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" If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 97
edited by - 1870
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 5

William Nicholson - Natural history - 1809
...19.) The greater angle of every triangle has the greater side opposite to it. S. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the oilier angles will be respectively equal, лл. those to which...
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The Modern Preceptor Or a General Course of Education: Containing ..., Volume 1

John Dougall - 1810 - 580 pages
...remaining side AC to the remaining side DF. 1st Corollary. From this proposition it follows that, if two triangles have two sides of the one respectively equal to two sides of the other, but the angle formed by these two sides in the one greater than the corresponding angle in the other,...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821
...19.) The greater angle of every triangle has the greater side opposite to it. 3. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the other angles will be respectively equal, viz. those to which...
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Part 3

Euclides - 1821
...greater, is hilly explained in the notes of Dr. Elrington's Euclid, page, 150. PROP. 25. THEOR. ( If two triangles have two sides of the one respectively equal to two sides of the other, and if the third aids of the one be greater than the third side of the other, the angle opposite the...
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An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - Logarithms - 1822 - 153 pages
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle...
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An Elementary Treatise on the Application of Trigonometry to Orthographic ...

John Farrar - Logarithms - 1822 - 153 pages
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle...
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The First Six Books with Notes

Euclid - 1822 - 179 pages
...equal sides DF and EA are equal (2). Fi.I. 38 SeaN. PROP. XXIV. THEOR. If two triangles (EFD, BAC) have two sides of the one respectively equal to two sides of th^other, ( FE to AB, and FB to AC), and if one of the angles (BAC) contained by the equal sides be...
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Elements of arithmetic, algebra and geometry

George Lees - Algebra - 1826 - 207 pages
...EF, the base BC is greater also than the base EF. Wherefore, if two triangles, &c. QE I). Cor. If two triangles have two sides of the one respectively, equal to two sides of the other, but the base of the one greater than the base of the other, the angle contained by the two sides of...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 316 pages
...have just found BO +OCZBD+DC; therefore, still more is BO+OCZBA+ AC. THEOREM. ^ 0 -— ' 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides will be unequal ; and the greater side, will belong...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...proposition is a particular case of this. PROPOSITION XXIV. THEOREM. fl 03) If two triangles (EFD, BAC) have two sides of the one respectively equal to two sides of the other (FE to AB and FD to AC), and if one of the angles (BAC) contained by the equal sides be greater than...
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