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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Plane Geometry According to Euclid - Σελίδα 4
των Andrew Bell - 1837 - 240 σελίδες
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The Quarterly Journal of Education, Τόμος 6

1833 - 414 σελίδες
...as possible, and also of many superfluous phrases. For instance, ' if there be two triangles which have two sides of the one equal to two sides of the other, each to each, Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...greater than EF. Therefore, " if two triangles," &c. QED PROP. XXV. THEOR. If two triangles have tiro 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...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 σελίδες
...another in each of the points С, Е. Join AC, AE, В С, BE. Then because the triangles AD С, ADE have two sides of the one equal to two sides of the other, and have also the included angles ADC, ADE equal to one another, the base А С (I. 4.) is equal...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 σελίδες
...has just been found that BO + OC< BD + DC ; therefore, still more is BO + OC<BA+AC. PROPOSITION IX. THEOREM. 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 third sides will be unequal; and the greater side will belong to the...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. 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...

The schoolmaster: essays on practical education, selected from the works of ...

Schoolmaster - 1836 - 926 σελίδες
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa....

The Schoolmaster: Essays on Practical Education, Selected from the ..., Τόμος 1

1836 - 502 σελίδες
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa....

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...equal to A 15. the line € might be produced, till it and the part added would be equal to AB. PROP. IV. THEOREM. IF two triangles have two sides of the...one equal to two sides of the other, each to each ;t and have also the angles contained by those sides equal to one another : (!..) they have likewise...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 σελίδες
...rectilineal angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by two sides of one of them greater than the angle contained by the two sides...

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 σελίδες
...when three sides of the one are equal to three sides of the other, each to each. 5. Again : 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 contained by the sides of that...




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