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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 Euclid, Robert Simson - 1838 - 416 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 sider
...therefore equilateral, and it is described upon the given straight line AB. PROP. II. PROB. From a given point to draw a straight line equal to a given straight...Let A be the given point, and BC the given straight iine ; it is required to draw, from the point A, a straight line equal to BC. From the point A to B...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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,...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 D, and join...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853
...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...BC the given straight line. It is required to draw through A a straight line parallel to BC. In BC take any point D ; EA and join AD. At the point 7 A...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...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 through the point a, parallel...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...upon the given straight line AB. Which was required to be done. PROPOSITION II. PBOB. From a given point to draw a straight line equal to a given straight line. From the point A to B draw (1 Post.) the straight lino AB ; and upon it describe (1. I.) the equilateral...
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The popular educator, Volum 4;Volum 7

Popular educator - 1852
...elementary abstractions of Geometry r Distinguish between a postulate and an axiom. 2. From a given point to draw a straight line equal to a given straight line. 3. If two angles of a triangle be equal to each other, the sides also which subtend the equal angles,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 432 sider
...parts, into eight, into sixteen, and so on. PROBLEM VI. Through a given point, to draw a line parallel to a given straight line. Let A be the given point, and BO the given line. From the point A as a centre, F .g with a radius AE, greater than the shortest distance...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...finite 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 line. Let A be the given point, and B С the given straight line. It is required to draw from the point A a straight line equal to B С....
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 sider
...416 CYCLOPEDIA OF MATHEMATICAL SCIENCE. 417 To draw a straight lute through a given point parallel to a given straight line. Let A be the given point, and B~ ~-\ С В С the given une. From the point A, as а centre, with a radius greater than the shortest...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...station 0, the distance from B to A, or from C to A, will be ascertained. PROP. 2. — PROB. From a given point to draw a straight line equal to a given straight line. SOLUTION. — Pst. 1. A st. line may be drawn from any point to any other point. P. 1. On a given line...
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