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" PROB. With a given straight line to construct a rhomboid equivalent to a given rectilineal figure, and having an angle equal to a given angle. Let it be required to construct, with the straight line L, a rhomboid, containing a given space, and having... "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 50
von Sir John Leslie - 1817 - 432 Seiten
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 Seiten
...equal to the angle D. \Vhich was to be done. PROP. XLV. PROB. *" j"O iMcribe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given reclamed figure, and E the given reetslineal angle. It is...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 Seiten
...ABM equal to the angle D. Which was to be done. PROP. XLV. PRO B. TO defcribe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given redilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. Ir is...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...ABM equal to the angle D. Which was to be done. PROP. XLV. PROB. TO describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 542 Seiten
...rhomboid BE equivalent to FD. -rY. JL ..II bold equivalent to a given rectilineal figure, and having its angle equal to a given angle. Let it be required to...space, and having an angle equal to K. Construct (II. 7.) the rhomboid BF equivalent to the rectilineal figure, and having an angle BEF equal to K; produce...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 Seiten
...consequently their doubles, or the triangle ABCD and the rhomboid DEFC are equivalent. PROP. VIII. PROB. To construct a rhomboid equivalent to a given rectilineal figure, and having its angle equal to a given angle. Let it be required to construct a rhomboid which shall be equivalent...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 Seiten
...equal to the angle D. Which was to be done. PROP. XLV. PROB. See NOW. TO describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. a 42.1. Join DB. and describe »the parallelogram FH equal to the triangle AUB,...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1811 - 524 Seiten
...side, the two triangles AIF and FGC, and there remains the rhomboid BF equivalent to FD. PROP. IX. PROB. With a given straight line to construct a rhomboid...space, and having an angle equal to K. Construct (II. 7.) the rhomboid BF equivalent to the given rectilineal figure, and having an angle BEF equal to K;...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...of its angles equal to a given rectilineal angle. Prnp. XLV. Prob. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Prop.XLVI. Prob. To describe a square upon a given straight line. Pi-op. XLVII....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 Seiten
...equal to the angle D. Which was to be done. PROP. XLV. PROB. s'eN. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...ABM equal to the angle D : Which was to be done. PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Join DB, and describe (42. 1.) the parallelogram FH equal to the triangle ADB, and...
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