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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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Σελίδα 66
των John Keill - 1733 - 397 σελίδες
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...(f )2 to a decimal fraction. 10. Extract the square root of 4-20291001. Euclid. 1. 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 aii'/les in each triangle also equal, then shall the...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 490 σελίδες
...(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.). homologous. Thus, DE is homologous with AB,...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 σελίδες
...(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...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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...

Responsions

University of Oxford - 1863
...circle, parallelogram, plane superficies. Write out Euclid's three postulates. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles also equal, then shall the other sides be...

Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - 1862 - 98 σελίδες
...angles A and B by AF and BF, and the angles a and b 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. Ill) ; hence, ABF : abf : : AB2 : a&2 (Theo. VIII). Multiplying an extreme...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...; 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...

The papers set at the professional preliminary examination

College of preceptors - 1882
...parallel straight lines, it shall make the alternate angles equal to one another. 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 angles which...

Essentials of Geometry

Alfred Hix Welsh - 1883 - 267 σελίδες
...R. Therefore, the sum of the angles of a triangle equals two right angles. Cor.—If two triangles have two angles of the one equal to two angles of the other, the third angles will be equal. If, now, a = d and b = e, For, (1) a + b + c = 2 R. and (2) d + e +...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 σελίδες
...Assuredly the proposition is not complete without a proof of this fact. EU. I. 26. THEOR. 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 (1st) the side adjacent to the equal angles...




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