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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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 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 same reason, each of the angles CDB, CDE is a right angle : and because AB is equal to DE, and BD common,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 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 same reason, each ef the angles CDB, CDE is a right angle: And because AB is equal to DE, and BD common,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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 same reason, each of the angles CDB, CDE is a right angle : And because AB IM equal to DE, and BD common,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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 same reason, each of the angles CDB, CDE is a right angle: and because AB is equal to DE, and BD common,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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 same reason, each of the angles CDB, CDE is a right angle : And because AB is equal to DE, and BD common,...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 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 same reason, each of the angles CDB, CDE, is a right angle ; and because AB is equal to DE, and BD...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...plane; « 1. 3. and make* DE equal to AB, and join BE, AE, AD. Then, because I BOOK XI. PROP. VII. 223 each of the angles ABD, ABE is a right angle. For the same reason, each of the angles CDB, CDC is a right angle: and because AB is equal to DE, and BD common,...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...and is in that plane : (xi. def. 3.) 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 common,...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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 same reason, each of the angles CDB, CDE is a right angle : And because AB is equal to DE, and BD common,...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pages
...which meets it, and is in that plane (e); 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 common,...
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