| Euclid, Robert Simson - Euclid's Elements - 1806 - 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, do meet*** together if continually produced ; therefore • 12. •«. the straight lines AB, CD, if produced... | |
| Euclides - Geometry - 1816 - 528 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 - Mathematics, Greek - 1821 - 516 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 - 513 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 - 516 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
...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, John Davidson - Mathematics - 1835 - 513 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 - 359 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 - Mathematics - 1837 - 390 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... | |
| Euclid - Trigonometry - 1838 - 416 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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