| Sir John Leslie - 1820 - 482 Seiten
...less than two right angles, these straight lines, being continually produced, will at length meet on **that side, on which are the angles which are less than two** rig-fat angles.) Using the notation of your book, his assumption is, that C = $ : (A, B, c) : Now,... | |
| Euclid, Robert Simson - 1821 - 514 Seiten
...cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet **two straight lines, so as to make the two " interior...than two right angles, these straight lines being** continual" ly produced, shall at length meet upon that side on which " are the angles which are less... | |
| Dugald Stewart - 1821 - 350 Seiten
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other **straight lines, so as to make :' the two interior angles on the same side** together equal to tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight... | |
| Euclid - 1822 - 179 Seiten
...internal angles on the same side of it gee ff. taken together less than two right angles, these right **lines being continually produced, shall at length...the angles, which are less than two right angles.** u angles • 12 V' Elements of Euclid. Fig. 12. PROPOSITION 1. PROBLEM. To describe an equilateral... | |
| Peter Nicholson - 1825 - 372 Seiten
...part. 10. Twfc«».^^^ lines cannot inclose a space. 11. AH right angles are equal to one another. 12." **If a straight line meets two straight lines so as...meet upon that side on which are the angles which are** lest than two right angles." Proposition I. Problem. To describe an equilateral triangle upon a given... | |
| Euclid, John Playfair - 1826 - 326 Seiten
...before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet **two "straight lines, so as to make the two interior...than two right angles, these straight " lines being** eontinually produeed, shall at length meet upon that *' side on whieh are the angles whieh are less... | |
| Robert Simson - 1827 - 513 Seiten
...cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet **two straight lines, so as to " make the two interior...the angles " which are less than two right angles."** See the notes on Prop. 29. of Book 1. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon... | |
| John Radford Young - 1827 - 208 Seiten
...subjoined the following corollary, viz., " It follows from this, that if two lines are cut by a third line, **so as to make the two interior angles on the same side** less than two right angles, these lines produced will meet, and form a triangle ;" from a slight examination,... | |
| Timothy Walker - 1829 - 158 Seiten
...greater than its part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal. 12. **If a straight line meets two straight lines so as...continually produced, shall at length meet upon that side** upon which are the angles which are less than two right angles. The last of these has been added by... | |
| Timothy Walker - 1829 - 129 Seiten
...greater than its part. 10. Two straight lines cannot inclose a space. II. All right angles are equal. 12. **.If a straight line meets two straight lines so as...angles on the same side of it taken together, less** tkau two right angles, these straight lines being continually produced, shall at length meet upon that... | |
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