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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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...+ b)b. (ii.) (a + b) a = o1 + ab. 20 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 n given angle. 20 5. If a straight line is divided into any two parts, the sum of the squares on the...

Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897
...triangle thus formed with the original one. 6. (a) Show how to describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given angle. I. 42. (b) If the angle be 90° what kind of parallelogram would be described ? (c) Describe...

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 σελίδες
...parallel to the third side. Lesson No. 19 PROPOSITION 42. PROBLEM To describe a parallelogram that shatt 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...

Sessional Papers, Τόμος 32,Τεύχος 10

1899
...to bisect a given rectilineal angle, give demonstration. 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 the bisectrix of two angles of a triangle are equal show that the triangle is isosceles. 4. The...

Examination Papers

University of Toronto - 1900 - 1158 σελίδες
...EUCLID. [AC McKAY, BA Examiners :-! A. ODELL. [W. PBENDERGAST, BA 1. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given angle. (Euclid, Book I, Prop. 42.) 2. Prove that the square described on the hypotenuse of a right...

A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Βιβλίο 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 σελίδες
...is equal to half the parallelogram. PROPOSITION 42. PROBLEM. To describe a parallelogram that sludl be equal to a given triangle, and have one of its angles equal to a given angle. Let ABC be the given triangle, and D the given angle. It is required to describe a parallelogram...

Calendar

University of Sydney - 1900
...logarithms to base 10 of 5, 6, 7, 8, 9. GEOMETRY. 1. Describe a parallelogram that shall be equal in area to a given triangle, and have one of its angles equal to a given angle. 2. The side AB of a triangle ABC is greater than the side AC ; shew that the median AX makes...

Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...equal to a given square. 8. To a given straight line to apply a parallelogram which shall be eqiial to a given triangle and have one of its angles equal to a given angle. 9. The square on a straight line is four times the square on half the line. PQE is a triangle...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 σελίδες
...line of an unlimited length, from a given point without it. 2. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. On the perpendicular AD of an equilateral triangle ABC another equilateral triangle EAD is described...

Report of the Committee of Council on Education in Scotland...[without Appendix]

1902
...equal to the angle of an equiangular polygon of twelve sides. 4. Descrilw a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle.' Describe a parallelogram which shall bo equal to a given triangle, "• and have one of its...




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