Download - L’assonometria obliqua
![Page 1: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/1.jpg)
L’assonometria obliqua
Applicazioni del teorema di Pohlke
![Page 2: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/2.jpg)
Tre segmenti complanari A’B’, A’C’, A’D’ che abbiano in comune un vertice (A’) di qualunque lunghezza e inclinazione reciproca, purché non più di due siano sovrapposti, sono leggibili sempre come immagine ottenuta per proiezione parallela sul piano di tre segmenti AB, AC, AD triortogoanli e congruenti.
Teorema di Karl Pohlke (1856)
![Page 3: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/3.jpg)
Assonometrie obliqueEsistono quattro infinità di assonometrie oblique ma i casi di maggior rilievo iconografico sono l’assonometria cavaliera e quella militare.
Militare – il piano di proiezione è parallelo ad un piano orizzontale (pianta) del soggetto
Cavaliera – il piano di proiezione è parallelo ad un piano frontale (prospetto) del soggetto
![Page 4: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/4.jpg)
Militare – il piano di proiezione è parallelo ad un piano orizzontale (pianta) del soggetto
Cavaliera – il piano di proiezione è parallelo ad un piano frontale (prospetto) del soggetto
![Page 5: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/5.jpg)
ASSONOMETRIA
MILITARE
![Page 6: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/6.jpg)
![Page 7: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/7.jpg)
![Page 8: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/8.jpg)
Auguste Choisy, Histoire de l’architecture, Paris 1899
Assonometria militare
“dal basso”
![Page 9: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/9.jpg)
![Page 10: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/10.jpg)
![Page 11: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/11.jpg)
![Page 12: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/12.jpg)
![Page 13: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/13.jpg)
![Page 14: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/14.jpg)
![Page 15: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/15.jpg)
![Page 16: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/16.jpg)
ASSONOMETRIA CAVALIERA
![Page 17: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/17.jpg)
I primi due libri De ingeneis, stesi tra il 1419 e il 1450, di Taccola. Il terzo e quarto libro De ingeneis, sono composti tra il 1431 e il 1433. Il De machinis, è conservato a Monaco di Baviera, va assegnato agli anni 1430-1449.
![Page 18: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/18.jpg)
![Page 19: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/19.jpg)
![Page 20: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/20.jpg)
![Page 21: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/21.jpg)
![Page 22: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/22.jpg)
![Page 23: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/23.jpg)
![Page 24: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/24.jpg)
![Page 25: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/25.jpg)
Assonometria cavaliera dei sistemi voltati
![Page 26: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/26.jpg)
Prima esercizio
![Page 27: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/27.jpg)
![Page 28: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/28.jpg)
![Page 29: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/29.jpg)
Rappresentazione di un soggetto edile nel Metodo di Monge e in una corrispondente Assonometria cavaliera.
Si stabilisce un’affinità tra la pianta (prima proiezione ortogonale) e la pianta assonometrica, un’affinità che ha asse nella linea di terra.
![Page 30: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/30.jpg)
Costruzione di un’assonometria cavaliera connessa a una rappresentazione mongiana
![Page 31: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/31.jpg)
Metodo di Monge
![Page 32: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/32.jpg)
La terza proiezione di ribaltamento nel metodo di Monge
![Page 33: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/33.jpg)
Una nuova proiezione obliqua che genera l’assonometria cavaliera
![Page 34: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/34.jpg)
Rappresentazione mongiana e indicazione della proiezione obliqua
![Page 35: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/35.jpg)
positura di una prima coppia di elementi omologhi: la pianta assonometrica del centro del circolo
![Page 36: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/36.jpg)
Diametri del circolo che si trasformano per affinità negli assi dell’ellisse
![Page 37: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/37.jpg)
![Page 38: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/38.jpg)
La pianta assonometrica come trasformazione affine della prima proiezione mongiana
![Page 39: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/39.jpg)
relazione di traslazione tra la seconda immagine mongiana e i piani frontali rappresentati in assonometria cavaliera
![Page 40: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/40.jpg)
![Page 41: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/41.jpg)
![Page 42: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/42.jpg)
![Page 43: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/43.jpg)
![Page 44: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/44.jpg)
![Page 45: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/45.jpg)
![Page 46: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/46.jpg)
![Page 47: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/47.jpg)
![Page 48: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/48.jpg)
![Page 49: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/49.jpg)
![Page 50: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/50.jpg)
![Page 51: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/51.jpg)
![Page 52: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/52.jpg)
![Page 53: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/53.jpg)
![Page 54: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/54.jpg)
![Page 55: L’assonometria obliqua](https://reader033.vdocuments.mx/reader033/viewer/2022050819/56812baa550346895d8fdaee/html5/thumbnails/55.jpg)