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" CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 17
by John Keill - 1723 - 364 pages
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...one, equal to the remaining Angles of the other, each to each, fubtending the equal Sides. Wherefore the Angle BAE, is equal to the Angle ECF ; but the...BAE. After the fame manner, if the Right Line BC, be bife&ed, we demonftrate that the Angle BCG, that is, the Angle ACD, is greater than the Angle ABC....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...remaining angles to the remaining angles, each to each, to which the equal fides are oppofite. wherefore the angle BAE is equal to the angle ECF. but the angle...angle ECF, therefore the angle ACD is greater than BAE. in the fame manner, if the fide BC be bifected, h may be demonftrated that the A I•$. i. angle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...remaining angles to the remaining angles, each to each, to which the equal fides are oppofite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle EC^ ; therefore the angle ACD is greater than BAE : In the fame manner, if the fide BC be bifected,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...each, to which the equal fides are oppofite; wherefore the angle BAE is equal to the angle I- CF ; but the angle ECD is greater than the angle ECF; therefore the angle ACD is greater than BAE : In the fame manner, if the fide BC be bifecjed, it may be demonftrated that the anglr BCG, that...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...remaining angles to the remaining angles, each to each, to which the equal fides are oppofite ; wherefore the angle BAE is equal to the angle ECF ; but the...angle ECF ; therefore the angle ACD is greater than BAE : In the fame manner, if the fide BC be bifected, it may be demonftrated, i i5. i. that the angle...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...remaining angles, to the remaining angles, each to each, to which the equal fides are oppofite. wherefore the angle BAE is equal to the angle ECF. but the angle...angle ECF, therefore the angle ACD is greater than BAE. in the fame manner, if the fide BC be bifefted, it may be demonftrated that the angle BCG, that...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...remaining angles to the remaining angles, each to each, to which' the equal fides are oppofite ; wherefore the angle BAE is equal to the angle ECF ; but the...is greater than the angle ECF ; therefore the angle ECD, that is ACD, is greater than BAE : In the fame manner, if the fide BC be bifefted, it may be demonftrated...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...to each, to which the equal sides are opposite ; >vherefore the angle BAE is equal to the angle ECFj but the angle ECD is greater than the angle ECF ; therefore the angle ECD, that is, ACD, is greater than BAE. In the'same manner, if the side BC B* bisected, it may be demonstrated...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...remaining angles, each to eachi to which the the triangle AEB to the triangle CEF, and the remaining to the angle ECF; but the angle ECD is greater than the equal sides are opposite; wherefore the angle BAE is equal In the same manner, if the side BC be bisected,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...remaining angles to the remaining angles, each to each, to which the equal sides are opposite; wherefore the angle BAE is equal to the angle ECF ; but the...angle ECF; therefore the angle ACD is greater than BAE : In the same manner, if the side BC be bisected, it may be "15.1. demonstrated that the angle...
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