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" Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. "
The first three books of Euclid's Elements of geometry, with theorems and ... - Side 17
av Euclid, Thomas Tate - 1849 - 108 sider
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The Thirteen Books of Euclib's Elements.

Euclid
...perpendiculars would form a triangle in which two angles would be right angles: which is impossible, since any two angles of a triangle are together less than two right angles. PROPOSITION 18. In any triangle the greater side subtends the greater angle. For let ABC be a triangle...
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Elementary Geometry

Olaus Henrici - 1888 - 188 sider
...angle so formed is equal to the sum of the two interior opposite angles. (Proof as above.) COB. 3. Any two angles of a triangle are together less than two right angles. COB. 4. Every triangle has at least two of its angles acute. COB. 5. If two triangles have two angles...
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A First Course of Geometry

...BCG > L ABC; but L. BCG = vert. opp. L. ACD ; 16. It follows, from the preceding proposition, that any two angles of a triangle are together less than two right angles. For, if BC be produced to D, ext. L. ACD > int. opp. L ABC, .'. L ACD + ^ACB>^ABC + ^ACB; but L ACD...
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