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" Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC. "
Introduction and books 1,2 - Страница 257
написао/ла Euclid - 1908
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 страница
...found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point A. as а Л centre, with a radius...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 страница
...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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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - 1857 - 442 страница
...four equal 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 BC the given line. From the point A as a centre, „ E with a radius J.-E'jgreater than the shortest distance from...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 страница
...bisections an arc or angle may be divided into four equal parts, intc eight, sixteen, &c. PROBLEM VI. Through a given point, to draw a straight line parallel to a given line. Let A be the given point, and BC the B Be given straight line ; it is required to draw 7through...
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Elementary geometrical drawing, Део 1

Samuel H. Winter - 1859 - 56 страница
...i. 8. The construction, however, is somewhat simpler than that in Euc. i. 23. PROBLEM III. Through a point to draw a straight line parallel to a given straight line. Let MN (PI. I. Fig. 3) be the given line, P the point. With P as a centre describe a circle, cutting MN...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 страница
...was required to be done. PROPOSITION II. PROBLEM. From a given point, to draw a straight line equal to a given straight line. Let A be the given point, and .BCthe given straight line. It is required to draw from the point A, a straight line equal to BC. From...
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Elementary geometrical drawing

Samuel H. Winter - 1861 - 172 страница
...required. The construction may be seen in Fig. 30, where (am, a'm!) is the bisecting line. PROBLEM XXVIII. Through a given point to draw a straight line parallel to a given plane. This problem is indeterminate, since a straight line drawn parallel to any line in the plane...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 страница
...or a given arc may be divided into four equal parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel...given straight line. Let A be the given point, and A -^ B CD the given straight line. ""•••..... From A draw a straight line, '""••.... _ AE,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 страница
...arc may be divided into four equal parts, into eight, into sixteen, <fec. PROBLEM VII. 302. Tlirough a given point, to draw a straight line parallel to...given straight line. Let A be the given point, and A — • — B CD the given straight line. "•••-... From A draw a straight line, ""••-........
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 страница
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Tlirough a given point, to draw a straight t parallel to a given straight line. , Let A be the given point, and A ~ С D the given straight line. From A draw a straight line, „ ""••• AE, to any point, E,...
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