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" ... but BD, BE, which are in that plane, do each of them meet AB ; therefore each of the angles ABD, ABE is a right angle ; for the same reason, each of the angles CDB, CDE is a right angle: and because AB is equal to DE, and BD... "
The Elements of Euclid,: In which the Propositions are Demonstrated in a New ... - Page 106
by Euclid - 1776 - 264 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...Angles ADD, ABE, is a Right Angle. So for the fame Reafon likewife, is each of the Angles CDB, CDE a Right Angle. Then becaufe AB is equal to DE, and BD is common, the two Sides AB, BD, fhall be equal to the two Sides ED, DB; but they contain Right Angles....
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...Angles ABD, ABE, is a Right Angle. So for the fame Reafon likewife, is each of the Angles CDB, CDE, a Right Angle. Then becaufe AB is equal to DE, and BD is common, the two Sides AB, BD, fhall be equal to the two Sides ED, DB ; but they contain Right Angles....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...which meets it, and is in that plane, but BD, BE, which are in that plane, do each of them meet AB. therefore each of the angles ABD, ABE is A right angle,...reafon, each of the angles CDB, CDE is a right angle, and becaufe AB is equal to DE, and BD" common, the two fides AB, BD, are equal to the two ED, DB ;...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...which meets it, and is in that plane : But BD, BE, which are in that plane, do each of them meet AB : Therefore each of the angles ABD, ABE is a right angle...reafon, each of the angles CDB, CDE is a right angle: And becaufe AB is equal to DE, and BD common, the two fides AB, BD, are equal to the two ED, DB ; and...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 326 pages
...the lines drawn in *dcf. 3. it, and touching ABa; but AB touches BD, BE, in the fame . , , plain ; therefore each of the angles ABD, ABE, is a right...right angle ; then, becaufe AB is equal to DE, and BD common, the two lines E,,P, J?B, are eq.ua! to AB, BD ; and the angle ABD equal to the angle EDB ;...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...which meets it, and is in that plane : But BD, BE, which are in that plane, do each of them meet AB . Therefore each of the angles ABD, ABE is a right angle...reafon, each of the angles CDB, CDE is a right angle : And becaufe AB is equal to DE, and BD common, the two fides AB, BD, are equal to the two ED, DB ;...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...which meets it, and is in that plane. -but BD, BE, which arc in that plane, do each of them meet AB. therefore each of the angles ABD, ABE is a right angle. for the fame renfon, each of the angles CDBr CDE is a right angle. and becaufe AB is equal to DE, and BD common,...
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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
...which meets it, and is in that plane : but BD, BE, which are in that plane, do each of them meet AB. Therefore each of the angles ABD, ABE is a right angle : for the fame reafon, each of the angles CDB, C DE is a right angle : and becaufe AB is equal to DE, and BD common, the two fides AB, BD, are equal...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...which are in that plane, do each of them meet AB ; therefore each of the angles ABD, ABE is a right B ' angle : For the fame reafon, each of the angles CDB, CDE is a right angle : And becaufe AB is equal to DE, and BD common, the two fides AB, BD, are equal to the two ED, DB ;...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...which meets it, and is in that plane. but BD, BE, which are in that plane, do each of them meet AB. therefore each of the angles ABD, ABE is a right angle....reafon, each of the angles CDB, CDE is a right angle. and becaufe AB is equal to DE, and BD common, the two fides AB, BD, are equal to the two ED, DB;,and...
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