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Bøker Bok 91100 av 187After remarking that the mathematician positively knows that the sum of the three...
" After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... "
Elements of Geometry and Trigonometry - Side 65
av C. Davies - 1867
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Biennial Report of the Superintendent of Public Instruction ..., Volumer 17-19

Washington (State). Superintendent of Public Instruction - 1904
...straight line joining their centers is the perpendicular bisector of their common chord. 6. Prove: The sum of the three angles of a triangle is equal to two right angles. 7. (a) Circumscribe a circle about a given triangle. (&) Inscribe a circle In a given triangle....
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The Presbyterian Quarterly, Volum 5

1891
...tests of other rational processes. This is true in mathematics. Thus, when once it is proven that the sum of the three angles of a triangle is equal to two right angles, no rational process can be accepted as true which in premise or conclusion contravenes this...
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Plane and Solid Geometry

George Albert Wentworth - 1904 - 473 sider
...equal angles are called homologous sides. BOOK I. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 129. Tlie sum of the three angles of a triangle is equal to two right angles. ACF Let A, B, and BCA be the angles of the triangle ABC. To prove that ZA + ZB + Z BCA = 2...
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Plane and Solid Geometry

Isaac Newton Failor - 1906 - 418 sider
...Isosceles. 1 f Acute. -{ I Oblique. Scalene. f Isosceles. v. Obtuse. 82 PROPOSITION XI. THEOREM 153 The sum of the three angles of a triangle is equal to two right angles.* HYPOTHESIS. ABC is any triangle. CONCLUSION. ZA + ZB + ZC = 2rt. A. PROOF Draw MN through...
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Exercises in Concrete Geometry: With Supplementary Discussions

David Sands Wright - 1906 - 84 sider
...the bisectors of a pair of supplementary adjacent angles meet at an angle of 90°. 5. Theorem. The sum of the three angles of a triangle is equal to two right angles. 1. How many degrees in each angle of the triangle ABC, if they are in the proportion of 1,...
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PLANE AND SOLID GEOMETRY

ISAAC NEWTON FAILOR - 1906
...Scalene. f Isosceles. fc Oblique. Acute. Scalene. f Isosceles. . Obtuse. PROPOSITION XL THEOREM 153 The sum of the three angles of a triangle is equal to two right angles.* HYPOTHESIS. ABC is any triangle. CONCLUSION. PROOF Draw MN through B II to AC, and produce...
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Introduction and books 1,2

Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
...to the bearing of these propositions upon Euclid's Postulate 5 ; and the next theorem is VII. If the sum of the three angles of a triangle is equal to two right angles, through any point in a plane there can only be drawn one parallel to a given straight line....
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A Study of Mathematical Education Including the Teaching of Arithmetic

Benchara Branford, George Parker Bidder - 1908 - 392 sider
...body of scientific theorems. Allman attributes to Thales the discovery of the two theorems — (a) The sum of the three angles of a triangle is equal to two right angles ; (&) The sides of equi-angular triangles are proportional. (Hence the basis of the theory of...
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The Journal of Philosophy, Psychology and Scientific Methods

1909
...eloquently, and we can not stifle her voice. But our intellect also tells us, and with equal force, that the sum of the three angles of a triangle is equal to two right angles, and we are unable to rebel against its authority. If we see God behind the categorical imperative,...
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New Graded Lessons in Arithmetic, Bok 8

Wilbur Fisk Nichols - 1910
...a triangle. With your protractor measure each angle. Add the sum. What is the result? 8. Learn: The sum of the three angles of a triangle is equal .to two right angles, or 180°. 9. Can you draw a triangle that shall contain an acute, an obtuse, and a right angle?...
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