 | Apollonius (of Perga.) - 1896 - 444 páginas
...him. The problem in Euclid i. 44 is " to apply to a given straight line a parallelogram which shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle." The solution of this clearly gives the means of adding together or subtracting any triangles, parallelograms,... | |
 | Queensland. Department of Public Instruction - 1897 - 446 páginas
...+ 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... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 páginas
...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... | |
 | Seymour Eaton - 1899 - 362 páginas
...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... | |
 | 1899 - 1072 páginas
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...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... | |
 | University of Toronto - 1900 - 1164 páginas
...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... | |
 | University of Sydney - 1900 - 646 páginas
...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... | |
 | Manitoba. Department of Education - 1900 - 558 páginas
...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... | |
 | Eldred John Brooksmith - 1901 - 368 páginas
...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... | |
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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. 
