 | Robert Simson - 1838 - Liczba stron: 434
...straight line, &c. QED PROP. XXVIII. THEOR. IF a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ;... | |
 | Euclides - 1841 - Liczba stron: 378
...line, &c. QED PROP. XXVIII. THEOR. If a straight line, falling upon two other straight lines, makes the exterior angle equal to the interior and opposite upon the same side of the line: or make the interior angles upon the same side together equal to two right angles; the... | |
 | William Chambers, Robert Chambers - 1842 - Liczba stron: 938
...right angles ; AB is parallel to CD. But the 29th proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight lines,...the same side together equal to two right angles. Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses... | |
 | Chambers W. and R., ltd - 1842 - Liczba stron: 744
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight hues, it makes the alternate angles equal to one another...the same side together equal to two right angles. Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses;... | |
 | John Playfair - 1842 - Liczba stron: 332
...in this manner be freed from all difficulty. PROP. III. or 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior and opposite on the same side ; and likewise the two interior... | |
 | 1844 - Liczba stron: 688
...vertical angles shall be equal. 4. If a straight line, falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two right angles, the two... | |
 | Euclid, James Thomson - 1845 - Liczba stron: 382
...one another ; (2) the exterior angle equal to the interior and remote upon the same side ; and (3) the two interior angles upon the same side together equal to two right angles, t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1) the alternate angles... | |
 | Euclid - 1845 - Liczba stron: 218
...QED PROPOSITION XXVIII. THEOB. — If a straight line, falling upon two other straight lines, makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles; the... | |
 | Euclides - 1846 - Liczba stron: 292
...angles ; therefore AB is parallel to CD. Wherefore, If a straight line itc . QEU PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines,...the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
 | Great Britain. Admiralty - 1846 - Liczba stron: 128
...— < L AGH, which ABUCD^"- 8 ' t Wherefore, if a straight line, &c. PROP. XXVIIF. THEOR. 29. iKu. If a straight line fall upon two parallel straight lines,...exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to... | |
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Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
