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All About History Books
The Chronicle of Geoffrey le Baker of Swinbroke. Baker was a secular clerk from Swinbroke, now Swinbrook, an Oxfordshire village two miles east of Burford. His Chronicle describes the events of the period 1303-1356: Gaveston, Bannockburn, Boroughbridge, the murder of King Edward II, the Scottish Wars, Sluys, Crécy, the Black Death, Winchelsea and Poitiers. To quote Herbert Bruce 'it possesses a vigorous and characteristic style, and its value for particular events between 1303 and 1356 has been recognised by its editor and by subsequent writers'. The book provides remarkable detail about the events it describes. Baker's text has been augmented with hundreds of notes, including extracts from other contemporary chronicles, such as the Annales Londonienses, Annales Paulini, Murimuth, Lanercost, Avesbury, Guisborough and Froissart to enrich the reader's understanding. The translation takes as its source the 'Chronicon Galfridi le Baker de Swynebroke' published in 1889, edited by Edward Maunde Thompson. Available at Amazon in eBook and Paperback.
Geometry is in Mathematics.
Culture, General Things, Mathematics, Geometry, Circle
Circle. A circle is an ellipse with equal width and height; a = b.
The ellipse equation when a = b: x2/a2 + y2/a2 = 1 or simplified ( x2 + y2 ) / a2 = 1 or y = ( a2 - x2 )1/2.
A circle has an eccentricity of 0.
PI is the ratio of diameter and circumference of a circle. It is a Transcendental Number.
Plane Curve. A Plane Curve is defined by its eccentricity:
= 0 = Circle
> 0 and < 1 = Ellipse
= 1 = Parabola
> 1 = Hyperbola
Eccentricity is the relationship between the height and width of an ellipse ie if a is the width, and b is the height the eccentricity = ( 1 - a2 / b2 )½
If a = b, which is the case for a Circle, the eccentricity is 0.
If a / b, or b / a is less than 1 then it is an Ellipse.
Culture, General Things, Mathematics, Geometry, Eccentricity
Ellipse. An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The equation for a standard ellipse with width 2a and height 2b is ( x2 / a2 ) + ( y2 / b2 ) = 1.
An ellipse has an eccentricity of > 0 and < 1.
Culture, General Things, Mathematics, Geometry, Ellipse
Ellipse. An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The equation for a standard ellipse with width 2a and height 2b is ( x2 / a2 ) + ( y2 / b2 ) = 1.
An ellipse has an eccentricity of > 0 and < 1.
Plane Curve. A Plane Curve is defined by its eccentricity:
= 0 = Circle
> 0 and < 1 = Ellipse
= 1 = Parabola
> 1 = Hyperbola
Eccentricity is the relationship between the height and width of an ellipse ie if a is the width, and b is the height the eccentricity = ( 1 - a2 / b2 )½
If a = b, which is the case for a Circle, the eccentricity is 0.
If a / b, or b / a is less than 1 then it is an Ellipse.
Culture, General Things, Mathematics, Geometry, Frustrum
Frustrum. The portion of a solid (normally a pyramid or a cone) that lies between two parallel planes cutting the solid ie a pyramind with its top cut off, or a Rolo.
All About History Books
The Chronicle of Geoffrey le Baker of Swinbroke. Baker was a secular clerk from Swinbroke, now Swinbrook, an Oxfordshire village two miles east of Burford. His Chronicle describes the events of the period 1303-1356: Gaveston, Bannockburn, Boroughbridge, the murder of King Edward II, the Scottish Wars, Sluys, Crécy, the Black Death, Winchelsea and Poitiers. To quote Herbert Bruce 'it possesses a vigorous and characteristic style, and its value for particular events between 1303 and 1356 has been recognised by its editor and by subsequent writers'. The book provides remarkable detail about the events it describes. Baker's text has been augmented with hundreds of notes, including extracts from other contemporary chronicles, such as the Annales Londonienses, Annales Paulini, Murimuth, Lanercost, Avesbury, Guisborough and Froissart to enrich the reader's understanding. The translation takes as its source the 'Chronicon Galfridi le Baker de Swynebroke' published in 1889, edited by Edward Maunde Thompson. Available at Amazon in eBook and Paperback.
Archaeologia Volume 2 Section XXXV. From this hill I made a hasty sketch of the great barrow at New Grange and its environs1. The lanes about it are planted with rows of trees. And the country forms an ornamented landscape, uncommon in Ireland. The pyramid, if I may so call it, built on a rising ground, and heaving its bulky mass, over the tops of the trees, and above the face of the country, with dimensions of a scale greater than he objects which surround it, appears, though now but a ruinous frustum: of what it once was, a superb and eminently magnificent monument.
Note 1. See Plate XIX.
Culture, General Things, Mathematics, Geometry, Plane Curve
Plane Curve. A Plane Curve is defined by its eccentricity:
= 0 = Circle
> 0 and < 1 = Ellipse
= 1 = Parabola
> 1 = Hyperbola