| Robert Potts - Geometry, Plane - 1860 - 380 pages
...straight line, &c. QED PKOPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...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... | |
| Royal college of surgeons of England - 1860 - 336 pages
...triangle are together greater than the / third side. 5. If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite** upon the same side ; and likewise the two interior angles upon the saine side together equal to two... | |
| War office - 1861 - 260 pages
...CANON HEAVISIDE, MA 1. State Euclid's 12th axiom. If a straight line fall upon two parallel straight **lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle** on the same side, and likewise the two interior angles upon the same side together equal to two right... | |
| War office - 1861 - 714 pages
...there ? EUCLID. 1. Define parallel straight lines. If a straight line fall on two parallel straight **lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle** on the same side. 2. Describe a square that shall be equal to a given rectilineal figure. 3. In equal... | |
| Euclides - 1862 - 172 pages
...line fall upon two parallel straight lines, then it makes the alternate angles equal to each other ; **and the exterior angle equal to the interior and opposite...interior angles upon the same side together equal to two** right angles. (References — Prop. i. 13, 15; ax. l. 2, 4, 12.) Let the right line EF, fall on the... | |
| Euclides - 1862 - 140 pages
...straight line, &c. QED PROPOSITION 29.-THEOREM. If a straight line fall upon tin parallel straight **lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite** upon the same side; and also the two interior angles upon the same side together equal to two right... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 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... | |
| Benjamin Greenleaf - Geometry - 1861 - 628 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 EP inter- j; sect the parallel lines AB, CD ; \ the alternate angles... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...square on the line between the points of section. 6. If a straight line fall on two parallel straight **lines, it makes the alternate angles equal to one...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.... | |
| Euclides - 1863 - 72 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...interior and opposite angle upon the same side ; and** lihewise the two interior angles upon the same •tide together equal to two rt. angles. DEM.— Ax.... | |
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