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If two triangles have two sides of the one equal to two sides of the...
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Seite 8
von Royal Military Academy, Woolwich - 1853
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 702 Seiten
...observed 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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Papers for the schoolmaster, Band 3

1867 - 336 Seiten
...also the third angle of the one equal to the third angle of the other. Construct two triangles which have two sides of the one equal to two sides of the other, and the angles equal which are opposite to the less of the two sides. Are such triangles necessarily...
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The London University Calendar

London univ - 1852
...From the 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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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...equal to BC ; and therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. 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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 Seiten
...been 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...therefore also 6. BC is greater than EF. Therefore, if two triangles, &c. QED PROP. 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 of the other; the angle also contained by the sides of...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 Seiten
...also b С is 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 Seiten
...another.^PROP. VIII. THEOR. If two triangles have two sides of the one equal to two sides of the othet each to each, and have likewise their bases equal ; the angle which is contain ed by the two sides of the one shall be equal to the angle contained by the twosides of the...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 Seiten
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two triangles have two sides of the' one equal to two...sides of the other, each to each, and have likewise the angles formed by those sides equal to one another, they shall also have their bases, or third sides,...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 350 Seiten
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be equal....
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