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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.
The New Practical Builder and Workman's Companion, Containing a Full Display ... - Page 27
by Peter Nicholson - 1823 - 596 pages

Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1302 pages
...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, or sides which are...

University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...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; then shall the other...

Euclid and His Modern Rivals

Lewis Carroll - Geometry - 1885 - 318 pages
...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....

A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 386 pages
...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...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...produced, pass through the centre. 2. Prove one case of the following proposition : — 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 in each, or sides which...

Treatise on Trigonometry

William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...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...

Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...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,...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...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 the other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles or sides which are...