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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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Guide to preliminary army examination

John Gibson - 1881
...shall be parallel. This is the twenty -seventh proposition. IV. Describe a parallelogram which shall bo equal to a given triangle and have one of its angles equal to a given rectilineal angle. This is the forty-second proposition. V. ABC is an isosceles triangle, having the sides AC and BC equal....

Elements of Geometry

Simon Newcomb - 1881 - 399 σελίδες
...to the original polygon. PKOULBM II. 318. To describe a parallelogram which shall' be equal in area to a given triangle, and have one of its angles equal to a given angle. Given. A triangle, ABC; an angle, X. Required. To construct a parallelogram having one of its...

The Cambridge Examiner, Τόμος 2

1882
...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
...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...

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...

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...

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

Euclid - 1883
...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
...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
...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 - 96 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...




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