| John Playfair - 1855 - 318 páginas
...rectangle. PROP. XLIII. THEOR. The complements of lie parallelograms which are about the diameter of anr, **parallelogram, are equal to one another. Let ABCD...parallelograms about AC, that is, through which AC** passes, and let BK, KD be the other parallelograms, which make up the whole figure ABCD, and are therefore... | |
| Euclides - 1856
...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
...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
...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
...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,... | |
| Robert Potts - 1860 - 361 páginas
...triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROPOSITION XLIH. THEOREM. **The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC:** and EH, GF the parallelograms about AC, that is, through which AC passes : also BK, KD the other parallelograms... | |
| Royal college of surgeons of England - 1860
...6. Parallelograms upon the same base, and between the same parallels, are equal to one another. 7. **The complements of the parallelograms, which are about...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... | |
| War office - 1861 - 12 páginas
...the two interior angles on the same side together equal to two right angles. 2. The complements of **parallelograms which are about the diameter of any parallelogram are equal to one another.** •with the square of half the line bisected is equal to the square of the straight line made up of... | |
| Euclides - 1862
...given triangle ABC, having one of its angles CEF equal to the given angle DQEF PROP. XLIII.— THEOREM. **The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another.** (References — Prop. i. 34 ; ax. 2, 3.) Let ABCD be a parallelogram, of which the diameter is AC ;... | |
| University of Oxford - 1863
...equal to each other, and the diameter bisects them, that is, divides them into two equal parts. 6. **The complements of the parallelograms which are about the diameter of any parallelogram, are equal to** each other. 7. If there be two straight lines, one of which is divided into any number of parts ; the... | |
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