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" ANY two angles of a triangle are together less than two right angles. "
The Elements of Euclid - Side 20
av Euclid - 1838 - 416 sider
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The Irish Law Times and Solicitors' Journal, Volum 38

1904
...another, makes with it are either both right angles, or their sum is equal to two right angles. 2. Any two angles of a triangle are together less than two right angles. 3. Through a given point draw a right line parallel to a given right line. 4. Construct a parallelogram...
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Foundations and Fundamental Concepts of Mathematics

Howard Whitley Eves - 1997 - 344 sider
...lines are equaL 16. An exterior angle of a triangle is greater than either remote interior angle. 17. Any two angles of a triangle are together less than two right angles. 18. In a triangle the greater side is opposite the greater angle. 19. In a triangle the greater angle...
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Using History to Teach Mathematics: An International Perspective

Victor J. Katz - 2000 - 261 sider
...geometry without the parallel postulate. 21 In particular, Saccheri used Elements 1-17 which states that any two angles of a triangle are together less than two right angles, a result which depends on the ability to extend a straight line to any given length. Euclid explicitly...
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ELEMENTS OF GEOMETRY:

JOHN PLAYFAIR
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The Elements of Geometry: Or, The First Six Books, with the Eleventh and ...

Euclid - 1859 - 212 sider
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The Elements of Euclid: Viz. the First Six Books Together with the Eleventh ...

Euclides, A. Robertson - 1999 - 498 sider
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Proceedings of the Cambridge Philosophical Society: Mathematical ..., Volum 23

Cambridge Philosophical Society - 1927
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The Surveyor, Volumer 21-22

1908
...to the Committee. GEOMETRY AND ALGEBRA. Monday, 23rd March, 1908. 9.30 am to 12.30 pm J. Prove that "Any two angles of a triangle are together less than two right angles"; and show that only one perpendicular can be drawn to a straight line from a given point without it....
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The Elements of Plane Geometry

Euclid - 1845 - 262 sider
...produced to D ; hence, show that each of the angles A, B of the triangle is an acute angle. 4. Prove that any two angles of a triangle are together less than two right angles by joining the vertex to any point in the base. 5. If two angles of a triangle be equal, prove that...
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Manual of the Public Examinations Board

University of Adelaide. Public Examinations Board - 1919
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