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" ... then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Σελίδα 30
των Alexander Ingram - 1799 - 351 σελίδες
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Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...sides opposite to equal angles in each; then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. In &s ABC, DEF, Let L ABC= L DEF, and LACB= L DFE; and first, Let the sides adjacent to the equal L...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...sides opposite to equal angles in each; then shall the other sides be equal, each to each; and also the third angle of the one to the third angle of the other. In A s ABC, DEF, Let L ABC= L DEF, and L ACB= / DFE; and first, Let the sides adjacent to the equal...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...each, and one side BC is common ; therefore their other sides shall also be equal, each to each, and the third angle of the one to the third angle of the other, viz., the side AT? to the side CD, and AC to BD, and the angle BAG equal to BDC : and because the angle...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...angles and a corresponding side in another triangle, the triangles shall be equal in every respect. Let ABC, DEF be two triangles, which have The angles ABC, BCA equal to the angles DEF, EFD, each to each — namely, ABC to DEF, and BCA to EFD; Also one side equal to one side. GEOMETRY. Then...

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

Euclides - 1874
...which is adjacent to their equal angles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, namely the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BAC equal...

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

Euclides - 1874
...equal angles, common to the two triangles ; therefore, their other sides are equal, each to each, and the third angle of the one to the third angle of the other (I. 26), namely, 3. The side AB is equal to the side CD, and AC to BD, and the angle BAC to the angle...

Pure Mathematics, Τόμος 1

Edward Atkins - 1874
...angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — .-. AC = namely, AB equal to CD, AC to BD, and the angle BAC to HD, ^BAC the angle CDB (I. 26)....

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

Edward Atkins - 1876 - 119 σελίδες
...angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — .-. AB = namely, AB equal to CD, AC to BD, and the angle BAC to BD, ^BAC the angle CDB (I. 26)....

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

Robert Potts - 1876 - 403 σελίδες
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And...

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...angles in each, is common to both triangles. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other — namely, AB equal to CD, AC to BD, aud the angle BAC to the angle CDB (I. 26). And because the angle...




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