| Robert Simson - Trigonometry - 1806 - 518 pages
...the angles BGH, GHD ; but the angles AGH, BGH are equal a to two right angles ; therefore a 13. 1. **the angles BGH, GHD are less than two right angles...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 - 1814 - 558 pages
...angles ; therefore the . 13. i. angles BGH, GHD, are less than two right angles; but those straight hnes **which, with another straight line falling upon them,...angles on the same side less than two right angles,** do meet* together it' continually * 12 Ax. produced ; therefore the straight lines AB, CD, if produced... | |
| Euclides - 1816 - 528 pages
...angles BGH, GHD; but the angles AGH, BGH, are equal a to two right angles ; therefore the • 13. 1. **angles BGH, GHD, are less than two right angles ;...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 - 372 pages
...are less than 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 - 513 pages
...are greater f than the angles BGH, GHD : but the angles AGH, BGH are equal * to two right angles ; **therefore the angles BGH, GHD are less than two right...angles, will meet * together if continually produced;** therefore the straight lines AB, CD, if produced far enough, will meet : but they never meet, since... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...greater than the angles BGH, GHD ; but the angles AGH, BGH are equal (13. 1.) to two right angles ; **therefore" the angles BGH, GHD are less than two right...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... | |
| Euclides - 1834 - 518 pages
...the angles BGH, GHD : but the angles t AGH, BGH are equal * to two right angles ; therefore the * IS. **angles BG.H, GHD are less than two right angles :...angles, will meet * together if continually produced;** * 12 A*, therefore the straight lines AB, CD, if produced far enough, See lhe \ will meet : but they... | |
| Euclid - 1835 - 540 pages
...greater than the angles BGH, GHD; but the angles AGH, a 13. 1. BGH are equal a to two right angles ; **therefore the angles BGH, GHD are less than two right...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 - Geometry - 1837 - 410 pages
...to two right angles ; therefore the angles BGH, GHD are less than two right angles. But (I. ax. 12.) **those straight lines which, with another straight...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,... | |
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