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" GB is equal to E, and HD to F; GB and HD together are equal to E and F together : wherefore as many magnitudes as... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 123
by John Keill - 1772 - 399 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Logarithms - 1723 - 364 pages
...,viz. CH, H D. Then the Multitude of Parts, CH, HD, fha.ll be equal to th? Multitude of Parts AG, G B. And fince AG is equal to E, and CH to F ; AG and CH,...Reafon, becaufe GB is equal to E, and HD to F, GB and HD will be equal to E and F together. Therefore, as often as E is contain'd in AB, fo often is E and F...
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...and CH to F ; therefore AG and CH together are equal to * E and F together. for the fame a. A*. a. r, reafon, becaufe GB is equal to E, and HD to F ; GB and HD together are equal to E and F together. Wherefore as many magnitudes as are in AB equal to E, fo many are there...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...becaqfe AG is equal to E, and CH to F, therefore AG and CH together are equal to* E and F together : For the fame reafon, becaufe GB is equal to E, and HD to F ; GB and HD together are equal to E and F together. Wherefore, as many magnitudes as are in AB equal to E, fo many are there...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 466 pages
...becaufe AG h equal to E, and CH to F ; therefore AG and CH together are equal to * E and F together. For the fame reafon, becaufe GB is equal to E, and HD to F ; GB and HD together are equal ta E and F together. Whertfore as many magnitudes as are in AB equal t& E, fo many are there...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 399 pages
...D. Then the Multitude of Parts, CH, HD, (hall be equal to the Multitude of Pajts, AG, G B. And fmce AG is equal to E, and CH to F ; AG and CH, together,...be equal to E and F together. Therefore as often as Eis contained in AB,fo often is E and F, together, contained in AB and CD, totogether. And fo as often...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid, John Bonnycastle - Euclid's Elements - 1789 - 272 pages
...and CH to F (by Con/}. )* AG and CH, taken together, will be equal to E and F ' taken together. For the fame reafon, becaufe GB is equal to E, and HD to F, GB and HD taken together, will be equal to E and F taken together. K4 I' A* L As tnany magnitudes, therefore,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...becaufe AG is equal to E, and CH to F; therefore AG and CH together are equal to E and F together, for the fame reafon, becaufe GB is equal to E, and HD to F ; GB and HD together are equal to E and F together. Wherefore as many magnitudes as are in AB equal to E, fo many are there...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1810 - 518 pages
...therefore AG and CH together are equal to *E and F together: for the same reason, a Ax. 2. 5. because GB is equal to E, and HD to F; GB and HD together are equal to E and F together. \Vherefore, as many magnitudes as are in AB equal to E, so many are...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...therefore AG and CH together arc equal to (Az. 2. 5.) E and F together: For the same reason, because GB is equal to E, and HD to F ; GB and HD together are equal to E and F together. Wherefore, as many magnitudes as are in AB equal to E, so many are there...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...therefore AG and 2 Ax. 1. QJJ together are equal to * E and F together : for the same reason, because GB is equal to E, and HD to F, GB and HD together are equal to E and F together: wherefore as many magnitudes as there are in AB equal to E, so many...
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