 | Robert Simson - 1838 - 434 σελίδες
...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 - 378 σελίδες
...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... | |
 | Euclides - 1842 - 316 σελίδες
...alternate angles; therefore AB is parallel to CD. Wherefore if a straight line, &c. QED PEOP. XXIX. THEOR. IF a straight line fall upon two parallel straight...side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight... | |
 | William Chambers, Robert Chambers - 1842 - 938 σελίδες
...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...side ; and likewise the two interior angles upon the same side together equal to two right angles. Now, the assertion contained in this theorem is both... | |
 | Chambers W. and R., ltd - 1842 - 744 σελίδες
...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...side ; and likewise the two interior angles upon the same side together equal to two right angles. Now, the assertion contained in this theorem is both... | |
 | John Playfair - 1842 - 332 σελίδες
...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 - 688 σελίδες
...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... | |
 | Euclides - 1845 - 546 σελίδες
...&c. QED PROPOSITION XXVIII. THEOREM. 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 iwo right angles ;... | |
 | Euclid - 1845 - 218 σελίδες
...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 - 292 σελίδες
...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...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... | |
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IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... 
