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Bøker Bok 101110 av 188If two triangles have two angles of the one equal to two angles of the other, each...
" 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. "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Side 16
av Daniel Cresswell - 1817 - 436 sider
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - 155 sider
...these two angles are equal. But the angle A is common to the two triangles BAD and BAC. Hence, these triangles have two angles of the one equal to two angles of the other, and are consequently similar (Cor., Theo. IX). Therefore, Cor.—If from a point without a circle a...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - 155 sider
...angles A and B by AF and BF, and the angles a and 6 by af and bf. Now, since the triangles ABF, abf, have two angles of the one equal to two angles of the other, they are similar (Cor., Theo. IX) ; hence, ABF : abf= AB2 : o&2 (Theo. XIV). Multiplying first couplet...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...Euclid's definitions of four sided figures, and the four definitions concerning segments of circles. 2. 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. the sides adjacent to the equal angles in each;...
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Euclid and His Modern Rivals

Lewis Carroll - 1885 - 275 sider
...will be equal in all respects.' This contains a superfluous datum : it would have been enough to say ' if two Triangles have two angles of the one equal to two angles of the other &c.' Nie. Well, it is at worst a superfluity : the enunciation is really identical with Euclid's. Min....
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Volum 3

United States. Congress. Senate - 1880
...triangle be described on the other side of the given what figure will the two triangles forra f 2. 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,...
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A Text-book of Geometry

George Albert Wentworth - 1888 - 386 sider
...triangle is subtracted from two right angles, the remainder is equal to the third angle. 140. COR. 2. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 142. COR. 4. In a triangle there can be but one rigid angle, or one obtuse angle....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...equal to one another. What other converse proposition may be obtained from Proposition V., Book I. ? 3. 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, the sides opposite to the equal angles in each,...
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Treatise on Trigonometry ...

William Ernest Johnson - 1889 - 504 sider
...adjacent angle of the other, are equal in all respects. (2) Two triangles, which are equal in area and have two angles of the one equal to two angles of the other, each to each, are equal in all respects. (3) Two triangles, which are equal in area and have a side...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 sider
...their sum, the third angle can be found by subtracting this sum from two right angles, 100. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 101. COR. 4. A triangle can have but one right angle, or but one obtuse angle. 102....
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...necessitates that BC < EF. AA It remains .'. that A > D. Proposition 26. (First Part.) THEOREM — If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the two sides adjacent to these angles equal ; then the triangles are...
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