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

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Page 272

The line CT is therefore the shortest which can be drawn from the point C to the

line AB , and consequently ( Corol . to Prop . 39. ) is perpendicular to the line AB .

917. Prop . XLI . The angle formed by a tangent and chord is measured by

The line CT is therefore the shortest which can be drawn from the point C to the

line AB , and consequently ( Corol . to Prop . 39. ) is perpendicular to the line AB .

917. Prop . XLI . The angle formed by a tangent and chord is measured by

**half**...Page 273

by

measured by

the side AB opposite to the angle C will be greater than the side AC opposite to ...

by

**half**the arc ADB , is greater than the angle at the circumference B , which ismeasured by

**half**the arc AFC . Again , if the angle C is greater than the angle B ,the side AB opposite to the angle C will be greater than the side AC opposite to ...

Page 298

40 20 Now the angle DAE in a semicircle , is a right angle , or AE is

perpendicular to AD ; and DF , parallel to AE , is also perpendicular to AD :

therefore AE is the tangent of CDA the

the

40 20 Now the angle DAE in a semicircle , is a right angle , or AE is

perpendicular to AD ; and DF , parallel to AE , is also perpendicular to AD :

therefore AE is the tangent of CDA the

**half**sum ; and DF , the tangent of DAB ,the

**half**difference of ...### What people are saying - Write a review

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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 marble 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