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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 32
by Euclides - 1834

## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...showing that C3m BD = 2 A ABC, which = 2 A EBC. PROPOSITION Problem. To describe a parallelogram, that shall be equal to a given triangle, and have one of its angles to a given rectilineal XLII. Steps of the Demonstration. 1. Prove that whole A ABC = 2 A ACE, 2. that...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...remaining complement KD. Wherefore the complements, &c. a. i:. D. PROP. XLIV. PROS. To a given finite straight line to apply a parallelogram which shall...rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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. It is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles...

## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...triangle EliC. Therefore, if a parallelogram, &c. QED 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 E 2 rectilineal angle. It is required to describe a parallelogram...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles e-jual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...equivalent to the remaining complement KD (3. Ax.). Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equivalent to a given triangle, and have one of its angles equal to a given rectilineal angle. Let...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles ejual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - Geometry - 1845 - 382 pages
...equal.* Wherefore, if through any point, &c. PROP. XLIV. PROB. — To a given straight line to applyt a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let AB be a given straight line, C a given triangle, and D a given angle. It is requiredto apply...