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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. "
A collection of elementary test questions in pure and mixed mathematics ... - Pàgina 201
per James Robert Christie - 1866 - 404 pàgines
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 pàgines
...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 lohichpasses through the first two is parallel to the plane passing through the others. Let AB, BC,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pàgines
...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 not in the same plane with the Jirst two, the plane which passes through these is parallel to the plane passing through the others....
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pàgines
...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,...are not in the same plane with the first two ; the contained angles shall be equal,* and their planes parallel. Let the straight lines AB, AC, which meet...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 pàgines
...THEOR. If two straight lines meeting one another, be pa- See N. rallel 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 to the plane passing through the others. Let AB, BC, two straight lines meeting...
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New Series of The Mathematical Repository, Volum 6

Thomas Leybourn - 1835 - 682 pàgines
...two straight lines meeting one another, be parallel lu two straight lines which meet one another, bui 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. 3. If y = ax + b, andy = a'x + b', be the...
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Dr. Brook Taylor's Principles of Linear Perspective, Or, The Art of ...

Brook Taylor - 1835 - 174 pàgines
...the original plane : by the 1 5th Proposition, llth book of Euclid, where it is demonstrated, that " If two straight lines meeting one another, be parallel to two other straight lines that meet one another, but which are not in the same plane with the first two : the plane which passes...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 pàgines
...which passes through the origin. ** 42. 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. 43. Having given the equation to a plane,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pàgines
...another. XIII. 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 to the plane riassing through the others. XIV. If two parallel planes be...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 1837 - 180 pàgines
...(I. Def. 6.) PROPOSITION XIII. THEOREM. 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. Let AB, BC, two straight lines meeting one...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 pàgines
...XIII. THEOR. If two straight lines meeting one another, be parallel to two straight lines which al°o meet one another, but are not in the same plane with the first, two : the plane which passes through the first two is parallel to the plane passing through.: the others. Let AB, BC, two straight lines...
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