The Encyclopedia of Architecture, Historical, Theoretical, and PracticalCrown, 1982 - 1364 pages |
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Page 281
... similar figures the homologous sides are proportional . Let the similar figures be ABCDF , abcdf ( fig . 314. ) , and the homologous lines CA , ca , CF , ef ; CA is to CF as ca to cf. Since the lines CA , ca are homologous , they are ...
... similar figures the homologous sides are proportional . Let the similar figures be ABCDF , abcdf ( fig . 314. ) , and the homologous lines CA , ca , CF , ef ; CA is to CF as ca to cf. Since the lines CA , ca are homologous , they are ...
Page 282
... similar : whence they are to one another ( Prop . 82. ) as the squares of their homologous sides . If , then , the ... Similar rectilineal figures may be divided into an equal number of similar triangles . Let the similar figures be ...
... similar : whence they are to one another ( Prop . 82. ) as the squares of their homologous sides . If , then , the ... Similar rectilineal figures may be divided into an equal number of similar triangles . Let the similar figures be ...
Page 286
... similar ; their corresponding angles are equal . Because the solids A , a are similar , the surfaces BAF , baf are composed of an equal number of points disposed in the same manner . These surfaces are therefore similar figures , and ...
... similar ; their corresponding angles are equal . Because the solids A , a are similar , the surfaces BAF , baf are composed of an equal number of points disposed in the same manner . These surfaces are therefore similar figures , and ...
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15th century aisles ancient architect architecture axis base beam breadth bricks building built called cast iron Castle cathedral cement centre of gravity choir church circle circumference colour columns construction Corinthian order cube Cubic Foot curve decorated depth describe diameter divided dome Doric order draw edifices ellipsis employed entablature equal erected examples extrados feet girder given Gothic granite half height horizontal houses inches inclined intercolumniations joints length lime limestone marble mortar mouldings nave obtained oolite ornaments palace parallel parallelogram perpendicular piece piers placed plane plates portico Prop proportion pyramid quarries radius rafters rectangle ribs right angles right line Roman Roman architecture Rome roof sandstone side similar sofite solid square stone strength style surface tangent temple thickness tiles timber tons tower transepts triangle upper vault vertical Vitruvius voussoirs walls whereof width wood