| Euclides - 1883 - 96 Seiten
...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 - 1883
...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... | |
| 1883
...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 - 1883
...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
...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... | |
| 1884
...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
...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
...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
...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... | |
| Euclides - 1884
...the ||m« about a diagonal of any ||m equal in every respect ? On a given straight line to describe **a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given** angle. FEK Let AB be the given straight line, C the given triangle, and D the given angle : it is required... | |
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