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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: Also the Book of Euclid's Data ...cor. viz. The ... - Side 36
av Robert Simson - 1804
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Class lessons on Euclid

Marianne Nops - 1882
...depends on the principles which we have just learnt. The first is to describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given angle. First we must ask what do we know about the relations of parallelograms and triangles in point...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...is meant here by the word equal ? 6. On a given straight line describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. Can all the angles of the parallelogram, be equal to this given angle ? 7. A straight line AH...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...parallelogram &c. QBD EUCLID'S ELEMENTS. PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...two triangles are equal in every respect, and AC = CD. QEF 3. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. See Prop. 42, Bk. I. Algebra. MALES. (Pupil teachers are expected to show that they have learnt the...
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The Practical Teacher, Volum 2

1883
...triangles are equal in every respect, and AC = CD. QET-. 3. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. See Prop. 42, Bk. I. Algebra. MALES. (Pupil teachers are expected to show that they have learnt the...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...bisects the parallelogram. PROP. 44. PROB. 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. HD Given AA, L. B, and st. line CD. To apply to CD a parallelogram (ie, so that CD shall be...
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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...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;...
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Yale Examination Papers

F. B. Stevens - 1884 - 175 sider
...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...
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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...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1884
...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...
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