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" To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 41
av Euclides - 1853
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...parallelograms which are about the diameter of any parallelogram, arc equal to one another. Prop. XLIV. Prob. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal angle. Prnp. XLV. Prob. To describe a parallelogram equal to a given rectilineal figure, and having...
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Easy Introduction to Mathematics, Volum 2

Charles Butler - 1814
...and also one more : we are " to apply a parallelogram to a given straight line, which parallelogram shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle;" to " apply a parallelogram to a straight line," means to make it on that straight line, or...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...complement BK is equal to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...equal to the remaining complement KD. Wherefore, the complements, &c.. Q, E. I). A PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...triangle EBC. Therefore, if a parallelogram, &c. Q, ED PROP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. 48 KLESfENTSIt is required...
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The First Six Books with Notes

Euclid - 1822 - 179 sider
...be demonstrated that EK is a square. PROP. XLIV. PROB. Fig. 64. See 2f. To a given right line ( OS) to apply a parallelogram, which shall be equal to a given triangle and have an angle equal to a given one ( V). Let the given triangle be GHO, one of whose sides GO and the given...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...equal to the remaining complement KD. Wherefore the complements, &c. QED Proposition XLIV. Problem. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and С the given triangle, and D the given rectilineal angle....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...triangle EBC. Therefore, if a parallelogram, £e. QED PROP. XLII. PROB. To deseribe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a givea reetilineal angle. Let ABC be the giyen triangle, and D the given reetilineal angle* D C It is...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...BK, is equal f to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle....
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 sider
...each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Solution. Construct the parallelogram BEFG...
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