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" The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Página 42
por Euclid, John Playfair - 1804 - 440 páginas
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

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...
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The geometry of the three first books of Euclid, by direct proof from ...

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,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

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...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volumen1

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....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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The examination papers as set for the preliminary literary examination of ...

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...
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Examination papers used at the examinations for direct commissions [&c.].

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...
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The school Euclid: comprising the first four books, by A.K. Isbister

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 ;...
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Responsions

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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