 | Euclides - 1864 - 448 pàgines
...another; that is, they are parallel. (XI. def. 8.) Therefore, planes, &c. QED PROPOSITION XV. THEOREM. If two straight lines meeting one another be parallel...not in the same plane with the first two; the plane irhich passes through these is parallel to the plane passing through the others. Let AB, BC, two straight... | |
 | Robert Potts - 1865 - 528 pàgines
...another ; that is, they are parallel- (xi. def. 8.) Therefore, planes, &c. QED PROPOSITION XV. THEOREM. If two straight lines meeting one another be parallel...one another, but are not in the same plane with the fir :st two; the plane which passes through these is parallel to the plane passing through the others.... | |
 | Euclides - 1865 - 402 pàgines
...planes, &c. QED PROP. XV.— THEOREM. If two straight lines meeting one another, be parallel to two straight lines which meet one another, but are not in the same plane with the first two; then the plane which passes through these is parallel to the plane passing through the others. (References—... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...[XI. Definition 8. Wherefore, planes &c. QED PROPOSITION 15. THEOREM. If two straight lines which meet one another, 'be parallel to two other straight lines...meet one another, but are not in the same plane with thefir.it two, the plane passing through these is parallel to the plane passing through the others.... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...AB, BC, two straight lines which meet one another, be parallel to two other straight lines DE, EF, which meet one another, but are not in the same plane with AB, BC: the plane passing through AB, BC, shall be parallel to the plane passing through DE, EF. From... | |
 | Robert Potts - 1868 - 434 pàgines
...another; that is, they 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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pàgines
...the plane passing through the others. Let AB, BC, two st. lines meeting one another, be || to DE, EF, which meet one another, but are not in the same plane with AB, BC. Then must the plane AC be \\ to the plane DF. From B draw BG ± to the plane DF, meeting it... | |
 | Euclides - 1874 - 342 pàgines
...QED PROPOSITION 10. — Theorem. If two straight lines meeting one another be parallel to two others, which meet one another, but are not in the same plane with the first two'; the first two and the other two contain equal angles. Let the two straight lines AB and BC, meeting one... | |
 | Robert Potts - 1876 - 446 pàgines
...another; that is, they are parallel, (xi. def. 8.) Therefore, planes, &c. iJ.ED 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 pasting through the others. Let AB, BC, two straight lines meeting one... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pàgines
...planes CD, EF do not meet when produced, and .-. CD is || to EF. XL Def. 7. QED PROPOSITION XV. THEOREM. If two straight lines, meeting one another, be parallel...with the first two ; the plane, which passes through these, must be parallel to the plane passing through the others. Let AB, BC, two st. lines meeting... | |
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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. 
