| Miles Bland - Euclid's Elements - 1819 - 444 pages
...being parallel to DF, DC : DF :: BC : BG, whence BC : BG :: BC : DE + DF, and .. BG = DE + DF. (12.) **Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in** the given point, Let BAC be the vertical angle of any number of triangles, whose bases pass through... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...shall be equal to a perpendicular drawn from either extremity of the base to the opposite side. 12. **Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in** the given point. 13. If from the angles at the base of a triangle, perpendicular* be let fall on a... | |
| Euclides - 1833 - 304 pages
...triangle EAB, which is = to CAB, (prop. 37, 1. Elr.) is less than DAB. PROP. 16. THEOR. Of all the **triangles, having the same vertical angle, and whose bases pass through a given point** (A), the least is that (viz. CBD), whose base (BD) is bisected in the given point. Fig. 12. Let CEI... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...thig point, that is the least which is perpendicular to the diameter. 3. Of all triangles that have **the same vertical angle, and whose bases pass through a given point,** that whose base ii tisected by the point is a minimum. of any quadrilateral from the intersection of... | |
| Euclides - 1845 - 544 pages
...same base and the same perimeter, that is the greatest which has the two undetermined sides equal. 65. **Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in** the given point. 66. ^If from the base to the opposite sides of an isosceles triangle three straight... | |
| Euclides - 1846 - 292 pages
...between the given point and the nearest line may be equal to the part between the two given lines. 40. **Of all triangles, having the same vertical angle,...least is that whose base is bisected in that point.** 41. Find a point in the diagonal produced of a square, from which if a line be drawn parallel to any... | |
| Euclides - 1847 - 128 pages
...same st. line with BC. The following Theorem may now be solved : — PROP. W. THEOR. GEN. ENUN. — **Of all triangles having the same vertical angle, and...bases pass through a given point, the least is that** of which the base is bisected in the given point. PART. ENUN. — Let BAC be the vertical L of any... | |
| Euclides - 1852 - 148 pages
...triangle from which lines drawn to the several angles will divide the triangle into three equal parts. **Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in** the given point. The sum of the sides of an isosceles triangle is less than the sum of the sides of... | |
| 1856
...XXXI. Of all triangles having the same vertical angle, and hating their bases passing through the same **point, the least is that whose base is bisected in that point.** In fig. c, let в А с be the vertical angle of any number of triangles, whose bases pass through... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...two sides of a triangle be given, the triangle will be greatest when they contain a right angle. 110. **Of all triangles having the same vertical angle, and...point, the least is that whose base is bisected in** the given point. 111. Of all triangles having the same base and the same perimeter, that is the greatest... | |
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