 | War office - 1861 - 714 pagina’s
...hour, how far must the second train travel before it comes up with the first? Euclid. 1. Describe a parallelogram equal to a given rectilineal figure...having an angle equal to a given rectilineal angle. 2. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
 | Euclides - 1862 - 172 pagina’s
...the triangle C, and has the angle ABM equal to the angle DQEF PROP. XLV.— PBOBLEM. To describe a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle. (References— Prop. 1. 14, 29, 30, 42, 44 ; ax. 1,2; i. 34, def.) Let ABCD be the given rectilineal... | |
 | Euclides - 1862 - 140 pagina’s
...6; def. 35.) Given.— Let ABC be the given triangle, and D the given rectilineal angle. Sought. — It is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles equal to D. Construction. — 1. Bisect BC in E (I.... | |
 | University of Oxford - 1863 - 316 pagina’s
...the whole and each of the parts are together equal to the squares on the whole line. 6. Describe a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle. 7. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides... | |
 | Euclides - 1864 - 262 pagina’s
...triangle C, and having the angle ABM equal to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure,...ABCD, and having an angle equal to the given angle E, DFGL A HM Join DB. Describe the parallelogram FH equal to the triangle ADB, and having the angle FKH... | |
 | Euclides - 1864 - 448 pagina’s
...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 that shall be equal to the given triangle ABC, and have one of its angles equal to D. AFG EEC Bisect BC'm E, (1. 10.) and join... | |
 | Euclides - 1865 - 402 pagina’s
...given triangle, and have one of its angles equal to a given rectilineal angle. Prop. 45. To describe a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle. Cor. To a given straight line, to apply a parallelogram, which shall have an angle equal to a given... | |
 | Robert Potts - 1865 - 528 pagina’s
...and have one of its angles equal to a given rectilineal angle. Let ABC be tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram that shall be equal to the given triangle AB C, and have one of its angles equal to D. BE Bisect SC in E, (i. 10.) and join AE;... | |
 | John Playfair - 1855 - 350 pagina’s
...figure, and laving an angle equal to a given twtilineal angle. ABCD be the given rectilineal figure, ami E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and bartag an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...triangle C, and having the angle ABM equal to the angle DQBF PROPOSITION 45. PROBLEM. To describe a parallelogram equal to a given rectilineal figure,...angle: it is required to describe a parallelogram equal to ABCD, and having an angle equal to E. HM Join DB, and describe the parallelogram FH equal... | |
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Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. 
