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" ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other (26. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Pagina xxxiv
door John Keill - 1782 - 399 pagina’s
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagina’s
...viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC : And because the angle ABC is equal to the angle BCD. and the angle CBD to the angle ACB, the whole angle ABD is «qual to the whole angle ACD: And the angle BAC has been shown to be equal...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 pagina’s
...triangles. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC. Also, because the angle ABC is equal to the angle BCD, and the angle CBD to the angle BCA, the whole angle ABD is equal to the whole angle ACD. But the angle BAC has been proved equal to...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pagina’s
...the side AB to the side CD, and AC to BD, (2.) And the angle BAC equal to the angle BDC: And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, the whole angle ABD is equal to the whole angle ACD: And the angle BAG has been shown to be equal to...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pagina’s
...AB is equal to the side CD, and AC to BD, and the angle BAC is equal to the angle BDC; and because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB; 4. The whole angle ABD is equal to the whole angle ACD; and the angle BAC has been shown to be equal...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...viz., the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC : And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, the whole angle ABD is equal (2 Ax.) to the whole angle ACD : and the angle BAC has been shown to be...
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The Elements of Euclid: With Many Additional Propositions ..., Deel 1

Euclid - 1853 - 176 pagina’s
...sides AC and AB are respectively equal to the sides BD and CD (a), and BC is common to both, therefore the angle ABC is equal to the angle BCD, and the angle ACB to the angle CBD (6). And because the alternate angles ABC and BCD are equal, therefore the straight...
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The popular educator, Volumes 5-6;Volume 8

Popular educator - 1854 - 922 pagina’s
...the side л с to the side в :>, and the angles A c to the anule в D с. Because the angle А в с is equal to the angle BCD, and the angle CBD to the angle A CB; therefore the whole angle А в D is equal (Ax. 2) to the whole angle A c D ; and the angle ВАС...
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The Popular Educator, Volume 5

1856 - 428 pagina’s
...the side А с to the side в i>, and the angle в А с to the anole в D c. Because the angle AB с is equal to the angle BCD, and the angle CBD to the angle ACB; therefore the whole angle А в D is equal (Ax. 2) to the whole angle А с D ; and the angle в А с has been proved to be...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 pagina’s
...viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC. Also, because the angle ABC is equal to the angle BCD, and the angle CBD to the angle BCA, the whole angle ABD is equal to the whole angle ACD. But the angle BAC has been proved equal to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And because the angle ABC is equal to the angle BCD, and the angle...therefore the whole angle ABD is equal to the whole angle A CD ; (ax. 2.) and the angle BA C has been shewn to be equal to BDC; therefore the opposite sides...
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