| Dugald Stewart - 1829
...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 right angles, these two straight lines, though indefinitely produced, will never... | |
| Dugald Stewart - 1829
...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 right angles, these two straight lines, though indefinitely produced, will never... | |
| John Playfair - 1832 - 333 sider
...before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meet **two " straight lines, so as to make the two interior...the angles which are less than two right angles."** Instead of this proposition, which, though true, is by no means selfevident; another that appeared... | |
| John Radford Young - 1833 - 216 sider
...proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. ; If a straight line meet **two straight lines so as to make the two interior angles on the same side** \T> HAUM T> of it, taken together, less than two right angles, these straight lines being continually... | |
| Euclid - 1833 - 183 sider
...equal to one another. 12. If a right line meet two right lines, so as to make See N. .the two internal **angles on the same side of it taken together less than two right angles ; these** right lines, being continually produced, shall at length meet upon that side on which are the angles,... | |
| Euclid - 1835 - 513 sider
...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...the angles which are less than two right " angles.** See the notes on Prop. 29. of Book I." PROPOSITION I. PROBLEM. To describe an equilateral triangle... | |
| Robert Simson - 1835 - 513 sider
...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...the angles which are less than two right " angles.** See the notes on Prop. 29. of Book I." PROPOSITION I. PROBLEM. To describe an equilateral triangle... | |
| John Playfair - 1835 - 316 sider
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " **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, these straight lines being continually... | |
| John Playfair - 1836 - 114 sider
...same distance from each other (Cor. 11. 2.), BC will then meet AB. Therefore, if a straight line meet **two straight lines, so as to make the two interior...that side on which are the angles, which are less** thau two right angles. Which was to be proved. i PROP. XIV. THEOR. Parallelograms of equal base and... | |
| John Playfair - 1836 - 311 sider
...Axioms, and 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 as to make the two** inte" rior angles on the same side of it taken together less " than two right angles, these straight... | |
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