 | Robert Simson - Geometry - 1838 - 434 pages
...one another. Therefore AB is parallel to CD. Wherefore, two straight lines, &c. QED PROP. X. THEOR. IF two straight lines meeting one another be parallel to two other that meet one another, and are not in the same plane B with the first two, the first two and the other... | |
 | Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...impossible ; .'. the planes CD, EF, though produced, do not meet; therefore they are ||. PROPOSITION XVI. If two straight lines meeting one another be parallel...one another, but are not in the same plane with the Jirst two; the plane which passes through these is parallel to the plane through the others. INTRODUCTION.... | |
 | Euclides - Geometry - 1841 - 378 pages
...meet one another; that is, they are parallel.* Therefore planes, &c. QED x * 3 Dei. PROP. JtV. THEOR. If two straight lines meeting one another, be parallel...to two other straight lines which meet one another, hit are not in the same plane with the first two; the plane which passes through these is parallel... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...XIII. THEOR. If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting... | |
 | Euclides - 1842 - 316 pages
...one another: that is, they are parallel (7. Def. PL). Therefore, planes, &c. QED PROP. XIII. THEOR. not in the same plane with the first two : the plane which passes through these is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one... | |
 | Euclides - 1845 - 546 pages
...another ; that is, (hey are parallel, (xi. def. 8.) Therefore, planes, &c. QED PROPOSITION XV. THEOREM. If two straight lines meeting one another be parallel...with the first two; the plane which passes through these is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one... | |
 | Euclid - Geometry - 1845 - 218 pages
...planes, &c. QED PROPOSITION XV. THEOR. — If two straight lines meeting one another, be parallel to two straight lines which meet one another but are not...with the first two, the plane which passes through these is parallel to the plane passing through the others. BOOK XI. PROP. XVI. From the point B, draw... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...XIII. THEOR. If two straight lines meeting one another, be parallel to two straight Tmes which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...of bi 13 Th. If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two, the plane which passes through the first two is parallel to the plane which passes through the others. Recite p. 10, 8, 4, 12, and... | |
 | Euclides - 1846 - 292 pages
...passing through the others, Let AB, BC, two straight lines meeting one another, be parallel to DE, EF, which meet one another, but are not in the same plane with AB, BC : the plane through AB, BC, shall be parallel to the plane through DE, EF. From the point B,... | |
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If two straight lines meeting one another be parallel to two other straight lines which meet one another, but are not in the same plane with the first two; the plane which passes through these is parallel to the plane passing through the others. 
