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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 12
av W J. Dickinson - 1879 - 36 sider
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The Cambridge Examiner, Volum 4

1884 - 538 sider
...by the sides equal to them, of the other. 5. 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. 6. Divide the area of a circle into three equal parts, which shall also have equal perimeters. , ....
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Guide to preliminary army examination

John Gibson - 1881 - 302 sider
...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....
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Elements of Geometry

Simon Newcomb - 1881 - 418 sider
...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...
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The Cambridge Examiner, Volum 2

1882 - 498 sider
...proposition, negative proposition, direct demonstration, indirect demonstration. Give examples of each. 2. Describe a parallelogram that shall be equal to a...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...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...some problems the solution of which depends on the principles which we have just learnt. The first is to describe a parallelogram that shall be equal to...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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 sider
...parallel to the diameter. SECTION III. 1. 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. On the base of a given triangle to construct an oblong equal to one-fourth of the given triangle. 2....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 sider
...are 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...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 sider
...parallels. What 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 - 428 sider
...the triangle EBC. Wherefore, if a parallelogram &c. QBD EUCLID'S ELEMENTS. PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be equal to...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883 - 568 sider
...= the side EA, therefore (i. 26) the two triangles are equal in every respect, and AC = CD. QEF 3. To describe a parallelogram that shall be equal to...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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