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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 10
av Robert Simson - 1838 - 416 sider
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 sider
...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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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 452 sider
...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 sider
...and place each of the two parts of the following propositions in its proper column. 1. From a given point to draw a straight line equal to a given straight line. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. If two triangles...
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Papers for teachers

1880 - 594 sider
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...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...to draw from the point A a straight line equal to B C. From the point A to B draw (Post. 1) the straight line AB. Upon AB describe (I. 1) the equilateral...
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The Cambridge Examiner, Volum 4

1884 - 538 sider
...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 Practical Teacher, Volum 1,Utgave 1

1882 - 676 sider
...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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The American Journal of Education, Volum 32

Henry Barnard - 1882 - 1112 sider
...The Second Proposition presents more difficulty. For when the child learns that he is "from a given n the same space of time have been in any other he could have he naturally replies that he can do it at once, by tneaturing with his pencil from the given point...
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American Journal of Education and College Review, Volum 32

1882 - 1112 sider
...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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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...equilateral, &c. QED Prop. II. We pass on to the second proposition, also a problem, ' From a given point to draw a straight line equal to a given straight line.' Mark any point A and draw a straight line BC to represent the given line. From our work in the last...
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