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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. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...raised and let fall by a square, or other suitable instrument. 11. Through a given point to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A, as a centre, with a radius greater than the shortest distance from...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side subtending the...
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Papers for the schoolmaster, Volume 3

1867 - 336 pages
...the other equal sides shall be parallel to one another, or be inclined at equal angles. 2. Shew how to draw a straight line through a given point, parallel to a given straight line. Determine the locus of the vertices of all equal triangles ou the same base and on the same lide of...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...therefore AB is parallel b to CD. "Wherefore straight lines, &c. QED ,F D BOOK I. PROP. XXXI. PROB. To draw a straight line through a given point parallel...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...four equal parts, into eight, into sixteen, and so on. PEOBLEM VI. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A as a centre, | with a radius greater than the shortest distance from...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, straight lines, etc. QED PROPOSITION XXXI. PROS. To draw a straight line through a given point parallel...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...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...therefore (I. 27.) 4. AB is parallel to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel...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...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...another: therefore AB is parallel (i. 27) to CD. Which was to be proved. /KH A. r / 0 D PEOP. XXXI. PEOB. To draw a straight line through, a given point parallel...given straight line. Let A be the given point and BC the given straight line. It is required to draw through A a straight line parallel to BC. In BC take...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...therefore ab is parallel (i. 27) to Сd; / Wherefore, straight lines, &c. QED PROPOSITION XXXI.— PROBLEM. To draw a straight line through a given point parallel...given straight line. LET a be the given point, and b С the given straight line ; it is required to draw a straight liae through the point a, parallel...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...equal parts, into eight, into sixteen, and so on. PROBLEM VI. Through a given point, to draw a line parallel to a given straight line. Let A be the given point, and BO the given line. From the point A as a centre, F .g with a radius AE, greater than the shortest distance...
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