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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 the Civil service

Henry White - 1864
...examination. A. — PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...Therefore if a parallelogram, &c. QED PROP. 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. (References— Prop. I. 10, 23, 31, 38, 41; ax. 6; def. I. 34.) Let ABC be the given triangle, and...

Papers Read at the Royal Institute of British Architects

1865
...triangles. 4. Prop. 44. — Problem. 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. Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...the angle B to E. PROPOSITION XXVII. PROB. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A a given point in it, and DCE the given rectilineal angle, it is required to make an angle at the...

Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...one to the third angle of the other. 2. 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. 3. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole...

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

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...Wherefore, if a parallelogram &c. QED 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 Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...equal 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...

A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...having the same baae and altitude. 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...

Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...parallels, are equal to one another. 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. Define a rhombus, and show that its opposite angles are equal. 6. If a straight line be drawn through...




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