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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal... "
The Elements of Geometry, Symbolically Arranged - Σελίδα 32
των Great Britain. Admiralty - 1846
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 σελίδες
...is equal to the right angle FCL : therefore in the two triangles FKC, FLC, there are tw6 angles of one equal to two angles of the other, each to each, and the fide FC, which is adjacent to the equal angles Bonk IV. ^ each, is common to both ; therefore the...

An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796
...nwji be equal to the remaining angle of the other. THEOREM 15. If two triangles have two angles of one equal to two angles of the other, each to each, and one s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. — 20...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...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...

The Elements of Natural Or Experimental Philosophy: Illustrated ..., Τόμος 3

Tiberius Cavallo - 1803
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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*"^ *...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...angle BAC is greater-fhan the angle EDF. Wherefore, if two triangles, &c. Q, ED PROP. XXVI. THEOR. IF two triangles have two angles of the one equal...adjacent ' to the equal angles, or the sides opposite to the equal angles in each ; then shall the other sides be equal, each to each, and also the third angle...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...angle MDE. Therefore in the two triangles HAB, MDE there are two angles in one equal to two angles in the other, each to each, and one side equal to one side, opposite to one of the equal angles in each, viz. HA equal to DM; therefore the remaining sides e JO....

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...XXVI. Theor. If two triangles have two angles of ont- equal to two angles of the other, each to eaoh; and one side equal to one side, viz. either the sides...angles, or the sides opposite to equal angles in each j then shall the other sides he equal, each to eacli ; and also the third angle of the one to the third...

An Easy Introduction to the Mathematics: In which the Theory and ..., Τόμος 2

Charles Butler - 1814
...(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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