| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 ; but...two right angles, do meet* together if continually** produced ; therefore • 12. •«. the straight lines AB, CD, if produced far enough, shall meet ;... | |
| Euclides - 1814
...the angles BGH, GHD; but the angles AGH, BGH, are equal3 to two right 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, make the interior angles on the same side... | |
| Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...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; but...upon them, make the interior angles on the same side** leas than two right angles, do meet (12 ax.)* together if continually produced; therefore the straight... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...BGH, GHD ; but the angles AGH, BGH are equal (13. 1.) to two right angles ; therefore the angles HGH, **GHD ; 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.... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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 : but...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
...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; but...the same side less than two right angles, do meet** (12. ax.)* together if continually produced ; therefore the straight lines AB, CD, if produced far... | |
| Euclides - 1834
...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 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 - 1835 - 513 pages
...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 ; but...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 - 1837 - 390 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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