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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 36
των Robert Simson - 1781 - 466 σελίδες
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. For the construction necessary in this proposition we must be able, — 1. To join two given points...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...triangle MDC. PROPOSITION XLIV. PROBLEM. 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 angle. Jl Let A3 be the given st. line, C the given A, D the given L , It ix required to apply to AB...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...equal parts ; wherefore ABCD is also double of EBC. XLII. — To describe a parallelogram that shall be equal to a given triangle, and have one of its...given triangle, and D the given rectilineal angle. Bisect BC in E, join AE, and at the point E in the straight line EC make the angle CEF equal to D ;...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 σελίδες
...parallelogram BD. PROPOSITION 44. PROBLEM. 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. * Let AB be the given straight line, and C the ' • given triangle, and I) the given rectilineal angle :...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...&c. QED PKOPOSITION 44. — Problem. 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. HAL Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle....

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...&c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which thall be equal to a, given triangle, and have one of its angles equal to a given rectilineal angle. GEOMETRY. Make paralleloI.Tam BEFG = A < ', and / at li = i D, and EBAa straight line. HBandFE meet....

Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 σελίδες
...parallels, are equal to one another. 4. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. Define a rhombus, and show that its opposite angles are equal. 6. If a straight line be drawn through...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...&c. QED Proposition 44. — Problem. 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. Let AB be the given straight line, C the given triangle, and D the given angle. It is required to apply...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...to one another. .. .. .. .. 141 44. 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 16s 45. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...between the fcame parallels are equal. 2. 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. 3. If a straight line he divided into any two parts, the square on the whole line is equal to the squares...




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