## An Encyclopaedia of Architecture, Historical, Theoretical, and Practical |

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Page 281

In

be ABCDF , abcdf ( fig . 314 . ) , and the homologous lines CA , ca , CF , of : CA is

to CF as ca to cf . Since the lines CA , ca are homologous , they are composed of

...

In

**similar**figures the homologous sides are proportional . Let the**similar**figuresbe ABCDF , abcdf ( fig . 314 . ) , and the homologous lines CA , ca , CF , of : CA is

to CF as ca to cf . Since the lines CA , ca are homologous , they are composed of

...

Page 282

319 . tained angles are equal , the two triangles BAD , CAF have their sides

about equal angles proportional ; they are therefore ( Prop . 63 . ) equiangular ,

and consequently ( Prop . 85 . )

82 . ) ...

319 . tained angles are equal , the two triangles BAD , CAF have their sides

about equal angles proportional ; they are therefore ( Prop . 63 . ) equiangular ,

and consequently ( Prop . 85 . )

**similar**: whence they are to one another ( Prop .82 . ) ...

Page 286

982 . Prop . CI .

. Prop . ) A , a be

solids A , a are

of ...

982 . Prop . CI .

**Similar**solids are equiangular , Let the solids ( see fig . to preced. Prop . ) A , a be

**similar**; their corresponding angles are equal . Because thesolids A , a are

**similar**, the surfaces BAF , baf are composed of an equal numberof ...

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angle appears arch architect architecture base beam becomes bricks building built called cathedral centre century church circle colour columns common considered construction contains course covered curve depth describe diameter direction divided draw edifices effect employed equal erected examples experiments extremely face feet figure force four front give given greater half height horizontal houses inches iron Italy joints length less lime material means middle mouldings nearly necessary observed obtained parallel period perpendicular piece placed plane portion practice principal produced Prop proportion quarries radius remains respect Roman roof round says side similar solid square stone strength style supposed surface temple thickness timber tower triangle upper vault vertical walls whereof whole wood