 | Marianne Nops - 1882 - 278 pages
...M. SUMMARY OF PROPOSITION XLIV., PROBLEM 12. 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 angle. Corns.— Make I*™m BGFE equal to given triangle, and having £_ EBG equal to given angle.... | |
 | 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 - 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... | |
 | Euclides - 1883 - 176 pages
...bisects the parallelogram. PROP. 44. PROB. 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 angle. HD Given AA, L. B, and st. line CD. To apply to CD a parallelogram (ie, so that CD shall be... | |
 | 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... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...Candidate will please state in writing the Geometry which he offers.] 1. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. <s, ,&r»: '#. half ^hft line bisected ac/i of the square on the fine r.- i<> -.7- of *Jv* half awl... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...perpendicular let fall upon it from the opposite angle, and the acute angle. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In any right-angled triangle, the square described on the side subtending the right angle is equal... | |
 | Euclides - 1884 - 214 pages
...q. Therefore, if a parallelogram &c. QED PROPOSITION XLII. 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. GIVEN tlie triangle ABO and the rectilineal angle D; IT is REQUIRED TO DESCRIBE a parallelogram equal... | |
 | University of Cambridge - 1884 - 624 pages
...opposite sides and angles of parallelograms are equal to one another. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
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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. 
