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If a straight line meets 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 Elements of Euclid [book 1] for beginners, by J. Lowres - Page 10
by Euclides - 1852

## Science, Volume 20

John Michels (Journalist) - Science - 1892 - 448 pages
...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 angles 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...

## Science, Volume 20

John Michels (Journalist) - Science - 1892 - 444 pages
...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 angles 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...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...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...

## The Monist, Volume 3

Paul Carus - Electronic journals - 1893 - 722 pages
...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 angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles...

## Journal of the Michigan Schoolmasters' Club, Volume 22; Volumes 31-40

Michigan Schoolmasters' Club - Education - 1894 - 556 pages
...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...

## A History of Elementary Mathematics: With Hints on Methods of Teaching

Florian Cajori - Mathematics - 1896 - 338 pages
...other, namely, in proving proposi1 The parallel-postulate is : " If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles...

## Studies in Deductive Logic: A Manual for Students, by W. Stanley Jevons

William Stanley Jevons - Logic - 1896 - 344 pages
...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...

## Mathematical Essays and Recreations

Hermann Schubert - Circle-squaring - 1899 - 163 pages
...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 angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles...