 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...of the circumscribing, is double of that of the inscribed, equilateral triangle. PROP. XIV. THEOR. A straight line drawn from the vertex of an equilateral...in the opposite circumference, is equal to the two chords inflected from the same point to the extremities of the base. Let ABC be an equilateral triangle... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...angular points another be circumscribed ; to determine the ratio which they bear to each other. 14. A straight line drawn from the vertex of an equilateral...from the extremities of the base to the same point. 15. If the base of a triangle be produced both ways, so that each part produced may be equal to the... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...to each of the triangles ABD, BCE ; and .'. it is one fourth of the circumscribing triangle. (14.) A straight line drawn from the vertex of an equilateral...circumference, is equal to the two lines together, tvhich are drawn from the extremities of the base to the same point. Let ABC be an equilateral triangle... | |
 | Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...equal to that at B, and the two triangles KLM and ABC are therefore equiangular. PROP. XIII. THEOR. A straight line drawn from the vertex of an equilateral...circle to any point in the opposite circumference, ig equal to the two chords inflected from the same point to the extremities of the base. Let ABC be... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...circumscribing triangle. (14.) A straight line drau.' from the vertex of an equilateral triangle inscribed in'a circle to any point in the opposite circumference,...extremities of the base to the same point. Let ABC be an equilateral triangle inscribed in a circle; from В draw BD to any point D in the circumference.... | |
 | Euclides - 1821 - 294 pages
...and LA2 js= to LF3 .-. IL« is — 3 FL2. PROP. 74, THEOR, The right line (IA) drawn from one angle of an equilateral triangle inscribed in a circle to any point in Jhe opposite circumference is equal to the sum of the lines (LA TA) drawn from the other two angles... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...one of which will be equal to half the sum, and the other to half the difference of the sides. 28. A straight line drawn from the vertex of an equilateral...from the extremities of the base to the same point. 29. The straight line bisecting any angle of a triangle inscribed in a given circle, cuts the circumference... | |
 | Miles Bland - Euclid's Elements - 1827 - 462 pages
...each of the triangles ABD, BCE ; and .-. it is one fourth [of the circumscribing triangle. (14.) A straight line drawn from the vertex of an equilateral...extremities of the base to the same point. Let ABC be an equilateral triangle inscribed in a circle ; from B draw BD to any point D in the circumference.... | |
 | Euclides - 1833 - 304 pages
...and LA2 is = to LF2 ; /. IL* is = 3 FL2. PROP. 74. THEOR. The right line (IA), drawn from one angle of an equilateral triangle inscribed in a circle to...point in the opposite circumference, is equal to the sum of the lines (LA and TA) drawn from the other two angles to the same point. Fig. 72. Make AF =... | |
 | John Radford Young - Geometry, Modern - 1833 - 238 pages
...THEOREM. If a circle circumscribe an equilateral triangle, a line drawn from the vertex of the triangle to any point in the opposite circumference, is equal to the two chords drawn -from the same point to the extremities of the base. Let ABC be an equilateral triangle... | |
| |
A straight line drawn from the vertex of an equilateral triangle inscribed in a circle, to any point in the opposite circumference, is equal to the sum of the two lines which are drawn from the extremities of the base to the same point. 
