 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...the third angle BAC to the third angle EDF. Therefore if two triangles, &c. QED PROP. XXVTL THEOR. If a straight line falling upon two other straight lines makes the alternate angles equal to one another, these two straight lines shall be parallel. lines AB, CD, make... | |
 | 1850 - 488 σελίδες
...interior opposite angles. SECTION II. 1. 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 two straight lines... | |
 | 1851 - 502 σελίδες
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In... | |
 | Euclides - 1852 - 152 σελίδες
...base AC is equal to the base DF, and the third angle BAC to the third angle EDF. PROP. XXVII. THEOR. If a straight line falling upon two other straight lines makes the alternate angles equal to one another, these two straight lines shall be parallel. Let the straight... | |
 | Euclides - 1853 - 146 σελίδες
...line fall upon two parallel straight lines, if 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 equal to two right angles. Let the... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...third angle BAC to the third angle EDF. Therefore, if two triangles, etc. QED PROPOSITION XXVII. THEOR. If a straight line, falling upon two other straight lines, makes the. alternate angles equal to one another, these two straight lines shall be parallel. Let the straight... | |
 | Euclides - 1853 - 176 σελίδες
...fall upon two parallel straigM lines, ii makes the aliernate angles equal to one, another ; and tlie exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two rigM angles. LET the... | |
 | Popular educator - 1852 - 1272 σελίδες
...two parallel straight lines, show that it will make 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 equal to two right angles. Discuss... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...triangle, but shall contain a greater angle. •1. If a right line falling upon two other right 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 two right lines... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...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 equal to two right angles. If two... | |
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Jf 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... 
