 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.  Pure mathematics - Page 128by Edward Atkins - 1874Full view - About this book
 | Euclides - 1865 - 402 pages
...(References — Prop. 1. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line AB, a parallelogram equal in the triangle C, and having an angle equal to... | |
 | John Playfair - Geometry - 1855 - 350 pages
...equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. I is required to describe a parallelogram that .shall be equal to the given in angle ABC, and have one of its ingles equal to D. Bisect (10. 1.) BC in E, join AE, and at the point... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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....triangle ABC, and have one of its angles equal to D. Bisect BC at E: [I. 10. join AE, and at the point E, iu the straight line EC, make theangle CEF equal... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...have one 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 is required to apply to the straight line AB a. parallelogram equal to the triangle C, and having an angle equal to... | |
 | Robert Potts - 1868 - 434 pages
...one of its angles equal to a given rectilineal angle. Let AB be th« given straight line, and Cthe given triangle, and D the given rectilineal angle. It is required to apply to the straight line AB, a. parallelogram equal to the triangle C, and having an angle equal... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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....given triangle, and D the given rectilineal angle. Bisect BC in E, join AE, and at the point E in the straight line EC make the angle CEF equal to D ;... | |
 | Euclides - 1874 - 120 pages
...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....triangle ABC, and have one of its angles equal to D. AF c BEG ~ Bisect BC in E : [I. 10.] Join AE, and at ^' the point E in the straight line EC make the... | |
 | Euclides - 1874 - 342 pages
...one of its angles equal to a given rectilineal angle. HAL Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to... | |
 | Edward Atkins - 1876 - 130 pages
...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....is required to describe a parallelogram that shall bo equal to the given triangle ABC, and have one of its angles equal to D. CONSTRUCTION. — Bisect... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...having an angle equal to a given rectilineal angle'. Let AB CD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram that shall be equal to the figure ABCD, and having an angle equal to the given angle E, D v Q ' C , . EHM Join DB. Describe the... | |
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