 | Euclides - 1845 - 546 pages
...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, these...are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...straight lines which are in the same plane, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.^ * ln this axiom and the following,... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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,...are the angles which are less than two right angles. A proposition is something either proposed to he done, or to he demonstrated, and iseither a problem... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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,...are the angles which are less than two right angles. A proposition is something either proposed to be done, or to be demonstrated, and iseither a problem... | |
 | Euclides - 1846 - 292 pages
...straight line meets 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...upon that side on which are the angles which are less thnn two right angles; therefore EB, FD shall meet, if produced, towards B, D ; let them meet in G,... | |
 | Euclides - 1847 - 128 pages
...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,...are the angles which are less than two right angles. An Axiom is a self-evident truth, and is so called from its being worthy (d£ioc) of universal acknowledgment.... | |
 | Euclides - 1848 - 52 pages
...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...are the angles which are less than two right angles. PROPOSITIONS. PROP. I. PROBLEM. To describe an equilateral triangle upon a given finite straight line.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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, these...the angles which are less than two right angles." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...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,...shall at length meet upon that side on which are the angle* " which are less than two right angles." Instead of this proposition, which, though true, is... | |
 | Euclides - 1852 - 152 pages
...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, these...the angles which are less than two right angles." [These are truths which no person can possibly doubt, who are others besides these, but these are sufficient... | |
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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... 
