 | Euclides - 1848 - 52 pagina’s
...and have one of its angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. PROP. XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given... | |
 | Euclid, Thomas Tate - 1849 - 120 pagina’s
...to the given angle D. Which was to be done. PROP. XLIII. THEOR. The complements of the parallelogram which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that... | |
 | Euclides - 1852 - 152 pagina’s
...the arc F. Join FE. The angle FEC will be the required angle.] PEOP. XLIII. THEOE. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FGr the parallelograms about AC,... | |
 | Euclides - 1853 - 146 pagina’s
...angles CEF equal to the given angle D. Which was to be done. PROP. XLIII. — THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG, the parallelograms about AC,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...angles CEF equal to the given angle D. Which was to be done. PROPOSITION XLIII. THEOR. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that... | |
 | Cambridge univ, exam. papers - 1854 - 284 pagina’s
...EXAMINATION PAPERS FOR THE MATHEMATICAL TRIPOS 1854. TUESDAY, Jan. 3. 9... 12. 1 . THE complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. If J5T be the common angular point of these parallelograms, and BD the other diameter, the difference... | |
 | William Walton, Charles Frederick Mackenzie - 1854 - 266 pagina’s
...The equations (5) and (6) become therefore and aa TUESDAY, Jan. 3, 1854. 9... 12. 1. THE complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. If K be the common angular point of these parallelograms, and BD the other diameter, the difference... | |
 | Euclides - 1856 - 168 pagina’s
...proposition in the bases of the two triangles being distinct. XLV.— EUCLID I. 43. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Let ABCD (Fig. 35) he a parallelogram, of which the diameter is AC ; and EH, FG, the parallelograms... | |
 | Cambridge univ, exam. papers - 1856 - 200 pagina’s
...angles; the two straight lines shall be parallel to each other. 3. The complements of the parallelogram, which are about the diameter of any parallelogram, are equal to one anoiher. If one of the complements be a square, the parallelogram will also be a square. 4. If a straight... | |
 | Euclides - 1858 - 248 pagina’s
...produced, shall meet on the side on which the angles are less than two rt. angles. P. 43. The complements of the parallelograms which are about the diameter of any parallelogram are equal. Ax. 1. Magnitudes equal to the same are equal to one another. P. 15. If two st. lines cut one another,... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC... 
