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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, (i. "
Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ... - Σελίδα 33
των Euclid, John Keill - 1733 - 397 σελίδες
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...side AB to the side CD, and AC to BD, and the angle BACto the angle BDC. And because the angle ABCis equal to the angle BCD, and the angle CBD to the angle A CB, therefore the whole angle ABD is equal to the whole angle A CD ; (ax. 2.) and the angle B-^Chas...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 σελίδες
...viz. the side AB to the side CD, and AC zo BD, and the angl? 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 A.CD. But the angle BAC has been proved equal...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...The side AB is equal to the side CD, and AC to BD, and the angle BAC to the angle BDC. And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore 4. The whole angle ABD is equal to the whole angle ACD (Ax. 2), and the angle BAC has been shown to...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...AB equal to CD, AC to BD, and the angle BAC to ED) ^BAC the angle CDB (I. 26). = * CDB, And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, and Therefore the whole angle ABD is equal to the whole ^ACD., angleACD(Ax.2). And the angle BAC has...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 σελίδες
...and the side AC equal to the side BD, and the angle BAC equal to the angle CDB. [I. 26.] 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. [Ax. 2.] And the angle BAC has been shewn to be...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...equal to CD, AC to BD, and the angle BAC to BD, ^BAC the angle CDB (I. 26). = *• CDB, An(j because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, »nd Therefore the whole angle ABD is equal to the whole i^ACD. angleACD(Ax.2). And the angle BAC has...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...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 CBD to the angle A CB, therefore the whole angle ABD is equal to the whole angle A CD ; (ax. 2.) and the angle IMC has...

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...other — namely, AB equal to CD, AC to BD, aud the angle BAC to the angle CDB (I. 26). And because the angle ABC is equal to the angle BCD, and the angle...the whole angle ABD is equal to the whole angle ACD (Ax. 2). And the angle BAC has been shown to be equal to the angle BDC; therefore the opposite sides...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 σελίδες
...remaining angle of the one is equal to the remaining angle of the other, namely, BAC to 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 ACD(Ax. 2). And the angle BAC has been proved equal to BDC ; therefore the opposite sides and angles...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...and the side AC equal to the side BD, and the angle BAC equal to the angle CDB. [I. 28. And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle A CB, the whole angle ABD is equal to the whole angle A CD. [Ax. 2. And the angle BA C has been shewn...




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