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" This holds of plane rectilineal angles among themselves, as also of plane surface angles: (te, dihedral angles.) 7. Two straight lines can not intersect, if a third cuts them at the same angle. 8. In a rectilineal triangle equal sides lie opposite equal... "
Geometrical Researches on the Theory of Parallels - Side 2
av Nikolaĭ Ivanovich Lobachevskiĭ - 1891 - 50 sider
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Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola - 1955 - 452 sider
...equal. This holds of plane rectilineal angles among themselves, as also of plane surface angles: (ie, dihedral angles.) 7. Two straight lines can not intersect,...than either of the other sides, and the two angles adtacent to it are acute. 10. Rectilineal triangles are congruent if they have a side and two angles...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 292 sider
...equal. This holds of plane rectilineal angles among themselves, as also of plane surface angles: (ie, dihedral angles.) 7. Two straight lines can not intersect...sides, and the two angles adjacent to it are acute. From here follow the other theorems with their explanations and proofs. 16. All straight lines which...
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Mathematical Papers

William Kingdon Clifford - 2007 - 768 sider
...sides, and conversely. 9. Greater angle opposed to greater side. In right-angled triangle, hypothennse is greater than either of the other sides, and the two angles next it are acute. 10. Equalities of triangles. 11. A line perpendicular to two other lines not in...
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