 | Robert Simson - Trigonometry - 1806 - 546 pages
...are less than 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 produced... | |
 | Euclides - 1816 - 588 pages
...are less than 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 See the... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...which, with another straight line falling upon them, make the interior angles on the same side leas than two right angles, do meet (12 ax.)* together...meet; but they never meet, since they are parallel ' . ; "See the notes to this proposition. E ** \ \ 'by the hypothesis; therefore the angle A'GH is... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...are less than 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, Robert Simson - Geometry - 1829 - 548 pages
...two right angles: but straight lines which with another straight line make the interior angles upon the same side less than two right angles, do meet (12. Ax.) if produced far enough : therefore HB, FE shall meet, if produced ; let them meet in K, and through... | |
 | Euclides - 1834 - 518 pages
...are less than 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; * 12 A*, therefore the straight lines AB, CD, if produced... | |
 | Euclid - 1835 - 540 pages
...are less than 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
...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 two right angles, the two lines will meet if sufficiently produced. Letthe line EF meet the two lines CD, IH, making... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...line falling upon them, make the interior angles on the same side less that two right angles, meet together, if continually produced ; therefore the straight lines AB, CD, if produced far enough, will meet: but (I. def. 11.) they never meet, since (hyp.) they are . * It is easy to prove that if... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...two right angles: but straight lines which with another straight line make the interior angles upon the same side less than two right angles do 'meet (12. Ax.) if produced far enough : therefore EB, FD shall meet, if produced towards B, D: let them meet in G,... | |
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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. 
