| Royal college of surgeons of England - 1860 - 336 pages
...triangle is opposite the greater angle. 4. 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 side together equal to two right-angles, the... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...&c. 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 of the line ; or make the interior angles upon the same side together equal to two right angles ; the... | |
| War office - 1861 - 260 pages
...coefficient. MATHEMATICS. Voluntary Paper, No, II. REV. CANON HEAVISIDE, MA 1. State Euclid's 12th axiom. If a straight line fall upon two parallel straight lines,...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... | |
| War office - 1861 - 714 pages
...EUCLID. 1. Define parallel straight lines; state Euclid's 12th axiom. . If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite angle on the same side, and likewise the two... | |
| Euclides - 1862 - 140 pages
...— Therefore, if a straight line, &c. QED PROPOSITION 29.-THEOREM. If a straight line fall upon tin parallel straight lines, it makes the alternate angles...the interior and opposite upon the same side; and also the two interior angles upon the same side together equal to two right angles. (References—... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 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, GHD Vj ____—•• — * are... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 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 А В, С D ; the alternate angles AGH, GHD are equal ; the exterior angle... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 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 AGH, GHD V, _„_. L are equal... | |
| Euclides - 1862 - 172 pages
...line, &c. QED PROP. 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 ; then... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...from the opposite angle. 3. Describe an equilateral triangle upon a given finite straight line. 4. If a straight line fall upon two parallel straight lines,...exterior angle equal to the interior and opposite angle upon the same side ; and also the two interior angles on the same side together equal to two... | |
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