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" From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw, from the point A, a straight line equal to BC. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 5
by Euclides - 1853
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...Euclid's postulates. 3. Write .out the propositions of which the following are the enunciations : — (i.) From a given point to draw a straight line equal to a given straight line. (ii.) To bisect a given rectilineal angle, that is, to divide it into two equal angles. (iii.) If two...
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Papers for teachers

1880 - 594 pages
...Census." Euclid. — i. Write out the particular enunciation (only) of the Third Proposition of Book I. 2. From a given point to draw a straight line equal to a given straight line. 3. Two straight lines AB, CD, intersect at E ; show that the bisectors of the angles AED, EEC are in...
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An elementary treatise on geometrical drawing

John Henry Robson - 1880 - 116 pages
...required. 7. Through a given point to draw a straight line parallel to a given straight line. 4L BE DC Let A be the given point, and BC the given straight line. In BC take any point D. With D as center and radius DA describe the arc AE, cutting BC in E. With center...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1880 - 452 pages
...Through a given point to draw a straight line parallel to a given line. j 3L_? ^et ^ ^e tlie Siven point, and BC the given ..--•' straight line; it is required to draw through -±L the point A a straight line parallel to BC. In BC take any point D, and join AD. Then,...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...angle, a parallelogram, a gnomon, an isosceles triangle, an obtuse-angled tria,nglet a boundary. 2. From a given point to draw a straight line equal to a given straight line — give construction and proof for the case in which the given point coincides with one of the extremities...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...a given unite straight line, that shall have each of its sides double the base. PROP. II. PROBLEM. From a given point to draw a straight line equal to a given straight tint. Let A be the given point, and BC the given straight line. It is required to draw from the point...
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The American Journal of Education, Volume 32

Henry Barnard - Education - 1882 - 1112 pages
...Proposition. — The Second Proposition presents more difficulty. For when the child learns that he is 1{ he naturally replies that he can do it at once, by tneaturing with his pencil from the given point...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...admissible.] 1. Write out the particular enunciation (only) of the third proposition of Book I. 2. From a given point, to draw a straight line equal to a given straight line. 3. Two straight lines AB, CD, intersect at E ; show that the bisectors of the angles AED, ВЕС are...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...drawn, according to the relative position of the point A and BC. SUMMARY OF PROPOSITION II., PROBLEM 2. From a given point to draw a straight line equal to a given straight line. Cons. — Join AB, and on it describe the equilateral A DAB. With radius BC draw circle GCH. Produce...
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American Journal of Education and College Review, Volume 32

Education - 1882 - 1112 pages
...Proposition. — The Second Proposition presents more difficulty. For when the child learns that he is " from a given point to draw a straight line equal to a given straight line," he naturally replies that he can do it at once, by measuring with his pencil from the given point a...
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