| Robert Simson - Trigonometry - 1806 - 518 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...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... | |
| John Playfair - Trigonometry - 1806 - 311 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
...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...with the first two; the plane which passes through** these is parallel to the plane passing through the Other-. Prop. XVI. Theor. If two parallel planes... | |
| Euclides - 1816 - 528 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...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... | |
| John Playfair - 1819 - 317 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... | |
| John Mason Good - 1819
...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 first two; the plane which passes through** these is parallel to the plane pasting through the other*. Prop. XVI. Theor. If two parallel planes... | |
| Euclid, Robert Simson - Geometry - 1821 - 516 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 - 372 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 - 513 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
...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...with the first two, the plane which passes through** these, is parallel to the plane passing through the others. 3. If y = ax + b, and y = a'x + 6', be... | |
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