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 ... - Página 11por Thomas Grainger Hall - 1841 - 100 páginasVisualização integral - Acerca deste livro
| Robert Simson - 1806 - 518 páginas
...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
...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 - 528 páginas
...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 - 317 páginas
...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 - 516 páginas
...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 - 372 páginas
...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 - 513 páginas
...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
...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
...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
...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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