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 Bøker Bok 111–120 av 168 på ANY two angles of a triangle are together less than two right angles.
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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## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

EUCLID. - 1883 - 96 sider
...on the base must fall without the triangle, towards the side on which is the obtuse angle. PROP. 17. THEOR. Any two angles of a triangle are together less than two right angles. Given A ABC. To prove any two of its angles, as LB + L ACB, < 2 Lr-s. Produce BC to D. •: L ACD >...
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## Theories and Criticisms: Being Brief Essays on Metaphysical and Other Subjects

J. McD. Scott - 1883 - 94 sider
...shall, if produced, meet upon that side. This, it will be seen, is the converse of the proposition, that any two angles of a triangle are together, *less than two right angles. Neither postulate nor axiom is needed but once ; namely, to prove that lines which are parallel to...
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## Syllabus of plane geometry, books 1-3, corresponding to Euclid ..., Bøker 1-6

Mathematical association - 1883
...is produced, the exterior angle is greater than either of the interior opposite angles. THEOR. 10. Any two angles of a triangle are together less than two right angles. COR. 1. If a triangle has one right angle or obtuse angle, its remaining angles are acute. COR. 2....
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...or theorem; as for example, To describe an equilateral triangle on a given finite straight line, or Any two angles of a triangle are together less than two right angles. After the general enunciation follows the discussion of the proposition. First, the enunciation is...
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## Elements of geometry, containing books i. to vi.and portions of books xi ...

James Hamblin Smith - 1883
...given line ; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angleg. c jo Let ABC be any A . Then must any two of its L s be together less than two rt. L s. Produce...
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## The elements of plane geometry, Volum 1

Mathematical association - 1884
...of the angles of the triangle FBC is equal to the sum of the angles of the triangle ABC. TIIKOR. 10. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle : then shall any two of its angles be together less than two right angles. Produce BC to...
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## The Elements of Plane Geometry ...

...of the angles of the triangle FBC is equal to the sum of the angles of the triangle ABC. THROB. 10. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle : then shall any two of its angles be together less than two right angles. Produce BC to...
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## Relfe brothers' Euclid sheets, propositions 1-26, Bok 1

Euclides - 1884
...SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XVII. Any two angles of a triangle are together less than two right angles. Let be any triangle. Then any two of its angles together shall be less than two right angles. Produce any...
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## An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...by those sides equal to one another, they shall also have their bases or third sides equal. (8) 8. Any two angles of a triangle are together less than two right angles. (8) 9. The opposite sides and angles of a parallelogram are equal to one another. (9) 10. If two isosceles...
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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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