 | War office - 1861 - Liczba stron: 714
...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 - Liczba stron: 140
...— 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 - 1862 - Liczba stron: 532
...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 - 1862 - Liczba stron: 518
...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 - 1861 - Liczba stron: 638
...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 - Liczba stron: 172
...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 - 1863 - Liczba stron: 316
...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... | |
 | Benjamin Greenleaf - 1863 - Liczba stron: 504
...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- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV —" L are equal ; the... | |
 | Euclides - 1863 - Liczba stron: 74
...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 to the interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal... | |
 | Euclides - 1864 - Liczba stron: 262
...is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QHD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines,...another ; and the exterior angle equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together... | |
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Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
