HISTORY 135E

Department of History
University of California, Irvine
 Instructor:    Dr. Barbara J. Becker
 

Lecture 5.  Measuring Space

 

For all their engineering prowess, the Romans showed little interest in theoretical science.  Although their commercial networks were wide-ranging, their methods of production were mainly small in scale.  Rather than re-invest in commercial development, business owners often squandered their profits on consumable goods and services.  Why bother expending time, energy and capital to develop new ways of doing things when the tried and true works well enough?

The decline and fall of the Roman Empire left its former citizens without a central political, social and economic organization to help them face the difficult challenges that lay ahead:  invasion, adverse climate and epidemic disease.

 
"Dark" Ages:  500-1000 CE
Event
Date
Fall of Rome
476
Major eruption of Mt. Vesuvius
513
Major earthquake in Antioch
526
First Pandemic (bubonic plague)
Plague of Justinian (Constantinople)
   • killed 40% of population in Byzantium
   • killed 20-25% of European population south of the Alps
 541-544
Major earthquakes in Italy
554 and 557
Plague (second wave of first pandemic) 
 557-561
Plague (third wave of first pandemic) 
570-574
Plague (fourth wave of first pandemic)
   • with smallpox?
580-582
Plague (fifth wave of first pandemic)
   • with smallpox?
588-591
Plague in Italy and France
   • most lethal since Plague of Justinian
   • killed 15% of population
599-600
 

Roughly every ten to twenty years between 600-750 CE, Europe suffered a new wave of plague.  The resulting decline in population was exacerbated by on-going territorial conflict with Germanic tribes (from the 6th c →), Muslims (7th c →), and Vikings (9th c →).

 
The "Little Optimum":  750-1250 CE
 
Life for residents of the European continent began to improve around 750 CE.  For the next five centuries, they enjoyed good climate and remained relatively plague-free.  With mean temperatures 1° C higher than the preceding 500 years, winters were generally milder.  The summers were less prone to crop-destroying rains.  The result was longer and more successful growing seasons.

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European Population, 700-1300 CE
Year
Population (millions)
Percent Increase
700
27
 
1000
42
36 (12%/century)
1050
46
9.5 (19%/century)
1100
48
4.3 (9%/century)
1150
50
4.2 (8%/century)
1200
61
22 (44%/century)
1250
69
13.1 (36%/century)
1300
73
5.8 (12%/century)

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This period showed signs of new technological innovation comparable to the first development of tools, purposeful food production and social organization.  Many of the new technologies were introduced through contact with the Far East, particularly China.

 
New Technologies
  • heavy plow -- made it posssible to till the rockier soil of Northern Europe

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  • horsecollar -- permitted horses to be used as draught animals

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  • spinning wheel -- increased the production of yarn

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  • horizontal loom -- increased the production of cloth

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  • right-angled crank -- made it possible to operate lathe, rotary grindstone

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  • water-powered machinery
  • Gothic architecture
  • Hindu-Arabic numerals
  • blast furnace
  • compass, eyeglasses, lateen sail, clockworks, firearms

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Europe's growing population posed a problem.  How could sufficient food, shelter, fuel, clothing and other necessities of life be provided for so many?  The Biblical story of man's eviction from Eden served as a grim reminder that mankind had forfeited the right to benefit from Nature's bounty except through hard labor and stewardship.  Survival would require learning to control the natural world in order to make better and more efficient use of its limited resources. 

Placing physical labor, craft and skill in such high esteem represented a new, more balanced attitude toward know-how (techné) compared with "know-why" (episteme).

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New Social and Political Organization

Life in early medieval period--

  • walled towns
    • cathedral, administrative buildings
    • roughly 50 households (~300 inhabitants)
  • most people live in countryside
Population increase motivated deforestation, draining of marshland, colonization of unclaimed land.

Food surplus generated growth of market and industry economy.

Limited availability of land--

  • rise of estate farming with tenant farmers
  • migration of population from rural areas to cities and towns
    • towns become densely-populated settlements of 10-20,000 inhabitants
 
 
Technology and the Master Builders
 
With no written instructions on how to build an arch or a dome, early West European architects learned by imitating surviving Roman structures.  They became quite adept in constructing large and elaborate arches, but for centuries domes presented them with a seemingly insurmountable challenge.  Meanwhile, in Byzantium (the former Eastern Roman Empire), the Romans' dome-building method was passed down without interruption to generations of master builders.  Both Byzantine and European architects applied the best of their skill and creative energy to constructing domed mosques and arching cathedrals.

In the early twelfth century, construction on a cathedral was begun in the outskirts of Paris at the abbey of St. Denis.  Although its overall design was based on the standard Roman basilica model, St. Denis sported some new features -- pointed arches and high vaulted ceilings.  The effect was stunning!  The development of the flying buttress to provide additional support for weighty stone walls and ceilings of these gave birth to what we now call the Gothic style of cathedral.

Considerable capital and long-term commitment was required to build one of these structures.

Cathedral
Dates
St. Denis, Paris, France
1135-1144
Notre Dame, Paris, France
1155-1250
Laon, France
1160-1200
Canterbury, England
1175-1510
Wells, England
1180-1425
Chartres, France
1194-1260
Ely
1198-1215
Reims, France
1211-1290
Amiens, France
1220-1236
Salisbury, England
1220-1265
Siena, Italy
1226-1380
Westminster Abbey, London, England
1245-1506
Lincoln, England
1229-1320
St. Chapelle, Paris, France
1243-1248
Beauvais, France
1247-1568
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The plan of Canterbury Cathedral (c. 1200)
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After the community and master builder agreed on a plan for the cathedral, land was cleared and the site staked out.  Trenches were dug to begin work on constructing the main chapel.
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Building the foundation.
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Meanwhile, wooden frames were made to serve as structural supports for the cathedral's buttress arches.
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A tracing wall often served as a guide for workmen assigned to build structures, like frameworks, that needed to be of uniform size and shape.
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Lifting the wooden frames into position so that arch construction can begin.
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Buttress design (c. 1220) for the cathedral at Reims, France, by architect Villard de Honnecourt (fl. 1220s-1230s).
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The structure begins to take shape.
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Finished buttress arches at Notre Dame in Paris.
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Hoisting and positioning the scaffolding for the interior ceiling vaults.
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Installing the interior vaulting.
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The vaulted ceiling of the "quire" inside Canterbury Cathedral.
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An aerial view of Canterbury Cathedral, started in 1175 by William of Sens.

 
S. Maria del Fiore, Florence
 

Building the Dome of S. Maria Fiore

1294
• decision made to build new cathedral in Florence
• architect Arnolfo di Cambio chosen to direct the work
1296
• first stone laid
1302
• Arnolfo dies
1334
• Giotto (c. 1266-1337) named project director
• construction started on Giotto's Belltower
1348
• Black Death hits Florence
• population reduced from 90,000 to 45,000
1377
Filippo Brunelleschi is born
1402-1416
• Brunelleschi and sculptor, Donatello, study art and architecture in Rome
1418
• Florence cathedral officials announce prize of 200 gold florins for best plan to construct octagonal dome
• Brunelleschi's proposal is chosen
1420
• August 7--construction officially begins
1427
• barge designed by Brunelleschi for transporting marble on Arno River capsizes
1429
• cracks develop in main nave close to dome's octagonal base
• construction slowed for several years
1430
• Brunelleschi's plan to flood enemy city ends in failure
1432
• Brunelleschi presents model for the lantern
1435
• last timber compression ring set on the summit of the dome
1436
• March 25, S. Maria del Fiore is consecrated
• dome "almost" finished--lacks last round of bricks, lantern and roof tiles
1446
• April 15, Brunelleschi dies
1461
• lantern is completed
 

The Florentine cathedral's planners envisioned it as the largest in the world.  It would be capped by a dome the likes of which had never been built.  It was a good idea, but not a very realistic one.  Architectural know-how of the day was simply not up to the task.

The large octagonal space above which the dome was to rise was so large that traditional construction techniques could not be used.  The cathedral remained dome-less long after the nave had been completed.

What was unique about Brunelleschi's plan was his conviction that the task could be accomplished without the need to support the structure while it was being built.  In other words, he argued that he knew a way to build the dome so that it would support itself while it was under construction!

The wooden frameworks, or centerings, that were usually used to build arches served a number of purposes.  They provided much-needed structural integrity during the construction.  Loose stones or bricks could be positioned without fear of disturbing those that were already in place.  Mortar could harden without worrying that newly-laid bricks would slip.  When necessary, workers could stand on the framework permitting a variety of building tasks to proceed simultaneously.  As the job progresssed over the years and individuals joined and left the workforce, the centering would remain as a permanent guide to the structure's final shape.  Building his dome without wooden frameworks meant Brunelleschi would not have these advantages.

Viewed edge-on, each of the eight walls of the dome is a segment of a circle whose radius is four-fifths of the distance that separates two opposing walls.
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Without a fixed framework to rely on, Brunelleschi had to find a reliable, yet transitory, way to guide the developing shape of the dome.

The bricks of the dome could not be layered one on top of another like those in an ordinary upright wall.  The surface of each new layer would have to be slanted at an angle that would maintain the necessary curvature.  Layer by layer, that slant would have to be redetermined.

As the dome rises, the necessary slant of each new layer's surface can be found by generating a cone whose apex is located where the dome's centerline intersects the radius of the wall's arc.
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A modern model of Brunelleschi's dome in the process of being built.
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The herringbone pattern used by the bricklayers is visible as you walk in the space separating the inner and outer domes.
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Climbing the stairs that surmount the inner dome.
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A view of the dome on a rainy December day.
 
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