 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 - Page 4by Great Britain. Parliament. House of Commons - 1863Full view - About this book
 | Euclides - 1864 - 448 pages
...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 pages
...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 pages
...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—... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...proportional, are equal. 6. The circumferences of circles are to one another as their diameters. 6. If two straight lines meeting one another be parallel...with the first two; the plane which passes through them is parallel to the plane passing through the other. COORDINATE GEOMETRY. 7. Investigate the relation... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...[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 - Euclid's Elements - 1867 - 424 pages
...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 pages
...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...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 pages
...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 - Geometry - 1876 - 446 pages
...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...which passes through these is parallel to the plane pasting through the others. Let AB, BC, two straight lines meeting one another, be parallel to DE,... | |
| |
