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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 Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Σελίδα 32
των Robert Simson - 1775 - 520 σελίδες
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The penny cyclopædia [ed. by G. Long]., Τόμος 22

Society for the diffusion of useful knowledge - 1842 - 524 σελίδες
...ABC. These two lines must then meet in some point c, and the angle acb will be equal to ACB. If then two triangles have two angles of one equal to two angles of the other, each to each, the third angle of the one must be equal to the third angle of the other; and this much being established,...

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

Euclides - 1842 - 316 σελίδες
...EBC : and the angle AEG is equal to the angle BEH (Euc. 15. 1.) ; therefore the triangles AEG, BEH have two angles of 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 ; wherefore they shall have their...

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

John Playfair - 1842 - 332 σελίδες
...angle FCK is equal to the right angle FCL ; and therefore, in the two triangles FKC, FLC, there are two angles of one equal to two angles of the other, each to each, and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore the other...

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

Chambers W. and R., ltd - 1842 - 744 σελίδες
...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...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...right angle FCK is equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are two angles of one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both ; straight line KC is...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...angle AEG is equal to the angle BEH : (i. 15.) 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: wherefore they have their other...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 σελίδες
...(I. 6) CH is equal to HD, DK to KE, &c. Also, in the triangles CHD, DK_E, there are two angles of the one equal to two angles of the other, each to each, and (hyp.) the sides CD, DE are equal : therefore (I. 26) the sides CH, HD are equal to DK, KE, each to...

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

Euclid, John Playfair - 1846 - 334 σελίδες
...angle FCK is equal to the right angle FCL ; and therefore, in the two triangles FKC, FLC, there are two angles of one equal to two angles of the other, each to each, and the side FC, which is adjacent to the equal angles- in each, is common to both ; therefore the other...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...right angle FCK is equal to the right angle FCL: Therefore, in the two triangles FCK, FCL, there are two angles of one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both — therefore the other...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...Wherefore, if two triangles, &c. PROP. XXV. THEOR. 26. lEu. 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 shall the other sides be equal, each to each, and also the third...




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