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" IF two straight lines be parallel, the straight line drawn from any point in the one to any point in the other is in the same plane with the parallels.* Let AB, CD be parallel straight lines, and take any point E in the one, and the point F in the other... "
The Elements of Descriptive Geometry ... - Página 6
por Thomas Grainger Hall - 1841 - 100 páginas
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...AB is parallel to CD. (i. 28.) Wherefore, if two straight lines, &c. QED PROPOSITION VII. THEOREM. If two straight lines be parallel, the straight line...point in the other, is in the same plane with the paralleli. Let AB, CD be parallel straight lines, and take any point E in the one, and the point F...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...5 2s. i. ia parallelIT to CD. Wherefore, if two straight lines, &c. QED PROPOSITION VII. THEOB. — If two straight lines be parallel, the straight line...one to any point in the other, is in the same plane icith the parallels. Let AB, CD be parallel straight lines, and take any point E in the one, and the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...VII. THEOR. If two straight lines be parallel, any straight line, drawn from a point in the one to a point in the other, is in the same plane with the parallels. Let AB, CD be parallel straight lines, and take any point E in the one and any point F in the other : the straight...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 páginas
...lines be at right angles to the same plane, they shall be parallel to one another. PROP. VII. THEOREM. If two straight lines be parallel, the straight line...the other, is in the same plane with the parallels. PROP. VIII. THEOREM. If two straight lines be parallel, and one of them is at right angles to a plane...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...parallel (I.28) to СD. Wherefore, if two straight lines be at right angles, &c. QED PROP. VII. THEOREM. If two straight lines be parallel, the straight line...other, is in the same plane with the parallels. Let AB and СD be parallel straight lines, and E any point in the one, and F any point in the other. The straight...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 páginas
...both be at right angles to it. } They are in one plane. j another. [•They shall be parallel to one The straight line drawn from any point in the one...point in the other, is in the same plane with the paralf The other shall also be at righ .. lels. i angles to the same plane. HYPOTHESES. XI. ». . ....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...to one another in the duplicate ratio of their homologous sides. 2. Define parallel straight lines. If two straight lines be parallel, the straight line drawn from any point in one to any point in the other is in the same plane with the parallels. 3. Solve the equations : ">...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 páginas
...both be at right f angles to it. } They are in one plane. I They shall be parallel to one ; another. I The straight line drawn from any point in the one...the other, is in the same plane with the parallels. f The other shall also be at righ t angles to the same plane. XI. 10. . XL 2.. . XL 5.. XL 35, cor....
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 páginas
...said to touch another ? One circle cannot touch another in more points than one on the outside. 11. If two straight lines be parallel, the straight line drawn from any point in one to any point in the other is in the same plane with the parallels. 12. If the straight line which...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...straight lines be at right angles to the same plane, they shall be parallel to one .1:, other. Prop. 7. If two straight lines be parallel, the straight line...the other, is in the same plane with the parallels. Prop. 8. If two straight lines be parallel, and one of them is at right angles to a plane; the other...
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