 | Euclides - 1853 - 146 pages
...given angle D. Which was to be done. PROP. XLIII. — THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram,...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 which AC passes,... | |
 | 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 is, through which... | |
 | William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...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 -BT be the common angular point of these parallelograms, and BD the other diameter, the difference... | |
 | Cambridge univ, exam. papers - 1854 - 284 pages
...J") = 0, and z + aa /3/3 yy 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 pages
...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 about AC,... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...two right 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 pages
...Parallelograms upon equal bases and between the same parallels are equal. 43. L The complements of the parallelogram which are about the diameter of any parallelogram, are equal to one another. 4. II. If a st. line be divided into any two parts, the square of the whole line equals the square... | |
 | Euclides - 1868 - 88 pages
...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.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...CEF equal to the given angle DQEF PROPOSITION XLIH. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC: and EH, GF the parallelograms about AC, that is, through which AC passes... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...and between the same parallels, are equal to one another. 7. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 8. Every parallelogram that has one of its angles a right angle, has all its angles right angles. РКЕЫМШАЕУ... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
