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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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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - 1874 - عدد الصفحات: 206
...perpendicular to that line at its middle part. THEOREM XI. 56. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle of the one greater than the included angle of the other, the third side of that which has the...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - عدد الصفحات: 120
...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...

Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - عدد الصفحات: 126
...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...

Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - عدد الصفحات: 58
...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...

Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - عدد الصفحات: 452
...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...

Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - 1878 - عدد الصفحات: 236
...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....

Elementary Geometry ...

James Maurice Wilson - 1878 - عدد الصفحات: 450
...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...

Elements of Plane Geometry, الجزء 1

Thomas Hunter - 1878 - عدد الصفحات: 142
...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...

The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - عدد الصفحات: 112
...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....

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - عدد الصفحات: 190
...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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