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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: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 páginas
...plane to which AB is at right angles. Therefore, " if two straight lines" &c. QED PROP. IX. THEOR. Two straight lines which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...plane to which AB is at right angles. Therefore, " if two straight lines," &c. QED PROP. IX. THEOR. Two straight lines which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...of them at right angles to a plane; the other is also at right angles to the same plane. VIII. Two straight lines which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. IX. If two straight lines meeting...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 páginas
...perpendicular (XI. 4.) to the plane BDE in which those lines are. Wherefore, if one, &c. PROP. IX. THEOR. Two straight lines which are each of them parallel to the same straight line, and are not both in the same plane with it, are parallel to one another. Let AB, CD be each of them parallel...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 páginas
...drawn through the same \ T5 " 1 point D, which is impossible (11. Ax. \ 1.). PROP. VIII. THEOR. Two straight lines which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 1837 - 164 páginas
...to AB, and are drawn through the same point D ; which is impossible. PROPOSITION VIlI. THEOREM. Two straight lines which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. Let AB, CD, be each of them...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 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 (9. 11.) to one another. Therefore AD is parallel to CF ; and it is equal (1. Ax. 1.) to it, and AC,...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...plane to which AB is at right angles. Therefore, if two straight lines, &c. QED PROP. IX. THEOR. 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 parallel to EF, and not in the same plane with it: AB shall be parallel to CD. In...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...AB, and are drawn through the same point D, which is impossible (11. Ax. 1.). PROP. VIII. THEOR. Two straight lines which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...plane to which AB is perpendicular. Therefore, if two straight lines, &c. QED PROP. VIII. THEOR. Two straight lines, which are each of them parallel to the same straight line, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them...
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