| Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...of the angles F, G, H, K, L is two right angles. (14.) 10. 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. ABCD is a parallelogram, and the side BCis produced to E, so that CE may equal BC; if AE is... | |
| 1894 - 1174 pages
...to two right tingles, the two straight lines shall be parallel. 12. To describe a parallelogram that **shall be equal to a given triangle, and have one of its angles equal to** а given angle. 13. Show without producing the side of a triangle that the sura of its three interior... | |
| Apollonius (of Perga.) - Conic sections - 1896 - 444 pages
...properties aa presented by 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...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 - Education - 1897 - 456 pages
...— (i.) (a + b)* = (a + b)a + (a + 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 pages
...of the 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 pages
...other parallelograms are equal besides the pair of complements ? Lesson No. 20 PROPOSITION 44. PROBLEM **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle : it... | |
| Canada - 1899 - 1072 pages
...1. How 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... | |
| 1899 - 972 pages
...accepted. Dr. MORAN, Head Inspector. Mr. PEDLOW, District Inspector. A. 1. To a given straight line **apply a parallelogram which shall be equal to a given triangle, and have** an angle equal to a given one. 2. Prove that the square on the difference of two lines is less than... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...(ii) If KB, KD are joined, the triangle AKB is equal to the triangle AKD. PROPOSITION 44. PROBLEM. **To a given straight line to apply a parallelogram...triangle, and have one of its angles equal to a given** angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required... | |
| University of Toronto - 1900 - 1158 pages
...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... | |
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