 | Euclides - 1846 - 292 pages
...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 lines, being...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
...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...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
...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...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
...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...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
...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...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
...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...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... | |
 | Euclides - 1852 - 48 pages
...less than two right angles, these two right lines being continually induced, shall at length meet on that side on which are the angles, which are less than two right angles. EXPLANATIONS OF CONTBACTIONS. Ax. for Axiom. Const. „ Construction. Cor. „ Corollary. Def. „... | |
 | Euclides - 1853 - 146 pages
...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...the angles which are less than two right angles." PROPOSITION I. — PROBLEM. To describe an equilateral triangle upon a given finite straight line.... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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...are the angles which are less than two right angles. PROPOSITIONS. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight... | |
 | Euclides - Geometry - 1853 - 176 pages
...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...are the angles which are less than two right angles. PROPOSITION I. — PROBLEM. To describe an equilateral triangle upon a given finiie straight line.... | |
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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... 
