 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...triangle C, and having the angle ABM equal to the angle DQEF PROPOSITION 45. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal aiiffle. Let A BCD be the given rectilineal figure, and E the given rectilineal angle: it is required... | |
 | 1868 - 344 pages
...lints. 2. The sides opposite to the fqual angles of any triangle, are equal. Prove UUi. 6. Describe a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle. 1. All the three angles of a triangle are equal to two right angles. Prove this, and stato some other... | |
 | Robert Potts - 1868 - 434 pages
...and kave 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. AF L £ C Bisect BC,r E, (I. 10.) and join... | |
 | Civil service - 1871 - 264 pages
...one shall be equal to the angle contained by the two sides equal to them of the other. 3. Describe a parallelogram equal to a given rectilineal figure...having an angle equal to a given rectilineal angle. Can a rectangle always be described on a given straight line equal to a given rectilineal figure ?... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...following are some of the various constructions that will result. MNO PROPOSITION XLV. To describe a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle. For the construction in this pi-< 'position we must be able, — 1. To join two given points by a straight... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...to D : therefore LB is applied to AB, is equal to C, and has ABM equal to D. XLV. — To describe a parallelogram equal to a given rectilineal figure,...to a given rectilineal angle. Let ABCD be the given figure, and E the angle. Join DB, and describe the parallelogram FH equal to the triangle ADB, having... | |
 | Euclides - 1874 - 120 pages
...a right-angled triangle equal in area- to a given triangle. PROPOSITION 45. PROBLEM. Tn 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. ADFCL fy Join DB, and describe the paralellogram FH... | |
 | Edward Atkins - 1874 - 428 pages
...Proposition 45.— Problem. To describe a parallelogram equal to a rjiven rectilineal figure, and luvoing an angle equal to a given rectilineal angle. Let ABCD...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. CONSTRUCTION. — Join DB. A r1 y c> Describe the parallelogram... | |
 | Edward Atkins - 1874 - 426 pages
...Problem. . To describe a parallelogram equal to a given rectilineal figure, and having an angle eqiuil to a given rectilineal angle. Let ABCD be the given...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. CONSTRUCTION. — Join DB. * Describe the parallelogram... | |
 | Euclides - 1874 - 342 pages
...sides produced if necessary, the three points of concourse are in one line. 27. Describe a rhombus equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 28. In a given right-angled triangle inscribe a square having one of its sides coinciding with the... | |
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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. 
