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" If two triangles have two sides of the one equal to two sides of the... "
Elements of geometry: consisting of the first four,and the sixth, books of ... - Page 9
by Euclides - 1842
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The Student's Handbook to the University and Colleges of Cambridge

1902 - 716 pages
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Euclid, Book 1

Euclid, Rupert Deakin - Geometry - 1903 - 218 pages
...than EF. Prop. 19 But BC was proved equal to EG, therefore BC is greater than EF. QED PROP. 25. — Theorem. — If two triangles have two sides of the...one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; then the angle contained by the two sides...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...words, the greater the angle between the sides of the triangle the greater the base. THEOREM 19.* 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 triangle which has the greater included angle has the greater third...
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Calendar ...

University College, Galway - 1895 - 404 pages
...up 24 cubic inches. GEOMETRY AND TRIGONOMETRY. Examiner — PROFESSOR DIXON, MA GEOMETRY. 1. If two triangles have two sides of the one equal to two sides of the other, each to each, and likewise the angles contained by those pairs of sides equal, then the triangles shall be equal in all...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...from Theor. 15 that the hypotenuse is the greatest side of a right-angled triangle. THEOR. 16. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, then the bases are unequal, the base of that which has the greater...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...EK, KG are greater than EF. Hence EG (or BC) is greater than EF. EUCLID-S ELEMENTS. PROPOSITION 25. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, hit the base of one greater than the base of the other ; then the angle contained by the sides of that...
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Science Examinations ... Reports, Etc

1904 - 386 pages
...angles to AB. (a.) Define a right angle. (b.) Prove the correctness of your construction. (10) 8. If two triangles have two sides of the one equal to two sides of the other each to each, and the angles included by those sides equal, show that the triangles are equal in all respects. 0 is the...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 322 pages
...is the greater. Proof. BA=BD + DA =.BD + DA'>BA'. FIG. 220. FIG. 221. 552. Theorem. // two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 324 pages
...the axis is the greater. Proof. BA=BD + DA = BD + DA'>BA'. F1G. 221. 552. Theorem. // two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater...
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Annual Report of the Commissioners ..., Volume 71

1905 - 614 pages
...of those sides and its continuation to meet a perpendicular on it from the opposite angle. 5. If two triangles have two sides of the one equal to two sides of the other, ea<.'h to each but their bases unequal ; the angle contained by the sides of that which has...
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