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" PROB. 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. "
Outlines of Geometry ... - Seite 51
von Walter Marsham Adams - 1866
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 Seiten
...it is proved, as required, that ABC is an equilateral triangle, described upon AB. QEF B PROP. II. PROBLEM. 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 A a straight...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 Seiten
...it equilateral, [Def. 24. and it is described cm the given straight line AB. QEF r W PROPOSITION 2. PROBLEM. 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...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 Seiten
...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 Seiten
...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 Seiten
...— The definition of a circle; and of an equilateral triangle : and Axiom i. General Enunciation. From a given point to draw a straight line equal to a given straight line. Particular Enunciation. Given. — The point A and >A the straight line B C. Required. — To draw...
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The Cambridge Examiner, Band 4

1884 - 538 Seiten
...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 - 1881 - 236 Seiten
...triangle upon 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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Class lessons on Euclid

Marianne Nops - 1882 - 278 Seiten
...AC (ax. 1), and A ABC is 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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Unitary Arithmetic: Embodying the First Book of Arithmetic of the Irish ...

Alexander Kennedy Isbister - 1882 - 190 Seiten
...equilateral ; md it is described upon the given straight line AB. Which was required to be done. PROP. IL— PROBLEM. From a given point to draw a straight line equal to a given straight lav. (Reference» — Prop. I. 1 : post. 1, 2, 3 ; ax. 1, 3 ; def. 15.) From ' First Steps to Euclid...
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American Journal of Education and College Review, Band 32

1882 - 1112 Seiten
...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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