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 - Side 4av Great Britain. Parliament. House of Commons - 1863Uten tilgangsbegrensning - Om denne boken
| Robert Simson - 1806 - 546 sider
...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 - 1806 - 320 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 - 1821 - 514 sider
...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 sider
...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 sider
...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 sider
...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... | |
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