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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 - 333 σελίδες
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Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...contained by the two fides of one of them greater than the angle contained by the two fides equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. 5—1. ' H GEOMETRY. Suppose DF>DE. Let ABC, DEF, be two triangles which have The two sides AB, AC...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...one which has the greater base shall be greater than the angle contained by the sides, equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, namely, AB equal to DE, and AC to DF; but the base BC greater than the...

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

Euclides - 1874 - 120 σελίδες
...the other sides be equal, each to each ; and also the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and BCA to EFD ; and...

The Madras University Calendar, Τόμος 1

University of Madras - 1876 - 580 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 the other. II. The angles in the same segment of a circle are equal to one another. From the intersection of the...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 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 shall be greater than the base of the other. .•.BC=EQ. and ^ EFG> - EGF. .-.Ea>EF. Let ABC, DEF, be two triangles which havo Tho two sides AB,...

The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two equal equal to them of the other ; the base of that which has the greater...angle shall be greater than the base of the other. PDPIL TEACHERS AT END OP THIRD AND FOUBTH YEAKS. — MALES. — 1. How much tea at 4s. 9d. a Ib. mnst...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...contained by twu Bides 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 shall be greater than the base of the other. Why the restriction " Of the two sides DE, DF, let DE .be the side which is not greater than the other...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...equal to the base of the other ;" (b) " 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) " The included angle of the one less than that of the other,...

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

Euclides - 1877 - 58 σελίδες
...contained by the two si.des 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 shall be greater than the base of the other. Let ABO, DEF be two triangles in which AB is equal to DE> and AC equal to DP, but the angle BA C greater...

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

Samuel H. Winter - 1877 - 452 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 shall be greater than the base of the other. 11. In a triangle in which one angle is obtuse, the square on a side subtending an acute angle is less...




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