 | E. M. Reynolds - Geometry - 1868 - 172 pages
...figure of equal area. 26. The cells of a honeycomb are hexagonal. Why should this be so ? 27. What is the locus of the vertex of a triangle of constant area on a given base ? CONSTRUCTIONS. 1. CONSTRUCT a parallelogram equal to a given triangle, and having an angle... | |
 | Edinburgh Mathematical Society - Mathematics - 1894 - 284 pages
...area. (Fig. 2.) Let ABCD, A'B'CD be the two parallelograms. Then triangles A'DA, B'CB are equal, dec. (as in Euclid I. 35). Cor. 1. — Since the diagonal...parallel and equal small circles must be drawn. Let O be the centre of the circle circumscribed to A'BC, O' the point antipodal to O ; then a circle with... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...305. COR. Two triangles having equal bases and equal altitudes are equivalent. EXERCISES. 1. What is the locus of the vertex of a triangle of constant area on a fixed base? 2. A median of a triangle divides it into two equivalent triangles. 3. If two triangles abc, a'b'c'... | |
| |
From this it follows at once, that the locus of the vertex of a triangle of constant area on a fixed base is a small circle. 