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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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Dr. Brook Taylor's Principles of Linear Perspective, Or, The Art of ...

Brook Taylor - 1835 - 174 páginas
...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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New Series of The Mathematical Repository, Volume 6

Thomas Leybourn - 1835 - 682 páginas
...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 equations to two straight lines...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 páginas
...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...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 páginas
...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 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...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...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 1837 - 180 páginas
...(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 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 - 1837 - 332 páginas
...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.:...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...one another. Therefore AB is parallel to CD. Wherefore, two straight lines, &c. QED 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 B with the first two, the first two and the other...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...meet one another; that is, they are parallel.* Therefore planes, &c. QED x * 3 Dei. PROP. JtV. THEOR. If two straight lines meeting one another, be parallel...to two other straight lines which meet one another, hit are not in the same plane with the first two; the plane which passes through these is parallel...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 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 to the plane passing through the...
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