 | Euclides - 1884 - 214 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 finite straight line. GIVEN... | |
 | National cyclopaedia - 1884 - 642 pages
...straight lines, so as to make the two interior angles on the same side of it, taken j together, less than two right angles ; these straight lines, being...the angles, which are less than two right angles." This is by no means self-evident, for what is the definition of parallel straight lines given by Euclid... | |
 | Stewart W. and co - 1884 - 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...are the angles which are less than two right angles. Show that the following definitions are incomplete : — " Of quadrilateral figures, a square has all... | |
 | Stewart W. and co - 1884 - 272 pages
...straight lines, •o 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. To describe an equilateral triangle on a given finite straight line. Let AB be the given... | |
 | 1884 - 434 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...meet upon that side on which are the angles which arc less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates... | |
 | Euclides - 1884 - 182 pages
...less than two right angles, these straight lines,being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. EXAMINATION XVI. (Recapitulatory.) 1. What sort of facts are called axioms ? 2. If a fact be very easy... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made... | |
 | Mathematical association - 1884 - 146 pages
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made... | |
 | W. J. C. Miller - Mathematics - 1885 - 154 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...the angles which are less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates the truth of it by the aid of five... | |
 | Mathematics - 1885 - 150 pages
...interior angles on the same side of it, taken together, less than two right angles, these straight linos being continually produced, shall at length meet upon...the angles which are less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates the truth of it by the aid of five... | |
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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... 
