 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. Let...  Parliamentary Papers - Pagina 4door Great Britain. Parliament. House of Commons - 1863Volledige weergave - Over dit boek
 | Robert Simson - 1838 - 434 pagina’s
...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 - 1841 - 214 pagina’s
...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 - 1841 - 378 pagina’s
...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... | |
 | Euclides - 1842 - 316 pagina’s
...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...parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one another, be parallel to DE, EF that meet one another, but... | |
 | John Playfair - 1842 - 332 pagina’s
...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 - 1845 - 546 pagina’s
...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...parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one another, be parallel to DE, EF, two other straight lines... | |
 | Euclid - 1845 - 218 pagina’s
...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...parallel to the plane passing through the others. BOOK XI. PROP. XVI. From the point B, draw BG perpendicular* to the plane * nn which passes through... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...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 - 1846 - 168 pagina’s
...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 pagina’s
...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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