 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...an acute angle, an obtuse angle, a boundary, a semicircle, a trapezium. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle and shall have one of its angles equal to a given rectilineal angle. 3. Inscribe a circle in a given triangle.... | |
 | Euclides - 1883 - 176 pages
...diagonal of a parallelogram to meet the sides bisects the parallelogram. PROP. 44. PROB. To a given straight line to apply a parallelogram which shall...triangle, and have one of its angles equal to a given angle. HD Given AA, L. B, and st. line CD. To apply to CD a parallelogram (ie, so that CD shall be... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...parallelogram &c. QBD EUCLID'S ELEMENTS. 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... | |
 | Education - 1883 - 658 pages
...the two triangles are equal in every respect, and AC = CD. QET-. 3. To describe a parallelogram that shall be equal to a given triangle, and have one 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... | |
 | Joseph Hughes - Education - 1883 - 578 pages
...the two triangles are equal in every respect, and AC = CD. QEF 3. To describe a parallelogram that shall be equal to a given triangle, and have one 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... | |
 | Euclides - 1884 - 214 pages
...complement HDFK. Axiom 3. Therefore, the complements Ac. Q ED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which, shall...of its angles equal to a given rectilineal angle. GIVEN a straight line AB, a triangle C, and a rectilineal angle D ; IT is REQUIRED TO APPLY to AB a... | |
 | Education - 1884 - 708 pages
...same base and on the same side of it are between the same parallels. Prop. 39, Bk. I. 3. To a given straight line to apply a parallelogram, which shall...have one of its angles equal to a given rectilineal ancle. Prop. 44, Bk. I. Algebra. MALES. Answer two questions. I. When a = 3, ¿ = 7, find the value... | |
 | Stewart W. and co - 1884 - 146 pages
...TWV equals triangle SWV which has abase three times as great as the base WY. QEF 2. (a) To a given straight line to apply a parallelogram which shall...given triangle and have one of its angles equal to that of the given triangle. (a) See Euclid I., proposition 44. (b) Let KLO be an equilateral triangle.... | |
 | Stewart W. and co - 1884 - 272 pages
...equal B c 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... | |
 | Euclides - 1884 - 182 pages
...equal to one another and the diameter divides it into two equal parts. (9) 9 . Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10) 10. In a right-angled triangle, show that the... | |
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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. 
