perspective geometry math 121rhammack/math121/lectures/...masaccio the tribute money fresco, c. 1427...
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Perspective GeometryMATH 121
Richard Hammack: www.people.vcu.edu/∼rhammack/Math121/
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Course Goals
I Understand why parallel lines appear to converge
I Learn techniques for correct perspective drawings
I Understand why these techniques work
I Learn about the historical development of perspective
I Understand how these artistic ideas influenced mathematics
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Course Goals
I Understand why parallel lines appear to converge
I Learn techniques for correct perspective drawings
I Understand why these techniques work
I Learn about the historical development of perspective
I Understand how these artistic ideas influenced mathematics
![Page 6: Perspective Geometry MATH 121rhammack/Math121/Lectures/...Masaccio The Tribute Money Fresco, c. 1427 Brancacci Chapel Florence Self portrait Masaccio The Tribute Money Fresco, c. 1427](https://reader033.vdocuments.net/reader033/viewer/2022060515/5f899d2b4348d14ced535915/html5/thumbnails/6.jpg)
Course Goals
I Understand why parallel lines appear to converge
I Learn techniques for correct perspective drawings
I Understand why these techniques work
I Learn about the historical development of perspective
I Understand how these artistic ideas influenced mathematics
![Page 7: Perspective Geometry MATH 121rhammack/Math121/Lectures/...Masaccio The Tribute Money Fresco, c. 1427 Brancacci Chapel Florence Self portrait Masaccio The Tribute Money Fresco, c. 1427](https://reader033.vdocuments.net/reader033/viewer/2022060515/5f899d2b4348d14ced535915/html5/thumbnails/7.jpg)
Course Goals
I Understand why parallel lines appear to converge
I Learn techniques for correct perspective drawings
I Understand why these techniques work
I Learn about the historical development of perspective
I Understand how these artistic ideas influenced mathematics
![Page 8: Perspective Geometry MATH 121rhammack/Math121/Lectures/...Masaccio The Tribute Money Fresco, c. 1427 Brancacci Chapel Florence Self portrait Masaccio The Tribute Money Fresco, c. 1427](https://reader033.vdocuments.net/reader033/viewer/2022060515/5f899d2b4348d14ced535915/html5/thumbnails/8.jpg)
Course Goals
I Understand why parallel lines appear to converge
I Learn techniques for correct perspective drawings
I Understand why these techniques work
I Learn about the historical development of perspective
I Understand how these artistic ideas influenced mathematics
![Page 9: Perspective Geometry MATH 121rhammack/Math121/Lectures/...Masaccio The Tribute Money Fresco, c. 1427 Brancacci Chapel Florence Self portrait Masaccio The Tribute Money Fresco, c. 1427](https://reader033.vdocuments.net/reader033/viewer/2022060515/5f899d2b4348d14ced535915/html5/thumbnails/9.jpg)
Frescoed wall of the shrine of Hathor from Deir el-BahriNew Kingdom 1570-1070 BCE
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Spanish, c. 1180 English, c. 1270 Lippo Memmi (Italian, Sienese) c. 1340
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Giotto di Bondone
Homage of a Simple Man Meeting at the Golden Gate
(detail) 1295–1300 1304–1306
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Giotto di Bondone
Homage of a Simple Man Meeting at the Golden Gate
(detail) 1295–1300 1304–1306
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Duccio di Buoninsegna
c. 1300
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Duccio di Buoninsegna
c. 1300
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Duccio di Buoninsegna
c. 1300
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Duccio di Buoninsegna, c. 1310
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Duccio di Buoninsegna, c. 1310
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Duccio di Buoninsegna, c. 1310
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Duccio di Buoninsegna, c. 1310
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Duccio di Buoninsegna, c. 1310
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Fra Angelico
Annunciation, c. 1450
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Fra Angelico
Annunciation, c. 1450
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Fra Angelico c. 1450
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Fra Angelico c. 1450
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Lorenzo Ghiberti
Doors of Florence Baptisery 1401–1422
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Piero della Francesca
The Flagellation of Christ, 1460
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Piero della Francesca
The Flagellation of Christ, 1460
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Masaccio
TrinityFresco, c. 1426Santa Maria NovellaFlorence
Masaccio(Tommaso Cassai)
1401–1428
Masaccio
ExpulsionFresco, c. 1426
Brancacci Chapel
Florence
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Masaccio
TrinityFresco, c. 1426Santa Maria NovellaFlorence
Masaccio(Tommaso Cassai)
1401–1428
Masaccio
ExpulsionFresco, c. 1426
Brancacci Chapel
Florence
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Masaccio
TrinityFresco, c. 1426Santa Maria NovellaFlorence
Masaccio(Tommaso Cassai)
1401–1428
Masaccio
ExpulsionFresco, c. 1426
Brancacci Chapel
Florence
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Masaccio
TrinityFresco, c. 1426Santa Maria NovellaFlorence
Masaccio(Tommaso Cassai)
1401–1428
Masaccio
ExpulsionFresco, c. 1426
Brancacci Chapel
Florence
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Masaccio
Saint Peter Healing the Sick with His ShadowFresco, c. 1427Brancacci Chapel
Florence
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Masaccio
The Tribute MoneyFresco, c. 1427Brancacci Chapel
Florence
Self portrait
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Masaccio
The Tribute MoneyFresco, c. 1427Brancacci Chapel
Florence
Self portrait
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Masaccio
The Tribute MoneyFresco, c. 1427Brancacci Chapel
Florence Self portrait
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Sandro Botticelli, Annunciation, c. 1490
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Sandro Botticelli, Annunciation, c. 1490
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Sandro Botticelli, Annunciation, c. 1490
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Sandro Botticelli, Annunciation, c. 1490
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Leonardo da Vinci
Study for The Adoration of the Magi The Adoration of the Magi, c. 1481
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Albrect Durer, c. 1525
MATH 121 Web Page: www.people.vcu.edu/∼rhammack/Math121/