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" Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 45
by John Playfair - 1855 - 318 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...FDB is a Right one, becaufe equal to the inward and oppofite Angle ECB, the other Angle BF D will be half a Right Angle. Therefore the Angle at B is equal to the Angle BFD; and fo the Side DP is equal to the Side DB. And becaufe AC is equal to CE, the Square of AC will be equal...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...FDB it a Right one, becaufe equal to the inward and oppofite Angle ECB, the other Angle BFD will be half a Right Angle. Therefore the Angle at B is equal to the Angle BFD; and fo the Side DF is equal to the Side DB. And becaufe AC is equal to CE, the Square of AC will be equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...angle, and FDB a right angle, for it is equal c to the interior and oppofite arrgle ECB, the re* maining angle BFD is half a right angle ; therefore the angle at, B is equal to the angle BFD, and the fide DF to f the fide DB. and imufe AC is equal to CE, the fquare of AC ?s equal t« the fquare 6f...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...fmce [by 29. i.] it is equal to the inward oppoiitc angle ECB ; the remaining angle BFD will be one half a right angle : therefore the angle at B is equal to the angle DFB : and fo the fide DF [by 6. i .] is equal to the fide DB. And becaufe A c is equal to c E, the...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...right angle, for it is equal 'to the interior and oppofite angle ECB, die remaining angle BFD is half n right angle ; therefore the angle at B is equal to the angle BFD, and the fide DF to f the fide DB : And beciufe AC is equal to CE, the fquare of AC is equal to the fquare of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...angle at B is half a right angle, and FDB a right angle,for it is equal c to the interior and oopofite angle ECB, the remaining angle BFD is half a right...the angle at B is equal to the angle BFD, and the fide DF to f the fide DB. and becaufe AC is equal to CE, the fquare of AC is equal to the fquare of...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...6. '• is half a right angle, and FDB a right angle, for it is equal ' to the interior and oppolite angle ECB, the remaining angle BFD is half a right...the angle at B is equal to the angle BFD, and the fide DF to ' the fide DB : And becaufe AC is equal to CE, the fquare of AC is equal to the fquare of...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...and FDB a right angle (by 29. i.) for again it is equal to the inward and oppofite ECB ; therefore the remaining angle BFD is half a right angle : therefore the angle at B is equal to the angle DFB ; fo that alfo the fide DF is equal (by 6. i.) to the fide DB : And becaufe AC is equal to CE :...
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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
...for it is equal e to the interior and oppofite angle ECB, the remaining angle BFD is half a ri'rht angle; therefore the angle at B is equal to the angle BFD, and the fide DF to f the fide DB. Now becaufe AC is equal to CE, the fquare of AC is equal to the fquara of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...becaufe f 5- i. the augle at B is half a right angle, and FDB a right angle, for it is equal e to the angle ECB, the remaining angle BFD is half a right...the angle at B is equal to the angle BFD, and the fide DF to i the fide DB. And becaufe AC is equal to CE, the fquare of AC is equal to the fquare of...
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