 | Euclides - 1838 - 264 pàgines
...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 straight...are the angles which are less than two right angles. It is readily seen that this proposition is no other than the converse of Proposition xvii., which... | |
 | Robert Simson - 1838 - 434 pàgines
...of it taken together less than "two right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right angles-. See the notes on prop. "29. of Book I." PROPOSITION I. PROBLEM. f To describe an equilateral triangle... | |
 | Euclid - 1838 - 470 pàgines
...of it taken together less than "two right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right angles. See the notes on prop. "29. of Book I." THE ELEMENTS OF EUCLID. BOOK I. PROPOSITION I. PROBLEM. To... | |
 | Euclides - 1841 - 378 pàgines
...on the same side of it, taken together, less " than two right angles, these straight lines being " produced, shall at length meet upon that side on "...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 - 1842 - 332 pàgines
...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 straight...the angles "which are less than two right angles." Instead of this proposition, which, though true, is by no means self-evident ; another that appeared... | |
 | Euclides - 1842 - 316 pàgines
...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 straight...length meet upon that side on which are the angles less than two right angles. AXIOMS. I. THINGS which are equal to the same are equal to one another.... | |
 | John Playfair - 1844 - 338 pàgines
...line meets two straight " lines, so as to make the two interior anples on the same side of it taken " together less than two right angles, these straight...length meet upon that side on which are the angles AMONG the Axioms there have been made only two alterations. The 10th Axiom in Euclid is, that " two... | |
 | Euclides - 1845 - 546 pàgines
...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 straight...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 - 1845 - 218 pàgines
...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 straight...the angles which are less " than two right angles." PROPOSITIONS. PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight... | |
 | Great Britain. Admiralty - 1846 - 128 pàgines
...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...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... | |
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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... 
