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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 ... - Σελίδα 15
των Euclid, John Keill - 1733 - 397 σελίδες
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...the 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...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...the 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...is greater than the angle ECF ; therefore the angle ECD, K ACD. is greater than BAE : In the same .manner, if the side BC be bisected, it may be demonstrated...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 σελίδες
...vertical angles b ; therefore, the two triangles AEB and CEF are equal in every respectC ; consequently, the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECFd ; therefore, the angle a Ax. 9. ECD, that is, ACD is also greater than the angle BAE, or BAC....

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...remaining angles to the remaining angles each to each, to which the equal sides are opposite. Therefore the angle BAE is equal to the angle ECF. But the angle ACD is greater than ECF. Therefore the angle ACD is greater than the angle BAE. In like manner it may...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...remaining angles to the remaining angles each to each, to which the equal sides are opposite. Therefore the angle BAE is equal to the angle ECF. But the angle ACD is greater than ECF. Therefore the anole ACD is greater than the angle BAE. In like manner it may...

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

Robert Simson - 1827 - 546 σελίδες
...the 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 ECD is greater f than the | 9 Ax. angle ECF, therefore the angle ACD is greater than BAE. In the same manner, if the...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 σελίδες
...and the 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 BCD is greater than the angle ECF ; therefore the angle ECD, that is ACD, is greater than BAE : In...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...the 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;...angle ECF ; therefore the angle ACD is greater than BAE : In the same manner, if the side BC be bisected, it may be demonstrated that the angle BCG, that...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...the 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...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 be bisected, it may be demonstrated...

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

Robert Simson - 1838 - 434 σελίδες
...to each, to which the equal sides are opposite ; wherefore the angle BAE is equal to the angle EOF ; but the angle ECD is greater than the angle ECF ; therefore the angle ACD is greater than BAE : in the same manner, if the side BC be bisected, it may be demonstrated that the angle BCG, that...




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