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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 Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...AGK is equal to GKD ; and they are alternate angles ; therefore AB is parallel to CD. XXXI. — 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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...to CD (I. 27). Wherefore, straight lines which are parallel, &c. QED PROPOSITION 31. — 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, through the point...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...AB is parallel to CD (I. 27). Therefore, straight lines, &c. QE I). Proposition 31. — 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 through...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...therefore AB is parallel to CD. [I. 27.] Therefore, straight lines, &c. QED PROPOSITION 31. 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...
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Examination Christmas,1875

Education Department,London - 1876
...equal, then shall the other sides be equal, each to each. 4. Explain the terms Problem, Theorem. To draw a straight line through a given point parallel to a given straight line. From a given point without a given line to draw a straight line, making with the given line an angle equal to one half...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...Therefore AB is parallel to CD (I. 27). Therefore, straight lines, &c. QED Proposition 31. — 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 through...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...Therefore PQ and RS are parallel. Wherefore if in a plane a straight line &C. QED PROPOSITION XVII. To draw a straight line through a given point parallel to a given straight line. Let .Fbe the given point, and CD the given straight line. It is required to draw a straight line through...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...precept and theory." Write from memory the substance of the passage read to you by the Inspector. 1. To draw a straight line through a given point parallel to a given straight line. Through two given points draw two lines forming with a line given in position an equilateral triangle....
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...to each, and also the third angle of the one equal to the third angle of the other. Section II. 1. Draw a straight line through a given point parallel to a given straight line. If any straight line joining two parallel straight lines be bisected, all the straight lines drawn...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...is || CD. (i. 27) Therefore, straight lines which are parallel, &c. QED PROPOSITION XXXL PROBLEM. To draw a straight line through a given point parallel to a given straight line, Let A be the given pt., BC the given st. line. It is required to draw through the pt. A a st. line...
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