An Encyclopaedia of Architecture, Historical, Theoretical, & PracticalLongmans, Green, and Company, 1891 - 1443 pages |
From inside the book
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Page 265
... , AF , AG , & c . are all equal to AB , and are there- fare equal among themselves . 877. PROP . II . On a gizen line to describe an equilateral tri- E Fig.134 . Let AB ( fig . 235. ) be the given CHAP . I. 265 GEOMETRY .
... , AF , AG , & c . are all equal to AB , and are there- fare equal among themselves . 877. PROP . II . On a gizen line to describe an equilateral tri- E Fig.134 . Let AB ( fig . 235. ) be the given CHAP . I. 265 GEOMETRY .
Page 266
... ( Prop . 3 ) , or have all their parts equal : whence the angles B and C must be equal . 880. PROP . V. Triangles which have their three sides equal are identical . In the two triangles ACB , FDG ( fig . 238. ) , let the side AC be equal ...
... ( Prop . 3 ) , or have all their parts equal : whence the angles B and C must be equal . 880. PROP . V. Triangles which have their three sides equal are identical . In the two triangles ACB , FDG ( fig . 238. ) , let the side AC be equal ...
Page 267
... ( Prop . 3. ) identical , and AC is equal to CB ; that is , AB is bisected . 882. PROP . VII . From a given point out of a right line to draw a perpendicular to that line . Let C ( fig . 241. ) be the point from which it is required to ...
... ( Prop . 3. ) identical , and AC is equal to CB ; that is , AB is bisected . 882. PROP . VII . From a given point out of a right line to draw a perpendicular to that line . Let C ( fig . 241. ) be the point from which it is required to ...
Page 268
... ( Prop . 10 ) equal to two right angles ; and these two angles are equal , because CD is perpendicular to AB . Wherefore each angle is a right angle . 887. PROP . XII . If two lines cut each other , the vertical or opposite angles are ...
... ( Prop . 10 ) equal to two right angles ; and these two angles are equal , because CD is perpendicular to AB . Wherefore each angle is a right angle . 887. PROP . XII . If two lines cut each other , the vertical or opposite angles are ...
Page 269
... ( Prop . 5. ) are identical . Wherefore the angle LFG opposite to the side LG is equal to the angle FGM oppo- site to the side FM . Remark . In identical triangles the equal M D G D Fig . 250 . Fig . 251 . angles are always opposite to ...
... ( Prop . 5. ) are identical . Wherefore the angle LFG opposite to the side LG is equal to the angle FGM oppo- site to the side FM . Remark . In identical triangles the equal M D G D Fig . 250 . Fig . 251 . angles are always opposite to ...
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15th century aisles arch architect architecture axis base beam breadth bricks building built called cast iron Castle cathedral cement centre of gravity chapel choir church circle circumference colour columns construction Corinthian order cube cubic foot curve decorated describe diameter dome Doric order draw edifices ellipsis employed entablature equal erected examples extrados feet flange front girder Gothic granite half height horizontal inches joints length lime limestone marble material mortar mouldings nave obtained oolite ornaments palace parallel parallelogram perpendicular piers placed plane plates portico Portland stone Prop proportion pyramid quarries radius rectangle ribs right angles right line Roman Roman architecture Rome roof sand 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