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" 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 bases, or third sides, equal ; and the two triangles... "
A System of Plane and Spherical Trigonometry: To which is Added a Treatise ... - Page 197
by Richard Wilson - 1831 - 330 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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...angles contained by those sides equal to one another ; they shall likewise have their bases, or third sides, equal ; and the two triangles shall be equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...less. VVhich was to be done. •* \ a 2.1. b 3. Post, Book I. ^-v>^ PROP. IV. THEOREM. IF two triangte have two sides of the one equal to two sides of the...angles contained by those sides equal to one another ; their bases, or third sides, shall be equal ; and the two triangles shall be equal ; and their other...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...tl.e greater of Mi) giren straight lines to cut off a part equal to the less. Prop. IV. Theor. If two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another; they shall likewise have their bases, or third sides, equal ; and the two triangles shall be equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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 t-wo...angles contained by those sides equal to one another, their bases, or third sides, shall be equal ; and the areas of the triangles shall be equal ; and their...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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...likewise the angles contained by those sides equal to one anothej^ their bases, or third sides, shall be equal ; and the areas of the trmmgles shall be equal...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...equal to the leu. Prop. IV. Theor. If two triangles Ьате two sides of the one eijual to two side* 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, or third tide-: equal ; and the two triangles shall be equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...part AE has been cut off equal to С the less. Which was to be done. Propotilion IV. Theorem. If two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another ; they shall likewise have their bases, or third sides, equal ; and the two triangles shall be equal...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...are 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...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles shall be equal, and their other angles to which...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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 have their bases, or third sides, equal ; and the two triangles shall be equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the...
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