 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram...having an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH equal to the triangle ADB, and having the angle HKF equal to the angle... | |
 | Euclides - 1846 - 292 pages
...another in the ratio compounded of the ratios of their bases and altitudes. 87. Describe a rhombus, equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 88. If two triangles have one angle of the one equal or supplementary to one angle... | |
 | Euclides - 1847 - 128 pages
...and has the L ABM = eu. / G.— QEF PROP. XLV. PROB. GEN. ENUN. — To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. PAKT. ENUN. — Let ABCD be the gn. rectilineal figure, E the gn. rectilineal Z;... | |
 | Euclides - 1848 - 52 pages
...its angles equal to a given rectilineal angle. PROP. XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. COB. From this it is manifest how to a given straight line to apply a parallelogram,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...ABM equal to the angle D : Which was to be done. PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Join DB, and describe (i. 42.) the parallelogram FH equal to the triangle ADB, and... | |
 | Education - 1851 - 502 pages
...and opposite upon the same side: and likewise the two interior 3. To describe a parallelogram equal to a given rectilineal figure* and having an angle equal to a given rectilineal angle. upon the same side together equal to two right angles. SECTION II.—1. If a straight... | |
 | Euclides - 1852 - 152 pages
...figure in Prop. XLIL was drawn.] r 4 BOOK I. BOOK L PROP. XLV. PEOB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It... | |
 | Euclides - 1852 - 48 pages
...and has an angle res equal to the given angle DWWD PHOP. XLV. PBOB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given one. Let ABCD be the given rectilineal „ figure, and E the given angle ; it is required to describe... | |
 | London univ - 1852 - 358 pages
...supersede the method of Euclid. 2. Bisect a given rectilineal angle. 3. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 4. In every acute-angled triangle the square of the side subtending either of the... | |
 | Euclid - Geometry - 1853 - 176 pages
...and that immediately preceding it, a parallelogram can be constructed on a given line equal in area to a given rectilineal figure, and having an angle equal to a given rectilineal angle, by constructing on the given line a parallelogram equal in area to the first triangle... | |
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To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD,... 
