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" From this it is manifest how to a given straight line to apply a parallelogram, which shall have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure, viz. "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 66
edited by - 1854
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...KFLM = the whole rectil. figure ABCD. Therefore, the i — 7 KFLM has been described as required. QEF Cor. From this it is manifest how to a given straight line to apply a parallelogram which shall be equal to a given rectilineal figure, and shall have an angle equal to a given rectilineal angle;...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...given rectilineal figure ABCD, and having the angle FKM equal to the given angle EQEF COROLLARY. Prom this it is manifest, how to a given straight line,...angle, and shall be equal to a given rectilineal figure ; namely, by applying to the given straight line a parallelogram equal to the first triangle ABD, and...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 670 pages
...them fifteen pence a score ? a sixpence SCIENCE AND ART DEPARTMENT. Assistant Naturalist. 12. Show how to a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. What use...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...ConDary. — From this it is manifest bow, to a given straight line, to apply a parallelogram, which shsll have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure ; viz., by applying to the given straight line a parallelogram equal to the first triangle ABD (1 ....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the given rectilineal figure A BCD, and having the angle FKM equal to the given angle EQEP COROLLARY. From this it is manifest, how to a given straight...angle equal to a given rectilineal angle, and shall bo equal to a given rectilineal figure ; namely, by applying to the given straight line a parallelogram...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...ABCD, ) .... , . Annn t Axiom, 2. and having the angle FKM equal to the angle E. Constr. QEF Corollary. From this it is manifest how to a given straight line,...be equal to a given rectilineal figure. PROPOSITION XLVI. PROBLEM. To describe a square on a given straight line. GIVEN a straight line AB; IT is REQUIRED...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...equal to the given rectilineal figure ABCD, and having the angle FKM equal to the given angle E. QEF COR. — From this it is manifest how, to a given...parallelogram, which shall have an angle equal to a given angle, and shall be equal to a given rectilineal figure of any number of sides ; namely, by applying...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...figure ABCD, and having FKM equal to E. . COROLLARY. — From this it is manifest how to a given st. line to apply a parallelogram which shall have an...angle equal to a given rectilineal angle, and shall equal a given rectilineal figure (iy applying to the given st. line a parallelogram equal to the first...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...therefore the whole rectilineal figure ABCD is equal to the •whole parallelogram KFLM. COROLLARY. From this it is manifest how, to a given straight...and shall be equal to a given rectilineal figure; namely, by applying to the given straight line a parallelogram equal to the first triangle ABD, and...
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