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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
1821 - عدد الصفحات: 425
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Charles Mansford - 1874
...the other triangle opposite to AB, is obtuse. Therefore, when two triangles have two sides of the one equal to two sides of the other, each to each, and the angle opposite to one pair of equal sides, equal in each triangle, the triangles will not be equal...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...the same parallels, are equal to one another. Shew that 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 included angles equal to two right angles, the triangles are equal. Let ABC and DEF...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...the other points shall be equal and on opposite sides. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to one pair of equal sides right angles ; then shall the triangles be equal in all...
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Mathematical exercises

Samuel H. Winter - 1877
...between the same parallels are equal to each other. Show that 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 included angles equal to two right angles, the triangles are equal. 3. In a right-angled...
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Elementary geometry

James Maurice Wilson - 1878
...from a given point to a given straight line. THEOREM 20. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite to the other two equal sides are either...
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Elements of Geometry and the First Principles of Modern Geometry

Wm. H. H. Phillips - 1878 - عدد الصفحات: 209
...opposite the right angle or obtuse angle. XXIX. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle opposite the greater of these two sides in each equal, the triangles will be congruent. cp HYPOTH....
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Elements of Plane Geometry, الجزء 1

Thomas Hunter - 1878 - عدد الصفحات: 132
...Therefore AB is greater than EF. PROPOSITION XXIV.—THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the third side of the one greater than the third side of the other, that triangle having the greater third...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - عدد الصفحات: 104
...CE=2.AB, BC. (153.) By aid of I. 38, it may be shewn that two triangles which have two sides of the one equal to two sides of the other, each to each, and the included Z• together equal to 2 right L", (ie, supplementary), are equal to one another. Now CAH=BAC, [I....
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad - 1880
...between the same parallels are equal to each other. Show that 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 included angles equal to two right angles, the triangles are equal. 3. In a right-angled...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - عدد الصفحات: 400
...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...
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