 | John Playfair - 1819 - 354 páginas
...angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a cir.de, of which the diameter is BC, and centre E ; draw CA dividing the circle into... | |
 | George Watson - 1822 - 72 páginas
...plane triangles the sum of the three angles is equal to two right angles, or 180 deg. 198. An angle in a segment less than a semicircle is greater than a right angle. 197. An angle in a semicircle is a right angle. 199. An angle in a segment greater than a semicircle... | |
 | Rev. John Allen - 1822 - 508 páginas
...(as ABC), in a segment greater than a semicircle, is less than a right angle; and an angle (as ADC), in a segment less than a semicircle, is greater than a right angle. Let E be the centre of the circle, join AE, and produce BA, as to F; and because, in the triangle EAB,... | |
 | Peter Nicholson - 1823 - 210 páginas
...angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F, draw BC to the centre, and, because CA is equal to CB, the angle CBA is equal to CAB... | |
 | Peter Nicholson - 1825 - 1046 páginas
...sides of the triangle, the angle opposite to this side, being in a semicircle, is a right angle ; and, if the centre falls without the triangle, the angle...less than a semicircle, is greater than a right angle : Wherefore, if the given triangle be acute angled, the centre of the circle falls within it ; if it... | |
 | Euclid - 1826 - 234 páginas
...right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle of a greater segment is greater than a right angle, but that of a less segment... | |
 | Euclides - 1826 - 226 páginas
...right angle, also that in a segment greater than a semicircle is less than a right angle, and that in a segment less than a semicircle is greater than a right angle, and moreover the angle of a greater segment ts greater than a right angle, but that of a less segment... | |
 | Nathaniel Bowditch - 1826 - 764 páginas
...DKF, that is, by half a semicircle or by a quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. Thus 'if GHI be a segment less than a semicircle, the arch GLI on which it stands must be greater than... | |
 | Nathaniel Bowditch - 1826 - 732 páginas
...that is, by half a semicircle or by rt quadrant ; therefore the angle DEF is a right one. An angle in a segment less than a semicircle is greater than a right angle. ' J* Thus if GHI be a segment less than a semicircle, the arch GLI on which it stands must be greater... | |
 | Robert Simson - 1827 - 546 páginas
...of the triangle, the angle opposite to this side, being in a semicircle-)-, is a right angle ; and, if the centre falls without the triangle, the angle...beyond which it is, being in a segment less than a semicirclef, is greater than a right angle: therefore, conversely, if the given triangle be acute angled,... | |
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... in a segment less than a semicircle, is greater than a right angle... 
