 | 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... | |
 | Euclides - 1852 - 152 pages
...angle FAG. » viii. i. Therefore, at the given point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. Which was to be done. [The best mode of drawing the angle required is by making CD and CE equal to each other. Then in AB,... | |
 | Euclides - 1853 - 146 pages
...viz. G. The angle ABC shall be equal to the angle DEF, and the angle ACB to DFE. Therefore, 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 one another, their bases shall likewise... | |
 | Euclides - Geometry - 1853 - 176 pages
...Therefore, upon the same base, and on the same side of it, &c. QED PROPOSITION VIII. — THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal ; the angle which is contained by the two sides of the one shau... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...I.) to the angle FAG. Therefore, at the given point A in the given straight line AB, the angle * FAG is made equal to the given rectilineal angle DCE. Which was to be done. ECCLID S ELEMENTS. PROPOSITION XXIV. THEOR. If two triangles have two sides of the one equal to two... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angle contained by the two sides of the one, together icit/i that contained by the two sides... | |
 | Thomas Lund - Geometry - 1854 - 520 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... | |
 | Popular educator - 1854 - 922 pages
...any angle of a triangle bisecting the opposite side, bisects the triangle. Corollary 2. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by the two sides of the one, the supplement of the angle contained by the two... | |
 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...two right angles (BOOK i., PROP, xvn.), one is obtuse and the other acute. The triangles ABC and BCH have two sides of the one equal to two sides of the other, each to each, but one included angle, B, greater than the other, C. AC is, then, greater than B H. (BOOK n., PROP, xiv.)... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...also be perpendicular to QR, RP.PQ. Use Exx. 7 and 6. § 10. (Bookwmk, EUCLID, I. 1-27.) 1. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles equal which are opposite to one pair of equal sides, the angles opposite... | |
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If two triangles have two sides of the one equal to two sides of the... 
