## The Encyclopedia of Architecture, Historical, Theoretical, and Practical |

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Page 264

be the given line upon which it is required to describe a triangle whose three

sides shall be

cirçumference BCD , and from the point B , with the radius BA , describe the

circumference ...

be the given line upon which it is required to describe a triangle whose three

sides shall be

**equal**. From the point A , with the radius AB , describe thecirçumference BCD , and from the point B , with the radius BA , describe the

circumference ...

Page 268

G F L ; M B C D But the angle x is

to the alternato angle C. Therefore , substituting B for x , and C for y , the three

angles B , A , C are together

...

G F L ; M B C D But the angle x is

**equal**to the alternate angle B , and the angle yto the alternato angle C. Therefore , substituting B for x , and C for y , the three

angles B , A , C are together

**equal**to two right angles . COROLLARY . Hence , if...

Page 269

Hence , the diagonal bisects the parallelogram ; for the triangles BAD , BCD ,

having the three sides

which are between the same parallels , and have the same base , are

the ...

Hence , the diagonal bisects the parallelogram ; for the triangles BAD , BCD ,

having the three sides

**equal**, are identical . 903. Prop . XXVIII . Parallelogramswhich are between the same parallels , and have the same base , are

**equal**. Letthe ...

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angle appears arch architect architecture base beam becomes bricks building built called cast cathedral centre century church circle colour columns common considered construction contained course covered curve depth describe diameter direction divided draw edifices effect employed equal erected examples experiments extremely face feet force four front give given greater half height horizontal houses inches iron Italy joints length less lime material means mouldings nearly necessary observed obtained original parallel period perpendicular piece placed plane portion practice 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