 ... if a straight line, &c. QED PROPOSITION 29. — Theorem. 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 ;...  Elements of Geometry: With Notes - Page 165by John Radford Young - 1827 - 208 pagesFull view - About this book
 | James Russell Soley - Naval education - 1880 - 346 pages
...another, and the 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 angles. Show that the difference between the alternate angles made by any straight line falling upon two given... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...the exterior angle equal to the interior and opposite angle on the same su/e of the line ; or make the two interior angles on the same side together equal to two right angles, these two straight lines are parallel to each other. Let the straight line EF falling upon the two... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. Let the straight line EF, which falls on the... | |
 | John Gibson - 1881 - 302 pages
...another, and tho 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 angles. 4. Parallelograms on equal bases, and between tho same parallels, are equal to one another. 5. If the... | |
 | Education, Higher - 1883 - 536 pages
...make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. 7. If A be the vertex of an isosceles triangle... | |
 | Education Ministry of - 1882 - 300 pages
...another, and the 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 angles. 3. In any right-angled triangle, the square which is described on the side subtending the right angle... | |
 | Marianne Nops - 1882 - 278 pages
...makes (a) the exterior angle equal to the interior and opposite on the same side of the line, or (/3) the two interior angles on the same side, together equal to two right angles, these lines are parallel. Taking lines AB and CD, cut by EF as in the last proposition, the exterior... | |
 | 1882 - 486 pages
...another, and the 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 angles. 4. Parallelograms on the same base, 'and between the same parallels, are equal to one another. 5. In... | |
 | Education, Higher - 1882 - 498 pages
...another, and the exterior angle equal to the interior and opposite angle on the same sids ; and also the two interior angles on the same side together equal to two right angles. 14. Draw through a given point, between two straight lines not parallel, a straight line which shall... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...another, and the 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-angles. Through two given points draw two lines, forming with a line given in position, an equilateral... | |
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