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" 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 11
por Thomas Grainger Hall - 1841 - 100 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

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-....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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,...
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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....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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,...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

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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