This edition of the Elements of Euclid, undertaken at the request of the principals

of some of the leading Colleges and Schools of Ireland, is intended to

supply a want much felt by teachers at the present day—the production of a

work which, while giving the unrivalled original in all its integrity, would also

contain the modern conceptions and developments of the portion of Geometry

over which the Elements extend.



Sprite based detection performs check on pixels of a overlapping pixels of sprites, and detects collisions that way. Polygons use vector maths to accurately calculate the point, time and direction of impact. While the polygon is only an approximation of the sprite itself, it has advantages over sprite systems.