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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... "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 78
by Francis Joseph Grund - 1834 - 190 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...given rectilineal angle DCE. QEF PROPOSITION XXIV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the dttgle contained by the two sides of one of them greater than the angle contained by the two sides...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...the angle ACB, it must be greater than it. PROPOSITION 9. 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 the one greater than the angle contained by the two sides equal to them...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...as a simple decimal, IJ of 3^ + '016 + 2 ff + -^ • 2. 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 the one greater than the angle contained by the two sides of the other...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...Proposition is given at the end of this treatise, p. 113. If tico 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; the angle also, contained by t/ie sides of that...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...require to know, — , 1. That a part of any whole is less than that whole. 2. That if, in two AS, two sides of the one are equal to two sides of the other, each to each, and the included /_ of the first A also equal to the included £ of the second A, then those two As...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...end of this treatise, p. 113. PROPOSITION XXV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base 3f the one greater than the base of the other; the angle also, contained by the sides of that...
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Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873 - 182 pages
...proposition of something required to be shown, or established: as that "two triangles are equal when two sides of the one are equal to two sides of the other, and when the included angles are equal." In order to establish a theorem, we have generally to provide...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...equal to BC; hence BC is greater than E F. THEOREM XII. 57. If two triangles have two sides of the one equal to two sides of the other, each to each, but the third side of the one greater than the third side of the other, the angle contained by the sides of...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...to BC; and therefore also BC is greater than EF. XXV. — 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 ; the angle also contained by the sides of that...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 pages
...circumscribed to, equal circles are equal to each other : 1. When they are equiangular to each other. 2. When two sides of the one are equal to two sides of the other, each to each. 3. When one side and an adjacent angle of the one, are respectively equal to one side and an adjacent...
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