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A treatise of the properties of arches, and their abutment piers : containing propositions for describing geometrically the catenaria, and the extradosses of all curves, so that their several parts and their piers may equilibrate : also concerning bridges, and the flying buttresses of cathedrals : to which are added, in illustration, sections of Trinity Church, Ely; King's College Chapel, Cambridge; Westminster Abbey; Salisbury, Ely, Lincoln, York, and Peterborough Cathedrals / Samuel Ware
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other branches of architecture, which arc butlittle underftood, may alfo derive affiftancefrom the extentive mathematical knowledgewhich its author poiTefles.

SECT. Ill,

or THE CATEN ARIA.

In inveftigating the properties of the cate-naria, it is neceffary to confider the means bywhich we acquire a knowledge of its form,and other circumftances attending that modeof formation.

Fig. 23.—1. The line A B is formedfrom a chain compofed of links connectedtogether, having a free motion, in any direc-tion at each connexion, but infeparable.

2. If one link is at reft, the whole chainmuft be at reft. If one link is in motion,the whole chain muft be in motion.

3. When the links are free to gravitate,

D 3 they

 
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