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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 text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...the equal sides are opposite. Axiom 9. The whole is greater than its part. PROPOSITION XVII. THEOEEM. Any two angles of a triangle are together less than two right angles. GIVEN the triangle ABC ; IT is REQUIRED TO PROVE that any tioo of its angles are together less than...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...angle BCG is greater than ABC. PROP. XVII., BOOK I.— With a paper triangle show practically that any two angles of a triangle are together less than two right angles. PROP. XXII., BOOK I. — Why cannot a triangle be described of which the sides shall be respectively...
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Institutes of Logic

John Veitch - 1885 - 551 sider
...thereafter speak of the propositions expressing truths regarding them as embodying their properties — eg, any two angles of a triangle are together less than two right angles. 1 Hoblyn's Briti*h Plants, p. 7. Given our conception of a particular metal, we may add on, by observation...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 180 sider
...respects, or else the angles B and C together make up two right angles. But the angles B and C, being two angles of a triangle, are together less than two right angles. Hence the triangles ABD, ACD are equal in all respects. Therefore AB is equal to A C. PROP. XII. —...
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The Passenger from Scotland Yard

H. Freeman Wood - 1888 - 398 sider
...be produced, the exterior angle shall be greater than either of the interior opposite angles; that any two angles of a triangle are together less than two right angles; and that the greater angle of every triangle is subtended by the greater side. He had been interrupted...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 272 sider
...the exterior angle, A c D, is greater than either of the interior opposite angles, CAB and ABC. 8. Any two angles of a triangle are together less than two right angles. 9. If one side of a triangle, A c, be greater than a second, AB, the angle, ABC, opposite the first...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...equal. Ex. 21. — The three medians of an equilateral triangle are equal. PROPOSITION 17. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be a A, any two of its ^s are together less than two rt. L s. Produce BC to D. Then ext. L ACD > int....
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...by producing CB to F, it could be shown that ABF (which = CBD) > BAG. i Proposition 17. THEOREM — Any two angles of a triangle are together less than two right angles. This proposition is omitted because it is — i°, included in i. 32 : 2°, not referred to in anything...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Bok 1

James Andrew Blaikie, William Thomson - 1891
...the exterior angle thus formed shall be greater than either of the two interior opposite angles. 17. Any two angles of a triangle are together less than two right angles. 18. If one side of a triangle be greater than another side, the angle opposite to the greater side...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...produced, the exterior angle shall be greater than either of the interior and opposite angles. 17. Any two angles of a triangle are together less than two right angles. 18. The greater side of every triangle has the greater angle opposite to it. 19. The greater angle...
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