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" If two triangles have two sides of the one equal to two sides of the... "
The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 7
by Euclid, James Thomson - 1845 - 352 pages
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The Quarterly Journal of Education, Volume 6

Education - 1833 - 414 pages
...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...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...conditions. Wherefore, universally, if two triangles have two sides &c. Which was to be demonstrated. THEOREM. — If two triangles have two sides of the one, equal to two sides of the other respectively, but the third side of the one is greater than the third side of the other ; the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...straight lines, a part AE has been cut off, equal to C the less. Which was to be done. PROPOSITION IV. THEOREM. — If two triangles have two sides of...to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, they shall likewise have their bases,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another ; their bases shall likewise be equal,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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...
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The Schoolmaster: Essays on Practical Education, Selected from the Works of ...

Schoolmaster - 1836 - 926 pages
...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....
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The Schoolmaster: Essays on Practical Education, Selected from the ..., Volume 1

Education - 1836 - 502 pages
...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....
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