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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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...angles. Therefore, if two straight lines, &c. QED c41. d8. 1. e4.l1. £3. def. 11. 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....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...angles to a plane ; the other also shall be at right angles to the same plane. Prop. IX. Theor. Two straight lines which are each of them parallel to the same straight line, and not in the same plaue with it, are parallel to out- another. Prop. X. Theoj. If two straight lines meeting one another...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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 plane with it, are parallel to one another. In EF take any point G, from which draw, in the plane passing through EF, AB, the straight line GH...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...Therefore AD and CF are each of them equal and parallel to BE. But straight lines that HIV pa-' rallel to the same straight line, and not . in the same plane with it, are parallel13 to one another. Therefore AD is paral. lei to CF ; and it is equal c to it, and AC, DF join...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...the same point D, which is impossible (11. Ax. 1 .). Therefore, &c. Q, ED • A E PROP. VIII. THEOR. Trvo straight lines which are each of them parallel to the same straight line, though not both in the same plane wtt/t it, are parallel to one antither Let AB, CD be each of them...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 páginas
...same point D, which is impossible (11. Ax. 1 .). Therefore, &c. Q, ED A E B 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 parallel...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 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, and not hi the same plane with it, are parallel to one another. Let AB, CD be each of them parallel to EF,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...to BE. Therefore AD atid 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: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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 ; therefore AD is parallel to CF ; and it is equal* to it ; and AC, DF join them towards the same parts;...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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 • 9. 11. with it, are parallel * to one another ; therefore AD is parallel • 1 Ax. 1. to CF ; and...
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