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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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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...». . . XI. 10. . XI. 2. . . XI. 5.. . XI. 35. , XI. 35, cor. XI. 3. . XI . 19. If two straight lines are each of them parallel to the same straight line, and -not in the same plane with it. If two straight lines meeting one another be parallel to two others that meet one another, and are...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...plane to which AB is at right angles. Therefore, if two straight lines, &c. QED PROP. IX. 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. Let AB and CD he each of them parallel...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 páginas
...and are drawn through the same point D, which is impossible (11. Ax. 1.). V PROP. VIII. THEOR. Two straight lines which are each of them parallel to the same straight lint, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...t angles to the same plane. XI. 10. . XL 2.. . XL 5.. XL 35, cor. HYPOTHESES. If two straight lines are each of them parallel to the same straight line, and not in the same plane with it. If two straight lines meeting one another be parallel to two others that meet one another, and are...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 páginas
...similarly described figures on the sides containing the right angle. 2. Two straight lines which are each parallel to the same straight line, and not in the same plane with it, are parallel to one another. 3. A square is inscribed in another square so that its angular points divide the sides of the latter...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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, DF join them towards...
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The Calcutta University Calendar

University of Calcutta - 1864
...the equal angles are homologous sides. Cut a given straight line in extreme and mean ratio. 4. 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. 5. If 48 men working eight hours a...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...is at rig-ht angles, (xi. 4.) Therefore, if two straight lines, &c. QE D PROP. IX.— THEOREM. Two straight lines which are each of them parallel to...not in the same plane with it, are parallel to one anotfier. (References— Prop. i. 11 ; xi. 4, 6, 8.) Let AB, CD be each of them parallel to EF and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 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 : AB shall be parallel to...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 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 : AB shall be parallel to...
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