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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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...EBC: And the angle AEG is equal to the angle BKH (10. Ax. 1.); therefore the triangles AEG, ВЕН 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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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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 other...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 sider
...the angle BAC is 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 eacli ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...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 he equal, each to each, viz. those...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...right 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 H to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...EDF. Wherefore, if two triangles, &c. QED 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 side adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - 1833 - 352 sider
...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 to the equal angles in each; then...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...right angle FCK is equal to the rightangle 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 botli ; therefore the other...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...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 - 114 sider
...is equal (4. 1.) to the base DF, and the triangle ABC is equivalent to the triangle DEF. Therefore, if two triangles have two angles of one equal to two...other, each to each ; and one side equal to one side, the triangles shall be equivalent. Which was to be proved. PROP. VII. THEOR. If two of the sides of...
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