An Encyclopaedia of Architecture, Historical, Theoretical, and PracticalLongmans, Green, 1876 - 1395 pages |
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Page 263
... & c . are all equal to AB , and are there- fore equal among themselves . 877. PROP . II . On a given line to describe an equilateral tri- angle . D P Pig.234 . Let AB ( fig . 235. ) be the given S 4 CHAP . I. 263 GEOMETRY .
... & c . are all equal to AB , and are there- fore equal among themselves . 877. PROP . II . On a given line to describe an equilateral tri- angle . D P Pig.234 . Let AB ( fig . 235. ) be the given S 4 CHAP . I. 263 GEOMETRY .
Page 264
... ( Prop . 1. ) are radii of the same circle ACF . Wherefore the lines AC and BC , being each equal to the line AB , are equal to one another , and all the three sides of the triangle ACB are equal ; that is , the triangle is equilateral ...
... ( Prop . 1. ) are radii of the same circle ACF . Wherefore the lines AC and BC , being each equal to the line AB , are equal to one another , and all the three sides of the triangle ACB are equal ; that is , the triangle is equilateral ...
Page 265
... ( Prop . 5. ) are identical , or have all their parts equal ; where- fore the two angles at D are equal . Again , in the two smaller triangles ADC , CDB the side DA is made equal to the side DB , and the side DC is common to the two ...
... ( Prop . 5. ) are identical , or have all their parts equal ; where- fore the two angles at D are equal . Again , in the two smaller triangles ADC , CDB the side DA is made equal to the side DB , and the side DC is common to the two ...
Page 266
... ( 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 267
... ( 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 . M G Remark . In identical triangles the equal angles are always opposite to equal sides , as hy this ...
... ( 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 . M G Remark . In identical triangles the equal angles are always opposite to equal sides , as hy this ...
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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 depth describe diameter dome Doric order draw edifices ellipsis employed entablature equal erected examples extrados feet girder given Gothic granite half horizontal inches intercolumniations joints length lime limestone marble mortar mouldings nave oolite ornaments palace parallel parallelogram perpendicular piece piers placed plane plates portico Portland stone Prop proportion pyramid quarries radius rectangle ribs right angles right line Roman Roman architecture Rome roof 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 weight whereof width wood