volume 99

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - American fiction - 1864 - 658 pages
...offered solution. * Kritik dr Vern., p. 32. For an illustration, let the following theorem be taken : " The sum of the three angles of any triangle is equal to two right angles." We draw or conceive a particular triangle for the sake of the demonstration ; and, having gone through...
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Calendar

University of St. Andrews - 1904 - 790 pages
...The exterior angle of a triangle is equal to the sum of the two interior and opposite angles ; and the sum of the three angles of any triangle is equal to two right angles. The three larger angles of a quadrilateral are respectively twice, four times and five times the least....
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