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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Geometry and Trigonometry - Side 18
av Adrien Marie Legendre - 1836 - 359 sider
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...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 sider
...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 ..., Volum 1

1836 - 502 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...from AB the greater of two straight lines, a part AE has been cut off equal to C the less. PROP. 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, their bases, or third sides,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...the greater of two straight 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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...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...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...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...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 sider
...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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 254 sider
...what will necessarily be concluded with respect to their third sides or bases, ef and be? P.—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...
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Remarks on mathematical or demonstrative reasoning:its connexion with logic ...

Edward Tagart - 1837 - 156 sider
...question within a certain class, viz. the class of angles subtended by equal bases, in triangles which have two sides of the one equal to two sides of the other, of which equality is demonstrated ia the fourth proposition : and let us remember that every...
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