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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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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882
...to the given triangle ; show that the whole figure is an equilateral triangle. (10.) 10. Show how to draw a straight line through a given point, parallel to a given straight line. 11. Show that parallelograms on the same base and between the same parallels are equal. Show how to...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...PROB. 5, At a given point in a given straight line to make an angle equal to a given angle. PROB. 6. To draw a straight line through a given point parallel to a given straight line. PROB. 7. To construct a triangle having its sides equal to three given straight lines, any two of which...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 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 EC the given straight line : it is required to draw a straight line through...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...may be used.] _ I. Define rhombus, rhomboid, trapezium, parallel, straight lines, parallelogram. To draw a straight line through a given point parallel to a given straight line. A Rhombus is a four-sided figure having all its sides equal, but its angles are not right angles. A...
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An Elementary Treatise on Conic Sections

Charles Smith - 1883 - 352 sider
...equations, we have the required condition, viz. I , m, n = 0. I', m, n , b , c 255. To find the equation of a straight line through a given point parallel to a given straight line. Let the equation of the given line be li -f wi/3 + ny = 0. The required line meets this where an +...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...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 text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...therefore AB is parallel to CD. I. 27. Therefore, straight lines &c. QE p. PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. GIVEN A and EC ; IT is REQUIRED TO DRAW through A a straight line parallel to BC. D being a point in...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...without cutting, when produced without 'imit, either AB or CD. 73. 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 a straight line through...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...to the angle HEG, /. 18. that is, AL makes with BC an angle equal to the angle DEF. QEF PROS. 6. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line : it is required to draw through A a straight...
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The elements of plane geometry, Volum 1

Mathematical association - 1884
...equal to the angle HEG, /. 18. that is, AL makes with BC an angle equal to the angle DEF. FROB. 6. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line : it is required to draw through A a straight...
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