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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,... "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Side 72
av Euclides - 1874
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...triangle C, and having the angle ABM equal to the given angle J>. QEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal...angle. It is required to describe a parallelogram that shall be equal to the figure ABCD, and having an angle equal to the given angle E. DFGL A HM Join...
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Papers for the schoolmaster, Volum 4

1868 - 344 sider
...parallel lints. 2. The sides opposite to the fqual angles of any triangle, are equal. Prove UUi. 6. Describe a parallelogram equal to a given rectilineal...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, and stato some other...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 258 sider
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. Describe a parallelogram equal to a given rectilineal...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 figure ?...
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The first and second books of Euclid explained to beginners, by C.P. Mason

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

Henry Major - 1873 - 580 sider
...ABM is equal to D : therefore LB is applied to AB, is equal to C, and has ABM equal to D. XLV. — To describe a parallelogram equal to a given rectilineal...to a given rectilineal angle. Let ABCD be the given figure, and E the angle. Join DB, and describe the parallelogram FH equal to the triangle ADB, having...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 sider
...Proposition 45.— Problem. To describe a parallelogram equal to a rjiven rectilineal figure, and luvoing an angle equal to a given rectilineal angle. Let ABCD...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.) - 1874 - 236 sider
...parallelogram DB, and has an angle 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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...sides produced if necessary, the three points of concourse are in one line. 27. Describe a rhombus equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 28. In a given right-angled triangle inscribe a square having one of its sides coinciding with the...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...equal to the angle DQEF But BP = AC .-. LB = / ABJJ' .. GBE = ^ D. Proposition 45. — Problem. . To describe a parallelogram equal to a given rectilineal figure, and having an angle eqiuil to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...i D. Proposition 45. — Problem. To describe a parallelogram equal to a given rectilineal Jifjure, and having an angle equal to a given rectilineal angle....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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