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" If two triangles have two sides of the one equal to two sides of the other, each to each, and the included... "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 202
بواسطة University of Cambridge - 1821 - عدد الصفحات: 425
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - عدد الصفحات: 426
...seen from a proposition which we shall now demonstrate. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to a pair of equal sides equal; then if the angles opposite to the other pair of equal...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882 - عدد الصفحات: 510
...l+cos<9cos0H --- 12 - + — 1^-3 — +••' 74. If two spherical triangles have two sides of the one equal to two sides of the other each to each, and the angle between the two sides of the one equal to the angle between the two sides of the other i show...

The Cambridge Examiner, المجلد 2

1882 - عدد الصفحات: 498
...line a straight line equal to that given straight line. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles contained by those sides also equal, the two triangles are equal in every respect. 4. If at...

Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - 1883 - عدد الصفحات: 352
...Theorem. — On the same sphere, or on equal spheres, if two spherical triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - عدد الصفحات: 428
...Construct a rhombus equal to a given parallelogram. 100. If two triangles have two sides of the one equal to two sides of the other, each to each, and the sum of the two angles contained by these sides equal to two right angles, the triangles are equal in...

An introduction to the Elements of Euclid, being a familiar explanation of ...

Stephen Thomas Hawtrey - 1884 - عدد الصفحات: 184
...case of these two particular triangles, that—in consequence of their having two sides of the one equal to two sides of the other each to each, and the included angles being equal—B will come on E, and 0 on F. We now go forward : Look at, and for the present confine...

An introduction to geometry, consisting of Euclid's Elements, book ..., المجلد 1

Euclides - 1884 - عدد الصفحات: 182
...that this figure is equal to the original quadrilateral. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles contained by those sides supplementary, the triangles are equal in area. 4 . Bisect a parallelogram...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - عدد الصفحات: 214
...coincides with the line DE, is important, for it shows us that, if two triangles have two sides of the one equal to two sides of the other, each to each, and the angles contained by those two sides together equal to two right angles, the two triangles are equal...

Knowledge: An Illustrated Magazine of Science, المجلد 5

1884 - عدد الصفحات: 536
...shall presently have occasion to make use, — PROP. II. — // two triangles hare two sides of one equal to two sides of the other, each to each, and the angles opposite one pair of equal tide» equal ; then if the angles opposite the remaining pair of...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - عدد الصفحات: 538
...AC, we have, BD + DC < BA + AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides are unequal ; and the greater side belongs to the triangle which has the greater...




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