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" To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR. "
The Element of Geometry - Seite 13
von John Playfair - 1836 - 114 Seiten
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...it.* PROP. II. PROB. — From a given point to draw a straight line equal to a giren straight bne.t Let A be the given point, and BC the given straight line ; it is required to draw from A a straight line equal to BC. From the point A to B draw (I. post. 1) the straight line AB; and...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...CD. Wherefore, Straight lines %c. QED PROP. XXXI. PHOB. Through a given point to draw a straight line parallel to a given straight line, Let A be the given...BC the given straight line : it is required to draw through the point A a straight line parallel to BC. In BC take any point D, and join AD ; and at the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 Seiten
...are alter- VK nate angles ; therefore AB is parallel C \ TJ (27. 1.) to CD. \ •** PROP. XXXI. PROS. To draw a straight line through a given point parallel to a given straight line. \ _ ** In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 Seiten
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Eu. To draw a straight line through a givenpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 Seiten
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Ku. To draw a straiglit line through a givmpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 Seiten
...yK nate angles ; tl (27. 1.) to CD. PROP. XXXI. PROS. nate angles ; therefore AB is parallel C \ T) To draw a straight line through a given point parallel...through the point A, parallel to the straight line BCIn BC take any point D, and join _ AD ; and at the point A, in the ••" straight line AD, make...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 Seiten
...prove the Theorem, when it is placed either above AB or below CD. PROP. XXXI. THEOR. GEN. ENUN. — To draw a straight line through a given point parallel to a given straight line. PART. ENUN. — Let A be the gn. pt., and BC the gn. st. line. Then it is required to draw through...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...lines which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...AB. Which was required to be done. PROP. II. PROS. From a given point to dram a straight line equal to a given straight line. Let A be the given point,...BC the given straight line; it is required to draw from the point A a straight line equal to BC. From the point A to B draw (Post. 1.) the straight line...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 332 Seiten
...and they are alter- VK nate angles ; therefore AB is parallel C \ Ti (27. 1.) to CD. \ PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the givqp point, and BC the given straight line, it is required to draw a straight line through the point...
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