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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 Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...figure. 4. Given one side and the area of a rectangle ; find the other side. 5. Describe a ||m equal to a given rectilineal figure, and having an angle equal to a given angle, using I. 37, Cor. 6. Describe a |[m equal to the sum of two given rectilineal figures. 7. Describe...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 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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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...which join the extremities towards opposite parts, bisect each other. 4. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Shew that if a parallelogram be a rhombus, each of the parallelograms described...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...described on either side of the given line. PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. GIVEN t/ie rectilineal figure A BCD, and the rectilineal angle E; IT is REQUIRED...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...triangle, without applying XLIII. 98. 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 elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...angle. « Let ABCD be a given figure of four sides, E the given angle : it is required to construct a parallelogram equal to ABCD and having an angle equal to E. AFKM Join AC. Construct the parallelogram FGHK equal to the triangle ABC, and having the angle FGH...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...which join the extremities towards opposite parts, bisect each other. 4. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Shew that if a parallelogram be a rhombus, each of the parallelograms described...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...another, the two straight lines shall be parallel to one another. 5. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. For Admission as Teacher of the Third Class. (Three hours allowed.) 1. (a) Distinguish...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...equivalent to this triangle. [By I. 42. 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 rectl. figure, and E the given rectl. L ; it is required to...
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The Educational Record of the Province of Quebec: The Medium ..., Volume 11

Education - 1891 - 442 pages
...themselves equal and parallel. State the converse of this proposition. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line...
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