 | Euclides - 1862 - 172 pages
...line, &c. QED PROP. 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 ; then... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...from the opposite angle. 3. Describe an equilateral triangle upon a given finite straight line. 4. If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle upon the same side ; and also the two interior angles on the same side together equal to two... | |
 | 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... | |
 | 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... | |
 | Euclides - 1864 - 262 pages
...therefore 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...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
...during the first rule of Lord Curnwallis. ARITHMETIC AND ALGEBRA. Examiner.—REV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight...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...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... | |
 | 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...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... | |
| |
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... 
