| 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 - 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 - Mathematics - 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 - 282 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 - 336 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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