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" IF two triangles have two sides of the one equal to two sides of the... "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pàgina 39
per Euclides - 1877
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 pàgines
...the greater of the two given figures above the less. PKOP. LXXIII. 96. THEOREM. If two right-angled triangles have two sides of the one equal to two sides of the other, each to each, the triangles shall be equal, and similar to each other. If the two sides about the right-angle of...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 pàgines
...likewi-e those which are terminated in the oiher exiituiiiy. Prop. VIII. Ih'or. If two triangles have I wo sides of the one equal to two sides of the other, each to each, and have likewise their Ьа*е< equal; the angle which is contained by the two side» of tht one shall...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pàgines
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the othtr, each to each, and have likewise the angles contained by those sides equal to one another ; their...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pàgines
...one another, and likewise those which are terminated in the other extremity. QED Proposition VIII. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their base« equal ; the angle which is contained by the two sides of the one shall...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pàgines
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, &c. QED PROPOSITION V. THEOREM.* The angles which are at the base of isosceles triangles are...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pàgines
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, 8tc. a. KD PROPOSITION V. THEOREM.* The angles which are at the lose of isosceles triangles...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pàgines
...another, and likewise those which are terminated in the other extremity. QE J). PROP. VIII. TIIEOR. If two triangles have two sides of the one equal to two sides of the of her, each, to each, and have likewise their bases equal ; the angle which is contained by the two...
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Dialogues on the First Principles of the Newtonian System, Volum 4

Walter Henry Burton - 1828 - 84 pàgines
...the proposition is a fundamental one, we will prove it. Suppose two triangles, of whatever form, to have two sides of the one equal to two sides .of the other, each to each; and the angle contained between those two sides in the one triangle to be equal to that which is contained...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 pàgines
...two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. IF two triangles have two sides of the one equal to two sides of the other, each to eacji ; and have likewise the angles contained by those sides equal to one another, they shall likewise...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - 1829 - 218 pàgines
...the two triangles would therefore be equal in all their parts. And we say universally, — When two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by these two sides of the one, equal to the angle contained by the two sides...
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