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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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...42, 44 ; ax. 1,2; i. 34, def.) 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 AC, and describe the parallelogram FH equal to the triangle ABC, and having the angle...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...the angle ABM equal to the 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. (References— Prop. I. 14, 29, 30, 42, 44; ax. 1, 2; def. 35.) Sought. — It is...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...without the triangle, between the perpendicular and the obtuse angle. 10. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. V. Algebra. 1. If a = i, b = — i, c = 2, find the value of 2. From (a+i)2x—...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...angle ABM equal to the given angle DQEF 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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...sides. 29. Bisect a triangle by a line drawn parallel to one of its sides. 30. Describe a rhombus, equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 31. Through a given point draw a line so that, if perpendiculars be dropped upon...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...angle ABM equal to the given angle DQEF 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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 360 pages
...equal to a given twtilineal angle. ABCD be the given rectilineal figure, ami E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and bartag an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH equal to the triangle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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. HM Join DB, and describe the parallelogram FH equal to the triangle ADB, and having the angle FKH equal...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...having the angle ABM equal to the angle DQEF PROPOSITION 45. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal aiiffle. Let A BCD be the given rectilineal figure, and E the given rectilineal angle:...
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Papers for the schoolmaster, Volume 4

1868 - 344 pages
...opposite to the fqual angles of any triangle, are equal. Prove UUi. 6. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 1. All the three angles of a triangle are equal to two right angles. Prove this,...
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