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

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Page 272

In the triangles CFA , CFB the side FA is equal to the side FB by construction , the

side FC is

triangles , then , have two sides and the angle contained by them equal ; they are

...

In the triangles CFA , CFB the side FA is equal to the side FB by construction , the

side FC is

**common**, and the two angles at F are right angles . These twotriangles , then , have two sides and the angle contained by them equal ; they are

...

Page 273

the perpendicular MC and the perpendicular LC both pass through the centre of

the same circle ; this centre must therefore be the point C , which is the only point

...

the perpendicular MC and the perpendicular LC both pass through the centre of

the same circle ; this centre must therefore be the point C , which is the only point

**common**to the two perpendiculars . 913. Pror . XXXVII . if three equal lines meet...

Page 280

the rectang formed by the lines A and D is equal to the rectangles formed by the

lines B and C. Let the four lines meet in a

four right angles ; and draw the lines parallel to them to complete the rectangles x

, y ...

the rectang formed by the lines A and D is equal to the rectangles formed by the

lines B and C. Let the four lines meet in a

**common**point , forming at that pointfour right angles ; and draw the lines parallel to them to complete the rectangles x

, y ...

Page 282

by half the arc FD , are equal , and the angle C is

These two triangles are there fore ( Prop . 23. ) equiangular and ( Prop . 61. )

have their sides proportional . Wherefor the side CA of the first triangle is to the

side ...

by half the arc FD , are equal , and the angle C is

**common**to the two triangles .These two triangles are there fore ( Prop . 23. ) equiangular and ( Prop . 61. )

have their sides proportional . Wherefor the side CA of the first triangle is to the

side ...

Page 285

The

, AFBGA ( fig . 327. ) intersect each other ; the line which is

right line . Draw a right line from the point A to the point B. Because the right line ...

The

**common**intersection of two planes is a right line . Let the two planes ALBMA, AFBGA ( fig . 327. ) intersect each other ; the line which is

**common**to both is aright line . Draw a right line from the point A to the point B. Because the right line ...

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