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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...parallel to BE. Therefore AD and CF are each of them equal and parallel to BE. But straight lines that are parallel to the same straight line, and not in the same plane with it, are parallel to one another: (XI. 9.) therefore AD is parallel to CF; and it is equal to it; (I. ax. 1.) and AC, DFjoin them towards...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868
...rectilineal figure and equal to another given rectilineal figure. 12. Define parallel straight lines. Two straight lines which are each of them parallel to the same straight line, and uot in the same plane with it, are parallel to one another. PUEE MATHEMATICS. Section I. REV. WN GKIFFIN,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 páginas
...through DE,DB. XI.4. .'. CD is a. to the plane to which AB is x . Q. K D. PROPOSITION IX. THEOREM. Two straight lines, which are each of them parallel to the same straight line, and not in the same plane urith it, are parallel to one another. Let AB, CD be each of them II to EF, and not in the same plane...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...at right angles (XI. 4). Therefore, if two straight lines, &c. QED PROPOSITION 9. — Theorem. Two straight lines which are each of them parallel to the same straight line, but not in the same plane with it, are parallel to one another. K Let AB and CD be each of them parallel...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 páginas
...another; which is impossible. PARALLEL LINES (not all situated in the same plane). PROPOSITION XII. Two straight lines which are each of them parallel to the same straight line, which is not in the same plane with them, are parallel to one another. . C ft Let AB, CFbe each of...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 páginas
...through DE, DB. XL 4 .'. CD is J. to the plane to which AB is j_ . QED PROPOSITION IX. THEOREM. Two straight lines, which are each of them parallel to...plane with it, are parallel to one another. Let AB, CD be each of them || to EF, and not in the same plane with it Then must AB be \\ to CD. In EF take...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 páginas
...is -L to the plane to which AB is J. . QED PROPOSITION IX. THEOREM. Two straight lines, which cure each of them parallel to the same straight line, and...plane with it, are parallel to one another. Let AB, CD be each of them || to EF, and not in the same plane with it. Then must AB be \\ to CD. In EF take...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 páginas
...lines, &c. QED PROPOSITION IX. THEOREM. Two stra.iy1d Una which are each of them parallel to the tame straight line, and not in the same plane with it, are parallel to one another. Let ATI, CD be each of them parallel to EF, and not in the same plane with it. Then AB shall be parallel...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1878 - 349 páginas
...through DE,DB. XI. 4. .'. CD is x to the plane to which AB is J. . QED PROPOSITION IX. THEOREM. Two straight lines, which are each of them parallel to...straight line, and not in the same plane with it, are paralld to one another. Let AB, CD be each of them I( to EF, and not in the same pkne with it. Then...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 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....
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