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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, containing the first six books, with a selection of ... - Σελίδα 23
των Euclides - 1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...bisected by BD, and that 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 side BD, which is opposite to one of the equal angles in each is common to both ; therefore...

The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - 1838 - 804 σελίδες
...the angle BCD, by the aforesaid proposition. And because the two triangles ADF and BCF have, thus, two angles of the one equal to two angles of the other, viz., the angle FAD to the angle FB C, and the angle AD F to the angle BCF; and the side AF of the...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...* 15. 1. angle EBC: and the angle AEG is equal* to the angle BEH; therefore the triangles AEG, BEH have two angles of the one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another: therefore their other * 28. 1....

Chambers's information for the people, ed. by W. and R. Chambers, Τόμος 2

Chambers W. and R., ltd - 1842 - 744 σελίδες
...proposition gives still further information on this useful subject. It shows that if two triangle* have two angles of the one equal to two angles of the other, each to each, and one side equal to one aide, namely, either the sides adjacent to the equal angles, or the sides opposite to the equal angles...

The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Τόμος 22

1842 - 526 σελίδες
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding sides...

The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Τόμος 22

1842 - 524 σελίδες
...course) alone are enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to the corresponding sides...

The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Τόμος 22

1842 - 538 σελίδες
...course) alone are • enough to determine its form : or, as Euclid would express it, two triangles which have two angles of the one equal to two angles of the other, each to each, have the third angles equal, and all the sides of one in the same proportion to • the corresponding...

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

John Playfair - 1842 - 332 σελίδες
...by BD ; and because 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 side BD, which is opposite to one of the equal angles in each, is common to both ; therefore...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...bisected by BD, and that 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 side BD, which is opposite 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 - 1844 - 338 σελίδες
...it is not equal to it : therefore the angle BAC is greater than the angle EDF. B PROP. XXVI. THEOR. If two triangles have two angles of the one equal...other, each to each; and one side equal to one side, via. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each...




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