Difference between revisions of "Store:ACvericale"

Latest revision as of 16:05, 21 December 2024

Descrizione delle misure lineari ed angolari

Rappresentazione scalare dei tracciati condilari

Descrizione delle distanze e delle direzioni

Di seguito sono riportate le distanze calcolate tra i punti rispetto al punto di partenza (punto 1) considerato il unto di riferimento essendo la mandibola in una posizione di Massima Intercuspidazione e le relative direzioni nello spazio, utilizzando le coordinate corrette per gli assi $X$ (antero-posteriore) e $Y$ (latero-mediale).

Calcolo delle distanze tra i punti

Coordinate dei punti:

1L: $(58.3,-50.9)$

2L: $(59,-92.3)$

3L: $(46.3,-169.5)$

4L: $(44.1,-207.7)$

5L: $(38.4,-136.2)$

6L: $(36.4,-48.2)$

7L: $(44,-34.9)$

8L: $(52.9,-48)$

Fattore di scala: $0.04184\,{\text{mm/pixel}}$

Distanze rispetto a 1L:**

2L:

$d={\sqrt {(59-58.3)^{2}+(-92.3-(-50.9))^{2}}}={\sqrt {(0.7)^{2}+(-41.4)^{2}}}={\sqrt {0.49+1714.36}}\approx 41.41\,{\text{pixel}}$ $d=41.41\cdot 0.04184\approx 1.734\,{\text{mm}}$

3L:

$d={\sqrt {(46.3-58.3)^{2}+(-169.5-(-50.9))^{2}}}={\sqrt {(-12)^{2}+(-118.6)^{2}}}={\sqrt {144+14063.96}}\approx 119.17\,{\text{pixel}}$ $d=119.17\cdot 0.04184\approx 4.99\,{\text{mm}}$

4L:

$d={\sqrt {(44.1-58.3)^{2}+(-207.7-(-50.9))^{2}}}={\sqrt {(-14.2)^{2}+(-156.8)^{2}}}={\sqrt {201.64+24589.44}}\approx 157.43\,{\text{pixel}}$ $d=157.43\cdot 0.04184\approx 6.59\,{\text{mm}}$

5L:

$d={\sqrt {(38.4-58.3)^{2}+(-136.2-(-50.9))^{2}}}={\sqrt {(-19.9)^{2}+(-85.3)^{2}}}={\sqrt {396.01+7275.09}}\approx 87.6\,{\text{pixel}}$ $d=87.6\cdot 0.04184\approx 3.66\,{\text{mm}}$

6L:

$d={\sqrt {(36.4-58.3)^{2}+(-48.2-(-50.9))^{2}}}={\sqrt {(-21.9)^{2}+(2.7)^{2}}}={\sqrt {479.61+7.29}}\approx 22.06\,{\text{pixel}}$ $d=22.06\cdot 0.04184\approx 0.923\,{\text{mm}}$

7L:

$d={\sqrt {(44-58.3)^{2}+(-34.9-(-50.9))^{2}}}={\sqrt {(-14.3)^{2}+(16)^{2}}}={\sqrt {204.49+256}}\approx 21.47\,{\text{pixel}}$ $d=21.47\cdot 0.04184\approx 0.898\,{\text{mm}}$

8L:

$d={\sqrt {(52.9-58.3)^{2}+(-48-(-50.9))^{2}}}={\sqrt {(-5.4)^{2}+(2.9)^{2}}}={\sqrt {29.16+8.41}}\approx 6.13\,{\text{pixel}}$

$d=6.13\cdot 0.04184\approx 0.257\,{\text{mm}}$

Tabella riepilogativa
Distanze rispetto a 1L
Punto	Distanza (pixel)	Distanza (mm)
2L	$41.41$	$1.734$
3L	$119.17$	$4.99$
4L	$157.43$	$6.59$
5L	$87.6$	$3.66$
6L	$22.06$	$0.923$
7L	$21.47$	$0.898$
8L	$6.13$	$0.257$

@@ Line 10: / Line 10: @@
 Coordinate dei punti:
-***1L**: <math>(58.3, -50.9)</math>
+L: <math>(58.3, -50.9)</math>
-***2L**: <math>(59, -92.3)  </math>
-***3L**: <math>(46.3, -169.5)</math>
-***4L**: <math>(44.1, -207.7)</math>
-***5L**: <math>(38.4, -136.2)</math>
-***6L**: <math>(36.4, -48.2)</math>
-***7L**: <math>(44, -34.9)</math>
-***8L**: <math>(52.9, -48)  </math>
+L: <math>(59, -92.3)  </math>
-Fattore di scala:** <math>0.04184 \, \text{mm/pixel}</math>
+L: <math>(46.3, -169.5)</math>
+L: <math>(44.1, -207.7)</math>
+L: <math>(38.4, -136.2)</math>
+L: <math>(36.4, -48.2)</math>
+L: <math>(44, -34.9)</math>
+L: <math>(52.9, -48)  </math>
+'''Fattore di scala:''' <math>0.04184 \, \text{mm/pixel}</math>
 Distanze rispetto a 1L:**
-***2L**:
+'''2L:'''
 <math>d = \sqrt{(59 - 58.3)^2 + (-92.3 - (-50.9))^2} = \sqrt{(0.7)^2 + (-41.4)^2} = \sqrt{0.49 + 1714.36} \approx 41.41 \, \text{pixel}</math>
 <math>d = 41.41 \cdot 0.04184 \approx 1.734 \, \text{mm}</math>
+'''3L:'''
-***3L**:
 <math>d = \sqrt{(46.3 - 58.3)^2 + (-169.5 - (-50.9))^2} = \sqrt{(-12)^2 + (-118.6)^2} = \sqrt{144 + 14063.96} \approx 119.17 \, \text{pixel}</math>
 <math>d = 119.17 \cdot 0.04184 \approx 4.99 \, \text{mm} </math>
+'''4L:'''
-***4L**:
 <math>d = \sqrt{(44.1 - 58.3)^2 + (-207.7 - (-50.9))^2} = \sqrt{(-14.2)^2 + (-156.8)^2} = \sqrt{201.64 + 24589.44} \approx 157.43 \, \text{pixel}</math>
 <math>d = 157.43 \cdot 0.04184 \approx 6.59 \, \text{mm}</math>
+'''5L:'''
-***5L**:
 <math>d = \sqrt{(38.4 - 58.3)^2 + (-136.2 - (-50.9))^2} = \sqrt{(-19.9)^2 + (-85.3)^2} = \sqrt{396.01 + 7275.09} \approx 87.6 \, \text{pixel}</math>
 <math>d = 87.6 \cdot 0.04184 \approx 3.66 \, \text{mm}</math>
+'''6L:'''
-***6L**:
 <math>d = \sqrt{(36.4 - 58.3)^2 + (-48.2 - (-50.9))^2} = \sqrt{(-21.9)^2 + (2.7)^2} = \sqrt{479.61 + 7.29} \approx 22.06 \, \text{pixel}</math>
 <math>d = 22.06 \cdot 0.04184 \approx 0.923 \, \text{mm}</math>
+'''7L:'''
-***7L**:
 <math>d = \sqrt{(44 - 58.3)^2 + (-34.9 - (-50.9))^2} = \sqrt{(-14.3)^2 + (16)^2} = \sqrt{204.49 + 256} \approx 21.47 \, \text{pixel}</math>
 <math>d = 21.47 \cdot 0.04184 \approx 0.898 \, \text{mm}  </math>
+'''8L:'''
-* **8L**:
 <math>d = \sqrt{(52.9 - 58.3)^2 + (-48 - (-50.9))^2} = \sqrt{(-5.4)^2 + (2.9)^2} = \sqrt{29.16 + 8.41} \approx 6.13 \, \text{pixel}</math>
 <math>d = 6.13 \cdot 0.04184 \approx 0.257 \, \text{mm}</math>