 | Sir John Leslie - 1809 - 542 sider
...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...point 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... | |
 | Sir John Leslie - 1817 - 456 sider
...is (I. 30.) equal to that at B, and the two triangles are therefore equiangular. PROP. XIII. THEOR. A straight line drawn from the vertex of an equilateral...point 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... | |
 | Miles Bland - 1819 - 442 sider
...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...point in the opposite circumference, is equal to the two lines together, which are drawn from the extremities of the base to the same point. 15. If the... | |
 | Miles Bland - 1819 - 444 sider
...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...point in the opposite circumference, is equal to the two lines together, tvhich are drawn from the extremities of the base to the same point. Let ABC be... | |
 | Sir John Leslie - 1820 - 482 sider
...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... | |
 | Euclides - 1821 - 294 sider
...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... | |
 | Miles Bland - 1821 - 898 sider
...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, is equal to the two lines together, which are drawn from the extremities of the base to the same point. Let ABC be... | |
 | Edward Riddle - 1824 - 572 sider
...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...point in the opposite circumference, is equal to the two lines together, which are drawn from the extremities of the base to the same point. 29. The straight... | |
 | Euclides - 1833 - 304 sider
...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...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 = to AL ; join... | |
 | Horatio Nelson Robinson - 1851 - 96 sider
...i(AC+CB), and AP or HC is equal to half the difference of these lines. MATHEMATICAL .RECREATIONS. 14. Jl straight line drawn from the vertex of an equilateral...point in the opposite circumference., is equal to the two lines together which are drawn from the extremities of the base to the same point. Let ABC be the... | |
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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 eame point. 
