 | Euclides - 1864 - 120 pages
...&c. QEl). 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
...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... | |
 | Robert Potts - 1865 - 528 pages
...QED PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes (he alternate angles equal to one another ; and the exterior...together equal to two right angles. Let the straight line EFfaR upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal to... | |
 | Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...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... | |
 | Edinburgh univ - 1866 - 344 pages
...a straight line fall upon two parallel straight lines it shall make the alternate angles equal, and the two interior angles upon the same side together equal to two right angles. 9. Define a square. To describe a square upon a given straight line. Show that your figure satisfies... | |
 | Littlemore Linden house sch - 1867 - 228 pages
...perpendicular to a given straight line of an unlimited length, from a given point without it. 4. If a straight line fall upon two parallel straight lines,...the same side together equal to two right angles. 5. In any right-angled triangle, the square which is described upon the side subtending the right angle,... | |
 | 1867 - 224 pages
...the line and of the square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate...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 - Euclid's Elements - 1867 - 424 pages
...Wherefore, if a straight line &c. QED ' )i.! • PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, it makes the alternate...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 - Euclid's Elements - 1867 - 426 pages
...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 - Geometry - 1867 - 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 intersect the parallel lines AB, С D ; the alternate angles AGH, GHD are equal ; the exterior angle... | |
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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 angle upon the same side ; and likewise the two interior angles upon the same side... 
