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" Now let BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC as BA to AC ; and also BD to DC, BA to AF (2. "
Manual of Euclid. Books IV. V. VI. - Page 71
by Euclid - 1859
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...BA to AC. Let now BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and that BD is also to DC, as BA to AFe; ' 11. 51 therefore BA is to AC, as BA to AFf ; wherefore...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...BA to AC. Now let BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC ; and also BD to DC, as BA to AF (2. 6.) ; therefore BA is to AC, as BA to AF (t 1.5.); wherefore...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...is BA to AC. Let now BD be to DC, as BA to AC, and join AD; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and that BD is also to DC, as BA to AF (11. 5.): therefore BA is to AC, as BA to AF (9. 5.);...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...BA to AC. Let now BD be to DC, as В Л to AC, and join AD; the angle CAD is equal to the angle EAD. The same construction being made, because BD is to DC, as BA to AC ; and that BD is also to DC, ая ВА to AF; (2. 6.) therefore BA is to AC, as BA to AF ; (U....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...•,. Next, let BD be to DC, as BA to AC, and join AD : the angle CAD shall be equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and that BD is also to DC*, as * 2- 6BAtoAF; therefore* BA is to AC, as BA to AF; *n-5. wherefore...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...to AC. Now, let BD be to DC, as BA to AC, and join AD; then the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and also BD to DC, as BA to AFe; theref 11.5. fore BA is to AC, as BA to AFf; wherefore AC is...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...BA to AC. Let now BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC ; and also BD to DC, as BA to AF ; therefore BA is to AC, as BA to AF (V. 11) ; wherefore AC...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...BA to AC. Now let BD be to^DC, as BA to AC, and join AD ; the angle CAD is equal to the, angle DAE. The same construction being made, because BD is to DC as BA to AC ; and also BD to DC, BA to AF (2. 6. ) ; therefore BA is to AC, as BA to AF (11. 5.), wherefore...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...1. iNext, let BD be to DC, as BA to AC, and join AD; the angle CAD shall be equal to the angle DAE. The same construction being made, because BD is to DC, as BA to AC; and also that BD is to DC,* as * 2. 6. BA to AF; therefore* BA is to AC, as BA to AF; • 11....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...BA to AC. Now let BD be to DC, as BA to AC, and join AD ; the angle CAD is equal to the angle DAE. The same construction being made, because BD is to DC as BA to AC ; and also BD to DC, BA to AF (2. 6. ) ; therefore BA is to AC, as BA to AF (11. 5.), wherefore...
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