| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 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... | |
| Robert Potts - 1868 - 410 pages
...AGH is equal to the remaining angle GHD; (ax. 3.) PROPOSITION XXIX. THEOREM. If a straight line fall **upon two parallel straight lines, it makes the alternate...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... | |
| Benjamin Greenleaf - Geometry - 1868 - 320 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- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV i \VT.... are equal ; the... | |
| Ontario Chief Superintendent of Education - Education - 1869
...between equal and equivalent triangles 1 3. If the straight line falling upon two other lines make **the exterior angle equal to the interior and opposite upon the same side,** &c. BI 28. 4. When is a problem said to be indeterminate ? •5. If the sides of a triangle be bisected,... | |
| Euclides - 1870
...same st. line are parallel to each other. DEM. — P. 29. If a st. line fall upon two parallel st. **lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the** int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together... | |
| Alfred Challice Johnson - Spherical trigonometry - 1871
...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 be produced, the exterior angle is equal to the two interior... | |
| Euclides - 1871
...26. 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...QEI). 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** oj' the line, or make the interior angles upon the same side together equal to two right angles; the... | |
| Benjamin Greenleaf - Geometry - 1873 - 176 pages
...makes 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 \ T alternate angles AG II, GHD are \Q. equal ; the exterior... | |
| Henry Major - Student teachers - 1873
...therefore is parallel to CD. XXVIII. — If a straight line, falling upon two other straight lines makes **the exterior angle equal to the interior and opposite upon the same side** of the line; or makes the interior angles upon the same sido together equal to two right angles ; the... | |
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