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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 First Six Books: Together with the Eleventh and Twelfth - Seite 200
von Euclid - 1781 - 520 Seiten
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 Seiten
...that :. Z BAC must be > Z EOF. PROPOSITION XXVI. (Argument ad absurdum). Theorem. If two triangles have two angles of 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 angles, or opposite to the...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...BAC is greater than the angle EDF. PROPOSITION XXVI. THEOREM. 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 the sides adjacent to the equal angles, or the sides opposite...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 Seiten
...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 ...

Euclid, Robert Simson - 1838 - 416 Seiten
...greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. THEOR. IF two triangles have two angles of 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 angles, or the sides opposite...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...Wherefore, if two triangles, &c. Q. t, n. PROP. XXVI. THEOR. °V'.' 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, vis. either the sides adjacent to the equal angles, or the sides opposite...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 Seiten
...EDF. Wherefore, if two triangles, &c. UED PROP. XXVI. THEOR. 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 angles, or the sides opposite...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...is greater than the angle EDF. Wherefore if two angles, &c. QED PROP. XXVI. THEOR. IF two triangles have two angles of 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 angles, or the sides opposite...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Band 22

1842
...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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The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Band 22

1842
...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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The penny cyclopædia [ed. by G. Long]., Band 22

Society for the diffusion of useful knowledge - 1842
...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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