 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.  The Elements of Descriptive Geometry ... - Page 11by Thomas Grainger Hall - 1841 - 100 lehteFull view - About this book
 | Robert Simson - 1806 - 546 lehte
...planes, &c. QED PROP. XV. THEOR. IF two straight lines meeting one another, be pa- See N. rallel to two 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.... | |
 | John Mason Good - 1813 - 714 lehte
...parallel to one another. Prop. XV. Theor. 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; the plane which passes through these is parallel to the plane passing through the Other-.... | |
 | Euclides - 1816 - 588 lehte
...D x Boo* XI. PROP. XV. THEOR. IF two straight lines meeting one another, be pa- See*. rallel to two 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.... | |
 | John Playfair - 1819 - 354 lehte
...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 {o the plane passing through the... | |
 | Euclid, Robert Simson - 1821 - 514 lehte
...one another. Therefore AB is parallel toCD. Wherefore, two straight lines, &c. QED i 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 with the first two, the first two and the other... | |
 | Peter Nicholson - 1825 - 1046 lehte
...PROP. XV. THEOREM. Jftno straight lines meeting one another, be parallel to ttvo straight lines tvhich meet one another, but are not in the same plane with the Jtrtt lito ; the plane which posset through these is parallel to the plane passing through the otiiert.... | |
 | Robert Simson - 1827 - 546 lehte
...11. is*, they are parallel. Therefore planes, &c. QED PROP. XV. THEOR. SeeN. •1t. 11. • 31. 1. If two straight lines meeting one another be parallel...which passes through these is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one another, be parallel to DE,... | |
 | University of Cambridge - 1830 - 554 lehte
...duplicate ratio of their homologous sides. 2. 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, the plane which passes through these, is parallel to the plane passing through the others.... | |
 | Euclides - 1834 - 518 lehte
...l. PROPOSITION XV. TIIEOR. — If two straight lines meeting one another, be parallel See N. to Iwo other straight lines which meet one another but are...which passes through these is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one another, be parallel to DE,... | |
 | 1835 - 684 lehte
...15. (Eue. xi. 10 and 15.) i If two straight lines, which meet one another, be parallel respectively to two other straight lines, which meet one another, but are not in the same plane with the first two ; the contained angles shall be equal,* and their planes parallel. Let the straight lines... | |
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