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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 First Six Books: Together with the Eleventh and Twelfth - Σελίδα 200
των Euclid - 1781 - 520 σελίδες
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An elementary course of mathematics, Τόμος 2

Samuel Hunter Christie - 1847 - 172 σελίδες
...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...

The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 σελίδες
...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...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...greater than the 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...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...triangles in cardboard, so 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...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...the angle EDF. Wherefore, if two triangles, etc. QED e E PROPOSITION 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...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
...angle fСk is equal to the right angle f Сl : therefore, in the two triangles fkc, f 1 С, there are two angles of one equal to two angles of the other, each to each, and the side fС, which is adjacent to the equal angles in each, is common to both ; therefore the other sides...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...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...

Elements of geometry and mensuration

Thomas Lund - 1854 - 522 σελίδες
...any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the side which is common to those angles in the one equal to the side which is common to the...

The popular educator, Τόμος 4;Τόμος 7

Popular educator - 1854 - 1274 σελίδες
...The enunciation of this proposition may be thu» simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles...

The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 σελίδες
...the angle AEG is equal to the angle BEH (a); 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...




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