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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...CD. (i. 27.) Wherefore, straight lines which are parallel, &c. QKI). PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given stmiyh line. Let A be the given point, and BC the given straight line. It is required to draw, through...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...AGK is equal to the angle GKD; (ax. 1) and they are alternate angles ; PROP. XXXI. — PROBLEM. To draw a straight line through a given point, parallel to a, given straight line. (Beferences — Prop. i. 23, 27.) Let A be the given point, and BC the given right line. It is required...
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Responsions

University of Oxford - 1863
...sides is a right angle. 6. Describe a square that shall be equal to a given rectilineal figure. 7. Draw a straight line through a given point parallel to a given straight line. 8. On the same base, and on the same side of it, there cannot be two triangles having their sides which...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...to CD. (I. 27.) Wherefore, straight lines which are parallel, &c. QED 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, through the point...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...Straight lines which are parallel to the same straight line, are parallel to each other. Prop. 31. To draw a straight line through a given point parallel to a given straight line. Prop. 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...therefore AB is parallel to CD. [I. 27. Wherefore, 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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Papers for the schoolmaster, Volum 4

1868
...other sides, aud show that the perimeter of the parallelogram so formed is a constant quantity. 3. Draw a straight line through a given point parallel to a given straight line. SECTION IV. 1. The opposite sides and angles of a parallelogram are equal, and the diagonal bisects...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...straight lines, each to each, the first pair make the same angles with one another as the second. To draw a straight line through a given point parallel . to a given straight line. Let A be the given pt. and BC the given st. line. It is required to draw through A a st. line II to....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...each, the first pair make the same angles with one another as the second. PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. E Let A be the given pt. and BC the given st. line. It is required to draw through A a st. line \\...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...28th proposition that these two right lines AB and CD are parallel to each other. PROPOSITION XXXI. To draw a straight line through a given point parallel to a given straight line. For the construction requisite in this proposition we must be able, — 1. To join two given points...
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