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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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 40
των Euclid, James Thomson - 1837 - 390 σελίδες
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 σελίδες
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that shall contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle ; draw...

Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...times the sain of the digits ; find the number. Pure Mathematics. 1. 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 rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment....

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871 - 136 σελίδες
...M, N. Shew that the triangle MBN is equal to the triangle MDC. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of it* angle* equal to a given angle. HA Let AB be the given st. line, C the given A, D the given / ....

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...

First book of mathematics

Hugo Reid - 1872 - 146 σελίδες
...contact. Problem, 41. 169. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. Let AB be the given straight line, and H the given angle. At B make the angle ABD equal to H. Bisect AB in E. At E and B draw perpendiculars...

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

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its a..gles equal to a given angle. B JJ C Let ABC be the given A , and D the given L . It is required...

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

Henry Major - 1873 - 580 σελίδες
...two 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 angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. Bisect BC in E,...

Civil service guide

Robert Johnston (F.R.G.S.) - 1873 - 208 σελίδες
...also the third angle of the one to the third angle of the other. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any...

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...

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

Richard Wormell - 1876 - 268 σελίδες
...any parallelogram are equal 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...




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