 | J. F. H. de Rheims - 1865 - 336 σελίδες
...opposite angles shall be equal. Prop. 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the... | |
 | Euclides - 1865 - 402 σελίδες
...lines shall be parallel to one another. P Prop. 29. If a straight line fall npon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle npon the same side; and likewise the two interior angles upon the same side together equal to... | |
 | Robert Potts - 1865 - 528 σελίδες
...&c. QED PROPOSITION XXVIII. THEOREM. 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 upon the same side together equal to two right angles ; the... | |
 | John Playfair - 1855 - 350 σελίδες
...will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...the same side ; and likewise the two interior angles fipo* the same side together equal to two right angles. Let the straight line EF fall upon the parallel... | |
 | Benjamin Greenleaf - 1866 - 328 σελίδες
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the tivo interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD are equal; the exterior angle... | |
 | 1867 - 224 σελίδες
...square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...straight line &c. QED ' )i.! • PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight Una, it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite angle on the same side; and also the two interior angles on the same side together equal to two right... | |
 | Benjamin Greenleaf - 1868 - 340 σελίδες
...the alternate angles equal; also any exterior angle equal to the 'interior and opposite angle ; and the two interior angles upon the same side together...equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV i \VT.... are equal ; the... | |
 | Robert Potts - 1868 - 434 σελίδες
...remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. 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 t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same... | |
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if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... 
