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" If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 4
von Euclides - 1853 - 147 Seiten
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Science, Band 20

1892
...axiomatic.1 This is the axiom of parallel?, which reads as follows : — " If a straight line meet two straight lines so as to make the two interior...on the same side of it taken together less than two right-angles, these straight lines, being continually produced, shall at length meet oh that side on...
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Science, Band 20

1892
...axiomatic.1 This id the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to make the two interior...on the same side of it taken together less than two right-angles, these straight lines, being continually produced, shall at length meet on that side on...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 Seiten
...straight lines is based upon his twelfth Axiom, which we here repeat. AXIOM 12. If a straight line cut two straight lines so as to make the two interior angles on the same side of it together less than two right angles, these straight lines, being continually produced, will at length...
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The Monist, Band 3

Paul Carus - 1893
...which coincide with one another are equal to one another. Eleventh axiom : If a straight line meet two straight lines so as to make the two interior...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. Twelfth axiom : Two straight...
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Journal of the Michigan Schoolmasters' Club, Band 22;Bände 31-40

Michigan Schoolmasters' Club - 1894
...any center with any radius. 4. That all right angles are equal. 6. If a straight line meet two other straight lines so as to make the two interior angles on the same side of it together less than two rig~ht angles, these two straight lines being continually produced shall at...
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A history of elementary mathematics

Florian Cajori - 1896 - 304 Seiten
...relatively to each other, namely, in proving proposi1 The parallel-postulate is : " If a straight line meet two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles." In the various editions...
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Studies in Deductive Logic: A Manual for Students, by W. Stanley Jevons

William Stanley Jevons - 1896 - 304 Seiten
...Euclid's (so-called) twelfth axiom — If a straight line meet two straight lines, so as to make the interior angles on the same side of it taken together less than two right angles, those straight lines being continually produced shall at length meet upon that side on which are the...
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MATHEMATICAL ESSAYS AND RECREATIONS

HERMANN SCHUBERT - 1899
...Magnitudes which coincide with one another are equal to one another. Eleventh axiom: If a straight line meet two straight lines so as to make the two interior...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. Twelfth axiom: Two straight...
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The Elements of Plane Geometry

Charles Austin Hobbs - 1899 - 240 Seiten
...exterior angles are parallel. Proposition 32. Theorem. 43. If two straight lines are cut by a transversal so as to make the two interior angles on the same side of the transversal supplementary, the two straight lines are parallel. Consult Prop. 4 and Prop. 30. COB....
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 Seiten
...straight lines is based upon his twelfth Axiom, which we here repeat. AXIOM 12. If a straight line cut two straight lines so as to make the two interior angles on the same side of it together less than two right angles, these straight lines, being continually produced, will at length...
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