 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.  Introduction and books 1,2 - Page 188by Euclid - 1908Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...than two right angles ; but those straight lines which, with another straight line falling upon them, make the interior 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 - 1816 - 588 pages
...than two right angles ; but those straight lines which, with another straight line falling upon them, make the interior 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 - 1046 pages
...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 - 546 pages
...than two right angles : but those straight lines which, with another straight line falling upon them, make the interior 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 - 1835 - 540 pages
...than two right angles ; but those straight lines which, with another straight line falling upon them, make the interior 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,... | |
 | Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - 564 pages
...Also, if a straight line, falling upon two straight lines, make the angles which are within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than... | |
 | 1835 - 588 pages
...Also, if a straight line, falling upon two straight lines, make the angles which are within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than... | |
 | Encyclopedias and dictionaries - 1835 - 566 pages
...Also, if a straight line, falling upon two straight lines, make the angles which we within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 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 the sum... | |
 | Euclides - Geometry - 1841 - 378 pages
...than two right angles; but those straight lines which, with another straight line falling upon them, make the 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... | |
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