 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the sides, is the minimum when the point is at the centre of the base. 31. Of all triangles that have the same vertical angle and whose bases pass through a given point, the minimum is the one whose base is bisected at the given point. 32. 0f all the squares that can be inscribed... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...— Of all triangles having the same vertical angle, and having their bases passing through the same point, the least is that whose base is bisected in that point. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two... | |
 | Samuel Constable - Geometry - 1882 - 222 pages
...ABC is a minimum, for the base AB is constant for every triangle satisfying the conditions. PROP. 76. Of all triangles having the same vertical angle, and whose bases pass through a fixed point situated within the angle, that, whose base is bisected at the point, has the minimum area.... | |
 | Euclides - 1883 - 176 pages
...Every point in the line that bisects a given angle is equally distant from the arms of the angle. 173. Of all triangles having the same vertical angle and...least is that whose base is bisected in that point. 174. To determine a point in a given straight line to which lines drawn from two given points at unequal... | |
 | Euclides - 1884 - 214 pages
...angles, the squares on two opposite sides are together equal to the squares on the other two sides. (222) Of all triangles having the same vertical angle, and...given point, the least is that whose base is bisected at that point. BOOK I. DEFINITIONS. I. A point is that which has no parts, or which has no magnitude.... | |
 | John Macnie - Geometry - 1895 - 390 pages
...equilateral. It can also be inscribed in a circle (753) ; hence it is a regular polygon (380). EXERCISE 961. Of all triangles having the same vertical angle, and whose bases pass through a given point, that whose base is bisected by the given point is least. 962. The rectangle contained by the segments... | |
 | William James Milne - Geometry - 1899 - 326 pages
...x 6 rx \ rV3 = f r2 VS. Hence, area of Д = £ area of hexagon. Ex. 703. Of all triangles that have the same vertical angle and whose bases pass through a given point, the minimum is the one whose base is bisected at that point. Data : Any two A, as ABC and DEC, having the... | |
 | William James Milne - Geometry - 1899 - 404 pages
...half the area of a regular hexagon inscribed in the same circle. Ex. 703. Of all triangles that have the same vertical angle and whose bases pass through a given point, the minimum is the one whose base is bisected at that point. Ex. 704. An arc of a circle whose radius is... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...half the area of a regular hexagon inscribed in the same circle. Ex. 703. Of all triangles that have the same vertical angle and whose bases pass through a given point, the minimum is the one whose base is bisected at that point. Ex. 704. An arc of a circle whose radius is... | |
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Of all triangles having the same vertical angle, and whose bases pass through a given point, the least is that whose base is bisected in the given point. 
