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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, namely, either t}le sides adjacent to the equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Side 24
av Euclides - 1837 - 88 sider
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...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 ; therefore the other...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 sider
...to it. M. — Here, then, is a third instance of equality in triangles : what is it ? angles of the one equal to two angles of the other, each to each, and have likewise the sides adjacent to the equal angles equal to each other. M. — Repeat, now, all you...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 sider
...the angle EBC: and the angle AEG is equal to the angle BEH (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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are two angles of the 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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...angle BED is equal to the right angle BFD; therefore the two triangles EBD, FBD have two angles of the one equal to two angles of the other, each to each; and the side BD, which is opposite to one of the equal angles in each, is common to both; therefore their...
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The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Volum 22

1842 - 538 sider
...ABC. These two lines must then meet in some point c. und the angle acb will be equal to ACI>. 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 tint much being established,...
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The penny cyclopædia [ed. by G. Long]., Volum 22

Society for the diffusion of useful knowledge - 1842 - 524 sider
...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,...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volum 22

1842 - 524 sider
...ABC. These two lines must then meet in some point c, and the angle neb will be equal !o 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,...
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Chambers's information for the people, ed. by W. and R. Chambers, Volum 2

Chambers W. and R., ltd - 1842 - 744 sider
...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...
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The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Volum 22

1842 - 526 sider
...ABC. These two lines must then meet in some point e, nnd the angle aeb 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,...
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