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... The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| Euclides - 1853 - 146 pages
...straight line, &c. QED PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight lines, if **makes the alternate angles equal to one another; and...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... | |
| Euclides - 1853 - 176 pages
...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 straight line ef fall upon the parallel straight lines ab, С d ; the alternate... | |
| Popular educator - 1854 - 1274 pages
...point without it. 6. If a straight line fall upon 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... | |
| John Playfair - Geometry - 1855 - 336 pages
...a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall vpon **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** vpon the same side; and likewise the two interior angles upon the same side together equal to two right... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...interior opposite angles. 4. Any two sides of a triangle are together greater than the third side. 5. **If a straight line fall upon two parallel straight...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... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...these shall be less than the other two aides of the triangle, but shall contain a greater angle. 5. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to** another; and the exterior angle equal to the interior and opposite upon the same side; and likewise... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle** upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
| 1858 - 398 pages
...of that which has the greater angle, shall be greater than the base of the other. 2. PROP. XXIX. — **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite angle** upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
| War office - 1858 - 578 pages
...equal. How will the two straight lines cut each other when all the four vertical angles are equal ? 2. **If a straight 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 angle on the same side, and likewise... | |
| Euclides - 1858 - 248 pages
...line are parallel to each other. DEMONSTRATION. — 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... | |
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