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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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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 páginas
...construct a right-angled triangle 12. If two right lines meeting one another be paralled to two other right lines which meet one another, but are not in the same plane as the first two, the plane which passes through these is.parallel to the plane which passes through...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...2 and 5 yards, and if the area of the former be 60 square feet, what is the area of the latter ? 2. If two straight lines meeting one another be parallel...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 with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 páginas
...straight line is perpendicular to each of two planes. If two straight lines be cut by parallel planes. If two straight lines meeting one another be parallel...one another, but are not in the same plane with the first two. If a plane be perpendicular to another plane, and a straight line be drawn from a point...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 páginas
...find the coefficient of x". •, 16. If two straight lines meeting one another, be parallel 1o 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 school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...another; that is, they are parallel. (XI. def. 8.) Therefore, planes, &c. QED PROPOSITION XV. THEOREM. If two straight lines meeting one another be parallel...one another, but are not in the same plane with the first two; the plane irhich passes through these is parallel to the plane passing through the others....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...another ; that is, they are parallel- (xi. def. 8.) Therefore, planes, &c. QED PROPOSITION XV. THEOREM. If two straight lines meeting one another be parallel...one another, but are not in the same plane with the fir :st two; the plane which passes through these is parallel to the plane passing through the others....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...14. Planes to which the same straight line is perpendicular, are parallel to one another. Prop. 15. If two straight lines meeting one another, be parallel...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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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - 1866 - 428 páginas
...proportional, are equal. 6. The circumferences of circles are to one another as their diameters. 6. If two straight lines meeting one another be parallel...one another, but are not in the same plane with the first two; the plane which passes through them is parallel to the plane passing through the other....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...[XI. Definition 8. Wherefore, planes &c. QED PROPOSITION 15. THEOREM. If two straight lines which meet one another, 'be parallel to two other straight lines...meet one another, but are not in the same plane with thefir.it two, the plane passing through these is parallel to the plane passing through the others....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 páginas
...AB, BC, two straight lines which meet one another, be parallel to two other straight lines DE, EF, which meet one another, but are not in the same plane with AB, BC: the plane passing through AB, BC, shall be parallel to the plane passing through DE, EF. From...
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