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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 26
av Euclides - 1853
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Volum 3

United States. Congress. Senate - 1880
...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...other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are opposite to equal angles...
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Euclid and His Modern Rivals

Lewis Carroll - 1885 - 275 sider
...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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A Text-book of Geometry

George Albert Wentworth - 1888 - 386 sider
...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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...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...other, each to each, and one side equal to one side, namely, the sides opposite to the equal angles in each, the triangles shall be equal in all respects....
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Treatise on Trigonometry ...

William Ernest Johnson - 1889 - 504 sider
...draw IX, IT, IZ perpendiculars on the sides. Then, the triangles BXI, BZ1 having a common side BI and two angles of the one equal to two angles of the other, are equal in all respects, so that IX=IZ. Similarly IX=IY, :.IY=IZ. Therefore, the triangles AZI, A...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...Prop. 8. From what Proposition is it an immediate inference ? PROPOSITION 26. THEOREM. If two triangles have two angles of the one equal to two angles of...other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles or sides which are opposite to equal angles in...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...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 identically equal,...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 sider
...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...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...to P, the angle ACB equal to Q, and AX the perpendicular from A to the base BC. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. XVI. 1. In the figure of...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...perpendicular to a given straight line of unlimited length, from a given point without it. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, and the side adjacent to the equal angles of the one equal to the side adjacent to the angles of the other...
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