Books Books If two triangles have two sides of the one equal to two sides of the... Elements of geometry, based on Euclid, books i-iii - Page 17
by Edward Atkins - 1876 - 119 pages ## Papers for the schoolmaster, Volume 3

1867 - 336 pages
...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... ## The London University Calendar

London univ - 1852 - 358 pages
...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... ## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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... ## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...angle FAG is made equal 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... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...straight lines, a part ae has been cut off equal to С the lese. Which was to be done. PROPOSITION IV. — THEOREM. If two triangles have two sides of the one equal to two sides oftlie other, each to each ; and have likewise the angles contained by those sides equal to one another... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 317 pages
...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... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... ## Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...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,... 