| 1798 - 618 pages
...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... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " **If a straight line meets two straight lines, so as...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 - Euclid's Elements - 1806 - 320 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.'... | |
| Euclid - Geometry - 1810 - 518 pages
...cannot enclose 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 I." a 3. I'Mtulate. b 9. Post. PROPOSITION I. PROBLEM. Book I.... | |
| John Mason Good - 1813 - 722 pages
...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... | |
| Dugald Stewart - Psychology - 1814 - 564 pages
...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... | |
| Euclides - 1814 - 558 pages
...Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct angles are equal to one another. XII. " **If a straight line 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... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...GHC together less than two right angles, KL and CD will meet towards K and C, or on that side of EF **on which are the angles which are less than two right angles.** For if not, KL and CD are either parallel, or meet towards L and D ; but they are not parallel, for... | |
| Sir John Leslie - Geometry - 1817 - 454 pages
...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 right angles.)** Using the notation of your book, his assumption is* that C = if : (A, B, c) : Now, this means that... | |
| John Playfair - 1819 - 317 pages
...Axioms, und that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " **if a straight line meets two " straight lines, so...the angles which are less than two right angles."** Instead of this proposition, which though true, is by no means selfevident ; another that appeared... | |
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