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" To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD,... "
The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 36
by Euclid, James Thomson - 1845 - 352 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...angle ABM equal to the given angle J>. QEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 258 pages
...the angle contained by the two sides equal to them of the other. 3. Describe a parallelogram equal to a given rectilineal figure and having an angle equal to a given rectilineal angle. Can a rectangle always be described on a given straight line equal to a given rectilineal...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the various constructions that will result. MNO PROPOSITION XLV. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. For the construction in this pi-< 'position we must be able, — 1. To join two...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...is applied to AB, is equal to C, and has ABM equal to D. XLV. — To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given figure, and E the angle. Join DB, and describe the parallelogram...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. CONSTRUCTION. — Join DB. A r1 y c> Describe the parallelogram FH equal to the triangle ADB, and having...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...equal to II. PROP. XXXV— PROBLEM. (Euc. I. 45.) On a given line to describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given angle. Let AB be the given straight lino, and C the given angle. 1. Let the given figure be the triangle D. By...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...angle ABM equal to the given angle DQEF PROPOSITION 45. — Problem. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...triangle equal in area- to a given triangle. PROPOSITION 45. PROBLEM. Tn describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. * Let ABCD be the given rectilineal figure, and ' • E the given rectilineal angle...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. CONSTRUCTION. — Join Describe the parallelogram FH equal to the triangle ADB, and Laving the angle...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...the former have their middle points in the same straight line. 2. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. What is the construction in this proposition ? 1. Divide 1 — x + se- to four terms....
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