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" If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 111
door Eucleides - 1860
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 pagina’s
...A.ED, BEC, a 5. i. the bafe AD is equal b to the bafe BC, and the angle b 4. i. DAE to the angle EEC : and the angle AEG is equal to the angle BEH a ; therefore the triangles AEG, BEH have two angles of one equal to two angles of the other, each to each, and the fides AE, EB, adjacent to the equal angles,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 pagina’s
...Therefore, &c. Q^ ED COR. Likewife, if two folid angles be each contained by three plane angles, and have two angles of the one equal to two angles of the other, and thefe angles be in planes which have the fame inclination to one another ; the third angle of the...
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The Elements of Natural Or Experimental Philosophy, Volume 3

Tiberius Cavallo - 1803 - 638 pagina’s
...die angle FGD is equal to the angle CGD; whence it follows, that the triangles DGC and DGF, Tiaving two angles of the one equal to two angles of the other, and a correfpondent fide, viz. DG, common, are equal in every refpect J ; * It is ufelefs to take notice...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 pagina’s
...by BD ; and becaufe the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD have two angles of the one equal to two angles of the other ; and the fide BD, Which is oppofite to one of the equal angles in each, is common to both; therefore...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 pagina’s
...bifefted by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FED have two angles of the one equal to two angles of the other, and the fide BD,' which is oppofite to cme of the TJ -Tf |N| eq*MfiB(fcgles in each, is common*"^ *...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - 1814 - 528 pagina’s
...(viz. at D,) and the angles ABD, CAD equal ', and also the side AD common ; these triangles therefore have two angles of the one equal to two angles of the other, each to each, but the common side AD not lying either between given, or opposite equal angles, the triangles are...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 352 pagina’s
...A', A", then, (IX.) . sin S s\n A sin «S'sin A .s\nS"s\nA" (235.) COR. 2. If two spherical triangles have two angles of the one equal to two angles of the other, each to each, or an angle of the one being equal to an angle of the other, if two other angles, one in each triangle,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagina’s
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles • EBD, FED have two angles of the one equal to two angles of the other, and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volume 10

Encyclopaedia Perthensis - 1816 - 772 pagina’s
...Con. i. Any two angles of a triangle are together lefi than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other. Coa. 4. The two acute...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 10

1816 - 764 pagina’s
...». Any two angles of a triangle are together lefs than two right angles. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute...
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