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" Two straight lines which are each of them parallel to the same straight line, and not in the same plane with it, are parallel to one another. Let AB... "
The Elements of Descriptive Geometry ... - Página 7
por Thomas Grainger Hall - 1841 - 100 páginas
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 páginas
...PROPOSITION IX. THEOREM. straight lines, which cure each of them parallel to the same straight lin', and not in the same plane with it, are parallel to one another. A Tf. Let AB, CD be each of them || to EF, and not in the same plane with it. Then must AB be \\ to...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...to which AB is at right angles. Wherefore, if two straight lines &c. QED PROPOSITION 9. THEOREM. Two straight lines which are each of them parallel to...plane with it, are parallel to one another. Let AB and CD be each of them parallel to EF, and not in the same plane with it : m AB shall be parallel to...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...drawn aO from the right angle to the middle point of the hypotenuse. PUEE MATHEMATICS. (1.) 1. Two straight lines which are each of them parallel to...the same plane with it, are parallel to one another. If A, B, C, and D be any four points in space, and if E, F, G, and H be the middle points of the lines...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...to which AB is at right angles. Wherefore, if two straight lines &c. QBD PROPOSITION 9. THEOREM. Two straight lines which are each of them parallel to...plane with it, are parallel to one another. Let AB and CD be each of them parallel to EF, and not in the same plane with it : AB shall be parallel to...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...perpendicular to AB, and such that the angles FCA and ECB are equal. Prove that DF .DE=DC t . 6. Two straight lines which are each of them parallel to the same straight line, although not in the same plane with it, are parallel to one another. A tetrahedron is cut by a plane...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...topi. MN); ... CDB is art. -. But CDE is a rt. L ; .•. CD is xrtopl. MN. [XI. 4. PROP. 9.— Two straight lines which are each of them parallel to...same plane with it, are parallel to one another. Let the st. lines BM, CN be each of them || to AL, but not in the same plane with it; BM shall be || to...
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Calendar, for the Year ...

1894
...perpendiculars be drawn to the four sides, their lengths are the four terms of a proportion. 6. Prove that two straight lines which are each of them parallel to...the same plane with it, are parallel to one another. The straight lines joining the middle points of opposite edges of a tetrahedron meet in a point. 7....
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Calendar

University of St. Andrews - 1900
...an isosceles triangle equal in area to a given scalene triangle, and having a common angle. 11. Two straight lines which are each of them parallel to...the same plane with it, are parallel to one another. The squares described on the diagonals of any parallelepiped are together equal to the sum of the squares...
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The Thirteen Books of Euclid's Elements

...is equal and parallel to BE. But straight lines which are parallel to the same straight line and are not in the same plane with it are parallel to one another ; [xi. 9] therefore AD is parallel and equal to CF. And AC, DFjoin them ; therefore AC is also equal...
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