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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Σελίδα 77
των Euclides - 1879
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Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...EBC (Ax. 1). Therefore, if a parallelogram, &c. QED Make BE = EC and ZCEF=D AP Proposition 42. — Problem. To describe a parallelogram that shall be...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...

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

Euclides - 1874 - 342 σελίδες
...double of the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED PROPOSITION 42. — Problem. To describe a parallelogram that shall be...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...

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

Euclides - 1874 - 120 σελίδες
...the area of a triangle is half that of a rectangle having the same baae and altitude. PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be...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...

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

Braithwaite Arnett - 1874 - 130 σελίδες
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 3. Describe a parallelogram that shall be equal to a...triangle, and have one of its angles equal to a given rectilineal angle. 4. If the square described upon one of the sides of a triangle, be equal to the...

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...

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

Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram...and have one of its angles equal to a given angle. a js o Let ABO be the given A , and D the given / . It is required to describe a O equal to A ABC,...

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

Edward Atkins - 1876 - 130 σελίδες
...also double of the triangle EEC (Ax. 1). Therefore, if a parallelogram, &c. QED Proposition 42.— Problem. To describe a parallelogram that shall be...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...

The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 σελίδες
...two adjacent sides of another parallelogram, the other sides will also be parallel. • .. . i .. 3. To describe a parallelogram that shall be equal to...triangle, and have one of its angles equal to a given rectillineal angle. Algebra.— 1 . Simplify (1 - a) + (a - 1 ) (6 *-B}, -»(],— a) (6 + c — )...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...and 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...

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

Richard Wormell - 1876 - 268 σελίδες
...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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