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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. "
The first two books of the Elements of Euclid, with additional figures ... - Pagina 51
door Euclides - 1852
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...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...meet* together if continually produced ; therefore • 12. •. the straight lines AB, CD, if produced far enough, shall meet ; Seethe but they never...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...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 ;...two right angles, do meet* together if continually * ig AX.' produced; therefore the straight lines AB, CD, if produced See the far enough, shall meet...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 pagina’s
...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...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pagina’s
...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....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pagina’s
...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 on the same side less than two right angles, will meet * together if continually produced; therefore the straight lines AB, CD, if produced far...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 pagina’s
...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...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 pagina’s
...greater than the angles BGH, GHD; but the angles AGH, a 13. 1. BGH are equal" 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 See the straight lines AB, CD,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pagina’s
...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 se the straight lines AB, CD,...
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