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Bøker Bok 91100 av 189If 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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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...than the angle EDF. Conclusion. — Therefore, if two triangles, &c. QED 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 side adjacent to the equal angles...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 sider
...(Art. 34, Ax. 9) ; therefore GFE is equal to GCF, or DFE to BC A. Therefore the triangles ABC, DEF have two angles of the one equal to two angles of the other, each to each ; hence they are similar (Prop. XXII. Cor.). 266. Scholium. When the two triangles have...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Henry Green - 1863
...to it in the other ; or nice versa.— LARDXEB.S Euclid, p. 56. PROP. 26.— THEOR. — (Important.) 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...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - 1862 - 98 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. III). Therefore, AC : AB : : AB : AD. That is, if from a...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...and the right angle BED (I. Ax. 11) to the right angle BFD. Therefore the two triangles E BD and FBD have two angles of the one equal to two angles of the other, each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...truth of the sixteenth, it would be a proof of both the sixteenth and seventeenth. It shows us that, if two triangles have two angles of the one equal to two angles of the other, each to each or together, their third angles are also equal. The corollaries to this proposition are...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...points C and E, such that AB is equal to AC, and AD to AE : shew that BE is equal to CD. THEOR. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides between the vertices of these angles equal, then the triangles...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...two of tho cases of equality of triangles ; the first of which may be separately enunciated thus : If two triangles have two angles of the one equal to two angles of the other, each to each, and also the sides adjacent to these angles equal ; they shall have all their other elements...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...shall be equal to three given straight lines, of which any two are together greater than the third. (5) If two triangles have two angles of the one equal to two angles of the other, each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles...
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