That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. Elements of Geometry and Trigonometry - Page 38by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
| Robert Simson - Trigonometry - 1806 - 546 pages
...two right angles ; but those straight lines which, with another straight line falling upon them, make **the interior angles on the same side less than two right angles,** do meet* together if continually produced ; therefore • 12. •«. the straight lines AB, CD, if... | |
| Euclides - 1816 - 588 pages
...two right angles ; but those straight lines which, with another straight line falling upon them, make **the interior angles on the same side less than two right angles,** do meet* together if continually * ig AX.' produced; therefore the straight lines AB, CD, if produced... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...two right angles ; but those straight lines which, with another straight line tilling upon them, make **the interior angles on the same side less than two right angles,** do meet (12. Ax.) together if continually produced; therefore the straight lines AB, CD, if produced... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...two right angles : but those straight lines which, with another straight line falling upon them, make **the interior angles on the same side less than two right angles,** will meet * together if continually produced; therefore the straight lines AB, CD, if produced far... | |
| Euclid - 1835 - 540 pages
...two right angles ; but those straight lines which, with another straight line falling upon them, make **the interior angles on the same side less than two right angles,** * 12. ax. do meet * together if continually produced ; therefore the s«e the straight lines AB, CD,... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...obtuse angles. PROPOSITION XXI. THEOREM. If a straight line meet two other straight lines, making the **sum of 'the interior angles on the same side less...the two lines will meet if sufficiently produced.** Letthe line EF meet the two lines CD, IH, making the sum of the Interior angles OGI1, j^ GOD, less... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...obtuse angles. PROPOSITION XXI. THEOREM. If a straight line meet two other straight lines, making the **sum of the interior angles on the same side less than...lines will meet if sufficiently produced. Let the** line EFmeet the two lines CD, IH, making the sum ef the interior angles OGH, GOD, less than two right... | |
| Adrien Marie Legendre - Geometry - 1838 - 372 pages
...CD, III, making the sum ef the interior angles OGI1, GOD, less than two right angles : then will IH **and CD meet if sufficiently produced. For, if they do not meet they are parallel** (Def.12.). But they are not parallel, for if they were, the sum of the interior angles OGH, GOD, would... | |
| Euclides - 1842 - 316 pages
...two right angles; but those straight lines which, with another straight line falling upon them, make **the interior angles on the same side less than two right angles,** do meet (5. Post.) together if continually produced; therefore the straight lines AB, CD, if produced... | |
| Euclides - 1845 - 546 pages
...two right angles ; but those straight lines which, with another straight line falling upon them, make **the interior angles on the same side less than two right angles,** will meet together if continually produced ; (ax. 12.) therefore the straight lines AB, CD, if produced... | |
| |