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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 Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Σελίδα 45
των Robert Simson - 1775 - 520 σελίδες
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The Cambridge Examiner, Τόμος 2

1882 - 498 σελίδες
...demonstration, indirect demonstration. Give examples of each. 2. 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 two exterior angles of a triangle be bisected, and from the point of intersection of the bisecting...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 σελίδες
...also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal triangle. 6. In any right-angled triangle, the square which is described on the side subtending the...

The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 σελίδες
...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...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...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 angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle : it is required to describe a parallelogram...

The Practical Teacher, Τόμος 2

1883 - 654 σελίδες
...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...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883 - 568 σελίδες
...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...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 σελίδες
...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...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 σελίδες
...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...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1884 - 154 σελίδες
...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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