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" 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 also contained by the sides of that which has the greater base, shall be greater than the... "
Elements of Arithmetic, Algebra, and Geometry - Page 127
by George Lees - 1826
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...XXV. THEOR. 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 which has the greater base shall be greater than the angle contained by the sides of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...XXV. THEOR. 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 also contained by the sides of that which has the greater base, shall be greater than the angle contained...
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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, ««. 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, the base...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...XXV. THEOR. 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 ; th« angle also contained by the sides of that which has the greater base, shall be greater than...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...XXV. THEOR. If two triangles Imve 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 which has the greater base, shall be greater than the angle contained by the sides of...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

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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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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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 - Electronic book - 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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