| Marianne Nops - 1882 - 278 pages
...applied to AB, we have only to produce GB to meet LK in M. SUMMARY OF PROPOSITION XLIV., PROBLEM 12. **To a given straight line to apply a parallelogram...triangle, and have one of its angles equal to a given** angle. Corns.— Make I*™m BGFE equal to given triangle, and having £_ EBG equal to given angle.... | |
| Education Ministry of - 1882 - 302 pages
...are equal. Construct a triangle equal to a given triangle and having a base three times as great. 2. **To a given straight line to apply a parallelogram...which shall be equal to a given triangle, and have one** oI its angles equal to a given rectilineal angle. Euclid. 6i To one of the sides of an equilateral... | |
| College of preceptors - 1882 - 528 pages
...arebetween the same parallels. What is meant here by the word equal ? 6. On a given straight line describe **a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given** angle. Can all the angles of the parallelogram, be equal to this given angle ? 7. A straight line AH... | |
| Education, Higher - 1882 - 498 pages
...direct demonstration, indirect demonstration. Give examples of each. 2. 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 two exterior angles of a triangle be bisected, and from the point of intersection of the bisecting... | |
| 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
...middle point of the diagonal of a parallelogram to meet the sides bisects the parallelogram. PROP. 44. **PROB. To a given straight line to apply a parallelogram...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... | |
| 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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... | |
| Euclides - 1884 - 214 pages
...equal to the complement HDFK. Axiom 3. Therefore, the complements Ac. Q ED PROPOSITION XLIV. PROBLEM. **To a given straight line to apply a parallelogram,...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... | |
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