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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 through the point A, parallel to the straight hue BC. In BC take any point... "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 10
av W J. Dickinson - 1879 - 36 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...therefore AB is parallel b to CD. Where- b 27. 1. fore, " straight lines," &c. QED PROP. XXXI. PROB. 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 . _-,...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...lines that are parallel to the same straight line, are parallel to one another. PROP. IV. PROB. 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 through...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...they are alternate angles ;• therefore AB is parallel to CD (I. 27). PROPOSITION XXXI. PROBLEM. 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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...therefore AB is parallel • to CD. Wherefore straight lines, &c. QED * ". l. PROP. XXXI. PROB. 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 r A r straight line...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...to GKD; and they are alternate angles ; therefore AB is parallel (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 given point, and вc the given straight line; it is required to draw a E straight line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...alter- VK nate angles ; therefore AB is parallel <Q \ TJ (27. 1.) to CD. ' f \ PROP. XXXI. PROB. 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 through...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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 a given straight line. Let A be the given point, and BC the given straight line. It is required to draw through the point...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 sider
...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 First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...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
...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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