 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...: FH :: KL : Kl, .: GF : FH :: GK : KI; whence G, H, I will be in a straight line. SECT. VII. (1.) THE vertical angle of any oblique-angled triangle...the diameter drawn from the extremity of the base. Let ABC be a triangle inscribed in a circle. From A draw the diameter AD ; join BD ; the angle ABC... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...FC : FH:: KL : KI, .: GF : FH :: GK : KI, whence G, H, I will be in a straight line. SECT. VII. (1.) THE vertical angle of any oblique-angled triangle...the diameter drawn from the extremity of the base. Let ABC be a triangle inscribed in a circle. From A draw the diameter AD; join BD; the angle ABC is... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...KL : KI, . . GF : FH :: G/ÍÍ : KI; whence G, H, I will be in a straight line. SECT. VII. (1.) i HE vertical angle of any oblique-angled triangle inscribed...the diameter drawn from the extremity of the base. is greater or less than a right angle, by the angle CAD. For the angle ABD in a semicircle is a right... | |
 | Euclides - 1821 - 294 pages
...— to COA .-. COA is = to half CIL. PROP. 89 THEOR. The vertical angle (ELF) of any triangle (ELF) inscribed in a circle is greater or less than a right angle, by the angle contained by the side subtending it and the -diameter drawn front, the extremity of this side. Fig, 44. If the given... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...joining them, will be equal to five times the square of the hypothenuse. 26. The vertical angle of an oblique-angled triangle inscribed in a circle, is...or less than a right angle, by the angle contained between the base, and the diameter drawn from the extremity of the base. 27. If the base of any triangle... | |
 | Euclides - 1846 - 292 pages
...of its sides be bisected, the line joining the points of section will be trisected by the sides. 65. The vertical angle of any oblique-angled triangle inscribed in a circle is greater or less than a right-angle by the angle contained by the base and the diameter drawn from the extremity of the base... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...circle, the square on a side thereof is equal to three times the square described upon the radius. 32. The vertical angle of any oblique-angled triangle...the diameter drawn from the extremity of the base. 33. If a circle be inscribed in a right-angled triangle, the difference between the two sides containing... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...joining them will be equal to five times the square of the hypotenuse. 19. The vertical angle of an oblique-angled triangle inscribed in a circle, is...or less than a right angle, by the angle contained between the base and the diameter drawn from the extremity of the base. 20. If the base of any triangle... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...triangle inscribed in a circle, is greater or less than a right angle, by the angle contained between the base and the diameter drawn from the extremity of the base. 20. If the base of any triangle be bisected by the diam eter of its circumscribing circle, and, from... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...contained by the line joining the points of contact, and the diameter drawn through one of them. Ex. 4. The vertical angle of any oblique.angled triangle...the diameter drawn from the extremity of the base. Ex. 5. If, from the extremities of any diameter of a given circle, perpendiculars be drawn to any chord... | |
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The vertical angle of any oblique-angled triangle inscribed 'in a circle is greater or less than a right angle, by the angle contained by the base and the diameter drawn from the extremity of the base. 
