 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV —" L are equal ; the... | |
 | Euclides - 1863 - 74 pages
...the 27th, and the 2Sth.) If a line fall upon two parallel st. lines, it mahes the alternate angle* equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal... | |
 | Euclides - 1864 - 262 pages
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QHD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines,...another ; and the exterior angle equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together... | |
 | University of Calcutta - 1864 - 388 pages
...the first rule of Lord Curnwallis. ARITHMETIC AND ALGEBRA. Examiner.—REV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight lines,...it makes the alternate angles equal to one another. Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a... | |
 | Euclides - 1864 - 448 pages
...&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... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...straight lines cut one another, the vortical or opposite angles shall be equal. Prop. 29. — Theorem. If a straight line fall upon two parallel straight lines,...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 pages
...; the two straight lines shall be parallel to one another. P Prop. 29. If a straight line fall npon two parallel straight lines, it makes the alternate...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... | |
 | Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight lines,...it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior... | |
 | Robert Potts - 1865 - 528 pages
...&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 - Geometry - 1855 - 350 pages
...lines are perpendicular to a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines,...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... | |
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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... 
