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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Pągina 105
per Robert Simson - 1762 - 466 pągines
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 pągines
...FKC, FLC, there are two angles of one equal to two angles of the other, each H to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore the other sides are equal (26. 1.) to the other sides, and the third angle to the third angle; therefore the...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - 1833 - 380 pągines
...truth, for example, but not a self-evident one, that if one draw two triangles, having two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either of 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 ...

Euclid - 1835 - 540 pągines
...than the angle EDF. Wherefore, " ifhco 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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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pągines
...equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the interjacent* sides equal ; their other sides shall be equal, each to each, viz. those...
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The Element of Geometry

John Playfair - 1836 - 148 pągines
...base DF, and the triangle ABC is equivalent to the triangle DEF. Therefore, 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, the triangles shall be equivalent. Which was to be proved. PROP. VII. THEOR....
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pągines
...greater than the angle contained by the sides of the other. XXVI. 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: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 pągines
...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 sides are equal (26. l.)to the other sides,and the third angle to the third angle ; therefore the straight...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 pągines
...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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 pągines
...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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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pągines
...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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