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" If two triangles have two sides of the one equal to two sides of the... "
Easy Introduction to Mathematics - Pagina 243
door Charles Butler - 1814
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 pagina’s
...angles respectively, from the equality of certain of their parts. He never notices the case of two triangles having two sides of the one equal to two sides of the other respectively, and an angle opposite to equal sides equal in both. This is probably, first, because...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Deel 1

Francis Joseph Grund - 1834 - 190 pagina’s
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them are also equal to one another, the two triangles are equal in all...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...greater than DE, it shall subtend a greater angle at С : for С А В and С DE are, in this case, two triangles having two sides of the one equal to two sides of the other, each to each, but the base AB greater than the base DE: therefore the angle А С В (I. 11.) is likewise greater...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pagina’s
...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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 pagina’s
...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 triangle which has...
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The Element of Geometry

John Playfair - 1836 - 114 pagina’s
...meet in one point, are together equal to four right angles. PROP. IV. THEOR. 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, they shall likewise have their...
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The schoolmaster: essays on practical education, selected from the works of ...

Schoolmaster - 1836
...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

1836
...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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 pagina’s
...which has the greater angle shall be greater than the base of the other. 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 contained by the sides of that...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 pagina’s
...lines, a part AE has been cut off equal to C, the less. PROPOSITION IV. THEOREM. 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, thenbases, or third sides,...
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