 | Robert Simson - 1806 - 546 pagine
...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 - 560 pagine
...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 - 1821 - 514 pagine
...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 - 1825 - 1046 pagine
...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 - 1827 - 546 pagine
...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 - 1829 - 548 pagine
...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 - 518 pagine
...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 - 1835 - 540 pagine
...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 - 1836 - 394 pagine
...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 - 1837 - 410 pagine
...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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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. 
