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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 first two books of the Elements of Euclid, with additional figures ... - Side 53
av Euclides - 1852
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 108 sider
...are equal (B. II. Prop. 4, Cor. 1). PROP. V. PROBLEM. Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, DC the given line. From A as a centre, with any radius longer than the shortest distance from A to...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...straight lines, &c. QED PROPOSITION XXXI. PROB. — To draw a straight line through a gieen point parattel to a given straight line. Let A be the given point,...draw a straight line through the point A, parallel to £ ^_ __F the straight line BC. / In BC take any point D, and join / AD ; and at the point A, in the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...parallel to CD. (i. 27.) Wherefore straight lines which are, &c. QED PROPOSITION XXXI. PROBLEM. To dram a straight line through a given point parallel to...BC the given straight line. It is required to draw through the point A a straight line parallel to the straight line BC. In the line BC take any point...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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...line 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,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...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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