 | Euclides - 1852 - 152 pages
...equal to KL, touch the arc F. Join FE. The angle FEC will be the required angle.] PEOP. XLIII. THEOE. The complements of the parallelograms, which are about...parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FGr the parallelograms about AC, that is through... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...having one of its angles CEF equal to the given angle D. Which was to be done. PROPOSITION XLIII. THEOR. The complements of the parallelograms, which are about...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 is, through... | |
 | Euclides - 1853 - 146 pages
...having one of its angles CEF equal to the given angle D. Which was to be done. PROP. XLIII. — THEOREM. The complements of the parallelograms which are about...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 is, through... | |
 | Euclides - Geometry - 1853 - 176 pages
...be done. PROPOSITION XLIII. — THEOREM. The complements of the parallelograms, which are about (lie diameter of any parallelogram, are equal to one another. LET abcd be a parallelogram, of which the diameter is ac, and eh, fg, the pa- a , h d. rallelograms about ac, that... | |
 | Cambridge univ, exam. papers - 1854 - 284 pages
...(2), 8in"Z> = cos EXAMINATION PAPERS FOR THE MATHEMATICAL TRIPOS 1854. TUESDAY, Jan. 3. 9... 12. 1 . THE complements of the parallelograms, which are about...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 - Education - 1854 - 266 pages
...proportional to The equations (5) and (6) become therefore and aa TUESDAY, Jan. 3, 1854. 9... 12. 1. THE complements of the parallelograms, which are about...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 pages
...that of the last proposition in the bases of the two triangles being distinct. XLV.— EUCLID I. 43. The complements of the parallelograms, which are about...parallelogram, are equal to one another. Let ABCD (Fig. 35) he a parallelogram, of which the diameter is AC ; and EH, FG, the parallelograms about AC,... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...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 - 1868 - 88 pages
...3 C. 4 P. 11. 5 Ax. 5. 6 C.2. SCHoL. 7 Recap. ti8 PRoP. XLIII. PRoP. XLIII. THEoR. The complement t of the parallelograms which are about the diameter of any parallelogram, are equal to one another, , DEM. P. 34. Ax. 2. 3. USE. Ex?. 1 Hjp. 1. „ 2. 2 „ 3. Concl. * ])EM. 1 2 Hyp.l. P. 34 3 Hyp.... | |
 | Euclides - 1858 - 248 pages
...lines, being 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. 
