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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 first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 sider
...angles; therefore AB is parallel (i. 27.) to CD. "Wherefore 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 line A...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850
...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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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...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 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...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 to a given straight line. LET a be the given point, and b С the given straight line ; it is required to draw a straight liae...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 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. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...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 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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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 sider
...direction. The shortest distance is always found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point...
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Parliamentary Papers, Volum 7

Great Britain. Parliament. House of Commons - 1859
...terms, viz. : — A jriom, Postulate, Problem, Theorem ; also the terms Lin<>, Angle, and Surface. 2. To draw a straight line through a given point parallel to a given straight line. — Euclid I., 31. 3. The interior angles of a polygon are equal to twice as many right angles, diminished...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...other ; the base of that which has the greater angle shall be greater than the base of the other. 6. Draw a straight line through a given point parallel to a /• given straight line. 7. In any right-angled triangle, the square which is described upon the side subtending the right angle...
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