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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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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 sider
...they are alternate angles; therefore AB is parallel to CD (Proposition 27). 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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Observational Geometry

William Taylor Campbell - 1899 - 240 sider
...area as the other two together. What is the length of a fence which will enclose his new land ? 6. To draw a straight line through a given point parallel to a given straight line. Using a Ruler and Squaxe. (a) With the aid of a ruler and square. Suppose you wish to draw through...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...impossible. Therefore AB and CD never meet ; that is, they are parallel. 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 A a straight...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...be readily deduced from Playfair-s Axiom, of which it is the converse. 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 A a straight...
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The New Teaching

John Adams - 1918 - 428 sider
...in full, and with chapter and verse for every statement, how according to Euclid it was possible to draw a straight line through a given point parallel to a given straight line ; but he had never worked such a problem in practice, he was probably unacquainted with the use of...
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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - 2001 - 602 sider
...27 to construct a line parallel to the given line, as follows: Proposition 31: (Construction) How to draw a straight line through a given point parallel to a given line. B DC Figure 3.11 Constructing a line parallel to a given line Proof: (See Figure 3.11.) Let A...
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Parliamentary Papers, Volum 17

Great Britain. Parliament. House of Commons - 1871
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 2. Draw a straight line through a given point parallel to a given straight line. AB, AC, are two straight lines cutting each other in A, and D is a given point ; draw from D a straight...
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The Elements of Plane Geometry

Euclid - 1845 - 262 sider
...isosceles triangle in which the vertical angle is three times each angle at the base. 82. PROP. 12. To draw a straight line through a given point parallel to a given straight line. To draw a straight line through _ the given point C parallel to the "V* s\ given straight line AB....
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The American Mathematical Monthly: Devoted to the Interests of ..., Volumer 9-10

1902
...astounding achievement of Bolyai's young genius, his § 34, where he solves for his universe, En., I, 31, To draw a straight line through a given point parallel to a given straight line. His brilliant lead was followed more than half a century later by Gerard, but it is Barbarin who has...
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The calendar of the University college of Wales

Wales univ, univ. coll. of Wales - 1878
...that every point on the bisecting line is at equal distances from the sides containing the angle. 2. Draw a straight line through a given point parallel to a given straight line. 3. Prove that the three interior angles of every triangle are together equal to two right angles. 4....
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