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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. "
Special Reports on Educational Subjects - Página 172
por Great Britain. Board of Education - 1900
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 páginas
...sides &e. — QED This Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — 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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An elementary course of mathematics, Volumen2

Samuel Hunter Christie - 1847 - 172 páginas
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): 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 sides equal...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 páginas
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 páginas
...angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. 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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Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 332 páginas
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,...
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Papers for the schoolmaster, Volumen3

1867 - 336 páginas
...which can be drawn to the four angles from any point, except the intersection of the diagonals. 3. If two triangles have two angles of the one equal to two angles of the otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each,...
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Papers for the schoolmaster, Volúmenes1-6

582 páginas
...opposite sides of parallelograms are equal." State and prove the onverse of this proposition. ,"*• *i two triangles have two angles of the one equal to two angles of the ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 páginas
...consequently, the equiangular triangles BAC, CED, are two similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equiangular (B. L, P....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 páginas
...as to exemplify the two last propositions.] 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...greater than the angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOREM. If two trianglet 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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