| 1798
...they meet a third line, make the alternate angles with it equal, Eu~; cljj assumée this axiom : " **If a straight line meets two straight ' lines, so as to make the two interior** angle's on the same side ' of it .less than two right angles, these straight lines, being CQniinfwtly... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...coincide with one another, that is, which exactly fill the same space, are equal to one another. Book I. **IX. * •,-.< The whole is greater than its part....than two right angles, these straight lines being** con" tinually produced, shall at length meet upon that side on " which are the angles Which are less... | |
| John Playfair - Trigonometry - 1806 - 311 pages
...Euclid is, that ' If a straight line ' meet two straight lines so as to make the two interior an' gles **on the same side of it taken together less than two...angles, these straight lines being continually produced** will, ' at length meet upon that side on which are the angles which ' are less than two right angles.'... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...strnidit line meets twu straight line*, so as to make the two interior angles on tr.e same side of ¡t **taken together less than two right angles, these straight lines being continually** produce,], shall at length meet upon that side o>> which are the angles which are less tha-i two rig'it... | |
| Euclides - 1814
...The wbok is greater dan its part. X. Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct **angles are equal to one another. XII. " If a straight...meets two straight lines, so as to make " the two** Lriterior angles on the same ade of it taken to" gether less than two right angles, these straight... | |
| Dugald Stewart - 1814
...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 two righl angles, these two straight lines, though indefinitely produced, will never... | |
| Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...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 - Psychology - 1821
...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... | |
| John Playfair - Euclid's Elements - 1826 - 320 pages
...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... | |
| John Radford Young - Geometry, Plane - 1827 - 208 pages
...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,... | |
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