| Robert Simson - Geometry - 1838 - 434 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 - 1838 - 264 pages
...straight lines which, with another straight line falling upon them, make the interior angles on nt . **the same side less than two right angles, will meet* '- *' together if continually** prolonged ; therefore the straight lines AB, CD if prolonged will meet: but they never meet, since... | |
| Euclides - 1841 - 378 pages
...than the angles BGH, GHD; but * is. 1. the angles AGH, BGH are together equal* to two right angles; **therefore the angles BGH, GHD are less than two right...interior angles on the same side less than two right** * 12 Ax. angles meet,* if far enough produced; therefore the straight lines AB, CD, if produced far... | |
| Euclides - 1842 - 320 pages
...are 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 (5. Post.) together if continually produced; therefore the straight lines AB, CD, if produced... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...to two right angles : wherefore the angles BGH, GHD are less than two right angles. But (I. ax. 12) **those straight lines, which with another straight...angles on the same side less than two right angles,** meet together, if continually produced : therefore the straight fines AB, CD, if produced far enough,... | |
| Euclid - Geometry - 1845 - 218 pages
...angle AGH is greater than the angle GHD, add to each of them the angle BGH ; therefore the angles AGH, **falling upon them, make the interior angles on the same side less than two right angles,** do meetJ together if con- I « AX. tinually produced ; therefore the straight lines AB, CD, if produced... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...greater than the angles BGH, GHD; but the angles AGH, BGH are equal (i. 13.) 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 (Ax. 12.) together if continually produced; therefore the straight lines AB, CD, if produced... | |
| Charles Davies - Trigonometry - 1849 - 384 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 EFmeet the two lines CD, IH, making the... | |
| Euclides - 1852 - 152 pages
...greater than the angles BGH, GHD; but the angles AGH, BGH are equal* to two right angles; • xiii. i **therefore the angles BGH, GHD are less than two right...angles on the same side less than two right angles,** do meet together if continually produced; therefore the straight lines AB, CD, if produced far enough,... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...obtuse angles. PROPOSITION XXI. THEOEEM. If two straight lines meet a third line, raaking tlie sum of **the interior angles on the same side less than two right angles^** the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making... | |
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