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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 101
door John Playfair - 1855 - 318 pagina’s
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pagina’s
...the angle KFC is equal f to the angle CFL: and the right angle FCK is 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...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 pagina’s
...is equal to the angle CFL ; and the right angle FCK H (/ . v \SM is equal to the right angle FCL : therefore, in the two triangles FKC, FLC, there are two angles of one^qual to two angles of the other, each to each, and the side FC, which is adjacent to the equalanglesineach,iscommon...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pagina’s
...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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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - 1833 - 352 pagina’s
...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 ...

Euclides - 1834
...AEG is equal * to the angle BEH ; * 15' l• 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...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 pagina’s
...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 ...

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 pagina’s
...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 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 - 472 pagina’s
...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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...:. 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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