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" N. and if the firft be a multiple, or part of the fecond ; the third is the fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and firft let A be a multiple of B ; C is the fame multiple of D. Take E equal to A, and whatever... "
Elements of Trigonometry, Plane and Spherical: With the Principles of ... - Page 27
by John Wright (Mathematician) - 1772 - 251 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...Book V. PROP. D. THE OR. v^^-v^ TF the firft be to the fecond as the third to the fourth, see N•*• and if the firft be a multiple, or part of the fecond...the fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and firft let A be a multiple of B ; C is the fame multiple of D. Take...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...E GFH ABCD BookV. PRO PD THEO R. TF the firft be to the fecond as the third to the fourth, See N. 1 and if the firft be a multiple, or part of the fecond ; the third is tbe fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and firft let A be...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...T| PROP. Book V. PRO PD T ft EO R. |F the firft be to the fecond as the third to the fourth, s« N. and if the firft be a multiple, or part of the fecond...the fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and firft let A be a multiple of B ; C is the fame multiple of D. Take...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...THEO R. IF the firft be to the fecond as the third to the fourth ; and if the firft be a multiple or a part of the fecond, the third is the fame multiple or the fame part of the fourth. Let A : B : : C : D, and firft let A be a multiple of B, C is the fame multiple of D ; that is, if...
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The Elements of Mathematical Analysis, Abridged: For the Use of Students ...

Nicolas Vilant - Algebra - 1798 - 196 pages
...be to the fccond as the third to the fourth, and if the firir. be a multiple or part of the fécond, the third is the fame multiple, or the fame part of the fourth. Cafe I. Suppofe A : B=C : D, and that A — т В ; then C=m D. For, take E=A (=m B) and V — m D....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...THEOR. IF the firft be to the fecond, as the third to the fourth ; and if the firft be a multiple, or a part of the fecond ; the third is the fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and let A be a part of B ; C is the fame part of D. Take MA equal to...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...D H ABCD Book PROP. D. THEOR. • IF the firft be to the fecond as the third to the fourth, See N. and if the firft be a multiple, or part of the fecond...the fame multiple, or the fame part of the fourth. Let A be to B, as C is to D ; and firft let A be a multiple of B ; C is the fame multiple of D. Take...
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