| Euclides, James Hamblin Smith - 1879 - 376 páginas
...throughDE,DJB. XI. 4. .'. CD is _ L to the plane to which .4fi is ±. PROPOSITION IX. THEOREM. QID T«x> **straight lines, which are each of them parallel to...the same plane with it, are parallel to one another.** IT Let AB, CD be each of them || to EF, and not in the same plane with it. Then must AB be \\ to CD.... | |
| Euclides, James Hamblin Smith - 1879 - 378 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... | |
| 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... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 páginas
...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... | |
| Euclid, Isaac Todhunter - 1883 - 426 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 562 páginas
...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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