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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.
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 29
των Euclides - 1853 - 147 σελίδες
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...B c 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, join AE, and at the point...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...Therefore, if a parallelogram &c. QED PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. GIVEN tlie triangle ABO and the rectilineal angle D; IT is REQUIRED TO DESCRIBE a parallelogram equal...

Yale Examination Papers

F. B. Stevens - 1884 - 175 σελίδες
...the two straight lines shall be parallel to one another. 2. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the...

University local half-hour examination papers

...let fall upon it from the opposite angle, and the acute angle. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In any right-angled triangle, the square described on the side subtending the right angle is equal...

Cambridge University Examination Papers

University of Cambridge - 1884
...sides and angles of parallelograms are equal to one another. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...

The Practical Teacher, Τόμος 3

1884
...same parallels. Prop. 39, Bk. I. 3. 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 ancle. Prop. 44, Bk. I. Algebra. MALES. Answer two questions. I. When a = 3, ¿ = 7, find the value...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884
...diameter divides it into two equal parts. (9) 9 . Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10) 10. In a right-angled triangle, show that the...

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...of any ||m equal in every respect ? On a given straight line to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. FEK Let AB be the given straight line, C the given triangle, and D the given angle : it is required...

Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...times as great as the base WY. QEF 2. (a) 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 that of the given triangle. (a) See Euclid I., proposition 44. (b) Let KLO be an equilateral triangle....

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...angle PAC be greater than the angle PAB. 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. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...