 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
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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...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 - Mathematics - 1806 - 320 pages
...IF two straight lines which meet each other be parallel to two straight lines which meet each other, but are not in the same plane with the first two, the plane which passes through the former lines is parallel to the plane which passes through the latter. Let AB, BC, two straight... | |
 | John Mason Good - 1813 - 714 pages
...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...these is parallel to the plane passing through the Other-. Prop. XVI. Theor. If two parallel planes be cut by another plaue, their common sections with... | |
 | Euclides - 1816 - 588 pages
...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...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 Mason Good - 1819 - 800 pages
...Theor. If two straight line» meeting one another, be parallel to two straight lines which шее! one another, but are not in the same plane with the...which passes through these is parallel to the plane pasting through the other*. Prop. XVI. Theor. If two parallel planes be cut by another plane, their... | |
 | John Playfair - 1819 - 354 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 {o the plane passing through the others. Let AB, BC, two straight lines meeting... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 - Mathematics - 1825 - 1046 pages
...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 - Trigonometry - 1827 - 546 pages
...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...one another, but are not in the same plane with the Jirst two; the plane which passes through these is parallel to the plane passing through the others.... | |
 | University of Cambridge - 1830 - 554 pages
...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...parallel to the plane passing through the others. 3. If y = ax + b, and y = a'x + 6', be the equations to two straight lines in the same plane; prove... | |
| |
