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" If two triangles have two sides of the one equal to two sides of the... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Side 7
av Euclides - 1861
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 sider
...College. CHARLES OCTAVUS BCDD, MA, Pembroke College. THURSDAY, Jan. 6. 9... 12. 1. IF two triangles have two sides of the one equal to two sides of the...contained by the two sides, equal to them, of the other. How does it appear that the two triangles are equiangular and equal to each other? 2. The opposite...
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Alternate circles and their connection with the ellipse

Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 sider
...because the angles OVK and IVY -are vertical angles, they are equal Therefore the triangles KVO and IVY 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. Wherefore, by the 4th Proposition of the...
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Young Scientist: A Practical Journal for Amateurs, Volum 1

1851 - 716 sider
...abc, (fig. 14), ab is greater than ac, then is also / acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the...
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Iconographic Encyclopaedia of Science, Literature, and Art, Volum 1

Johann Georg Heck - 1851 - 712 sider
...(fig. 14), ab is greater than ac, then is also /_ acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater side will belong to the...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 674 sider
...of the sides AC and CD, and the angles ABC, BAC. O..KD Theorem VI II. [Eu. i. 24.] If two triangles have two sides of the one equal to two sides of the otlwr, Lu1 the included angle of the one greater than the included angle of the oilier, (Inn the side...
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The London University Calendar

London univ - 1852 - 358 sider
...greater of two given straight lines to cut off a part equal to the less. 3. Show that 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 each other ; they shall likewise have their bases, or...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 sider
...shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 sider
...Join AG. BAG shall be the angle required.] * xxiii. 1. * iii. 1. PROP. XXIV. THEOR. 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 one of them greater than the angle contained by the two...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...to the given rectilineal angle DCE. Wlu'ch was to be done. PROP. 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 the two sides of one of them greater than the angle contained by the two...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 sider
...greater than ef Therefore, if two triangles, &c. QED PROPOSITION XXV. — THEOREM. 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 oftlie Other; the angle also contained by the sides of...
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