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" IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Σελίδα 36
των John Playfair - 1819 - 317 σελίδες
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater...shall be greater than the base of the other. Let ABC, DEFbe two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, namely,...

An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 286 σελίδες
...equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater than the base of the other. Fig. 79. 90. Let ABC and DEFbe the triangles, and let AB=DE,...

An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 304 σελίδες
...equal to ftuo sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater than the base of the other. c F Fig. 78*. Let ABC, DEFbe the triangles, let AB = DE, AC=DF...

The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 320 σελίδες
...contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater angle shall be greater than the base of tlte other. Fig. 28 a, 6, f. Let ABC and DEF be two triangles having the sides BA, and AC of the one...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871 - 136 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them of the other; the base of that which has the greater angle must be greater than the base of the other. In the &sABC,DEF, let AB = DE and AC= DF, and let L BAC...

The Elements of Plane and Solid Geometry

Henry William Watson - 1872 - 326 σελίδες
...contained by the Iwo sides of the one greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. Fig. 28 a, b, c. Let ABC and DEF be two triangles having the sides BA, and AC of the one equal, respectively,...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them of the other; the base of that which has the greater angle must be greater than the base of the other. In the &sABC,DEF, let AB=DE and AC=DF, and let L BAC be...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...shall the other sides be equal each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF, be two triangles which have the angles ABC, BCA, equal to DEF, EFD; viz., ABC to DEF, and BCA to EFL); also one side equal to one side...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...the base of the other, 5 S GE03IETRY. Suppose I,F>DE Make / EDG = ^ BAC. .'.BC=EG. and - EFG> - EGP. Let ABC, DEF, be two triangles which have The two...sides AB, AC equal to the two DE, DF, each to each— namely, AB to DE,and AC to DF, But the angle BAC greater than the angle EDF; The base BC shall be greater...

Annual Report of the Commissioners ..., Τόμος 40

1874 - 682 σελίδες
...contained by the two sides of one triangle greater than the angle contained by the two sidp> equal to them of the other ; the base of that which has the greater...angle shall be greater than the base of the other. 2. In any right angled triangle, the square which is described on the side subtending the right angle,...




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