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" To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB. "
Elementary text book for young surveyors and levellers - Page 8
by Henry James Castle - 1856 - 185 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...ABD, and having an angle equal to the given angle. PROP. XLVI. PROB. Book I. To describe a square upon a given straight line. Let AB be the given straight line ; it is required to describe a square upon AB. From the point A draw a AC at right angles to AB ; and a 11. l. make b AD...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...II. Equal triangles of equal bases, are of equal altitude. PROP. XVI. PROB. To describe a square upon a given straight line. Let AB be the given straight line ; it is required to describe a square upon AB. From the point A, draw AC at right angles (9. 1.) to AB, and make AD equal...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...whole triangle FDG is equal to the figure ABCDE. PROPOSITION XL VI. PROBLEM. To describe a square upon a given straight line. Let AB be the given straight line ; it is required to de, scribe a square upon AB. From the point A draw (I. 11) AC at right angles to AB, and make (I. 3)...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...to a *44. i. given rectilineal figure.* PROP. XLVI. PROB. To describe a square upon a given finite straight line. Let AB be the given straight line; it is required to describe a square upon AB. , From the point A draw* AC at right angles to ,3 1 ' AB ; and make* AD...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...triangle ABD, and having an angle equal to the given angle. PROP. XLVI. PROB. To describe a square upon a given straight line. Let AB be the given straight line; it is required to describe a square upon AB. * 11. 1. From the point A draw* AC at right angles to AB; * 3. 1. and make*...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...triangle, and consequently to the given rectilineal figure. PROP. XL VI. PROB. To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB. From the point л draw (11. 1.) AC at right angles to AB ; and make (3....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...triangle ABD. and having an angle equal to the given angle. PROP. XL VI. PROB. To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB. From the point A draw (11. 1.) AC at right angles to AB ; and make (3. 1.)...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...and having an angle equal to the given angle. PROPOSITION XLVI. PROBLEM. To describe a square upon a given straight line. Let AB be the given straight line. It is required to describe a square upon AB. c From the point A draw AC at right angles to AB ; (i. 11.) make AD equal...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...and having an angle equal to the given angle. PROPOSITION XLVI. PROB. — To describe a square upon a given straight line. Let AB be the given straight line ; it is required to describe a square upon AB. • 11. i. From the point A draw* AC at right angles to AB ; and • 3....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...having an angle equal to the given angle (1. 44) ; &c. PROP. XLVI. PROB. To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB. From the point A draw AC at right angles to AB (1. 11) ; make AD equal to...
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