NEC NP-VE281 Installation Guide - Page 2

Ceiling and Desktop Mounted, Formulas, Distance Chart for popular 4:3 screens

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NEC Display Solutions of America, Inc. VE281/VE281X/VE282B/VE282XB Installation Guide Ceiling and Desktop Mounted Rev 1.0 Formulas The Projection Formulas use the image width for calculation. For proper projection placement, determine the image width for the desired screen size. Use the Screen Formulas below to calculate all screen dimensions. Plug in the width for "W" in the Projection Formulas. Refer to the diagrams and charts below for popular screen sizes: Definitions: W = Image Width H = Image Height (size) B = Vertical distance between lens center and screen center C = Throw distance D = Vertical distance between lens center and screen top (screen bottom for desktop application) 4:3 Screen Formulas: W = H x 4/3 H = W x 3/4 Screen Diagonal = W x 5/4 Projection Formulas: B = 0.487W C (wide) = 1.94W C (tele) = 2.165W D = 0.112W α (wide) = tan¯¹ (B/C(wide)) α (tele) = tan¯¹ (B/C(tele)) Distance Chart for popular 4:3 screens Screen Size (4:3) B Diagonal Width(W) Height (H) inches inches inches 30 24 18 inches 12 60 48 36 23 67 53.6 40.2 26 72 57.6 43.2 28 84 67.2 50.4 33 . 90 72 54 35 100 80 60 39 120 96 72 47 150 120 90 58 180 144 108 70 210 168 126 82 240 192 144 94 270 216 162 105 300 240 180 117 C w ide - tele inches 46 - 52 93 - 104 104 - 116 111 - 125 130 - 146 139 - 156 155 - 173 186 - 208 232 - 260 279 - 312 325 - 364 372 - 416 418 - 468 465 - 520 D inches 3 5 6 6 8 8 9 11 13 16 19 22 24 27 α w ide - tele degrees 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 14.1 - 12.7 Note: For screen sizes not indicated on the projection tables, use the formulas on above www.necdisplay.com VE281/VE281X/VE282B/VE282XB Page 2 of 8

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NEC Display Solutions of America, Inc.
VE281/VE281X/VE282B/VE282XB Installation Guide
Ceiling and Desktop Mounted
Rev 1.0
www.necdisplay.com
VE281/VE281X/VE282B/VE282XB
Page 2 of 8
Formulas
The Projection Formulas use the image width for calculation. For proper projection placement, determine the image width
for the desired screen size. Use the Screen Formulas below to calculate all screen dimensions. Plug in the width for “W” in
the Projection Formulas.
Refer to the diagrams and charts below for popular screen sizes:
Definitions:
4:3 Screen Formulas:
W = Image Width
W = H x 4/3
H = Image Height (size)
H = W x 3/4
B = Vertical distance between lens center and screen center
Screen Diagonal = W x 5/4
C = Throw distance
D = Vertical distance between lens center and screen top
(screen bottom for desktop application)
Projection Formulas:
B
= 0.487W
C
(wide) = 1.94W
C
(tele)
= 2.165W
D
= 0.112W
α
(wide) = tan¯¹ (B/C(wide))
α
(tele) = tan¯¹ (B/C(tele))
Distance Chart for popular 4:3 screens
.
Note:
For screen sizes not indicated on the projection tables, use the formulas on above
Diagonal
Width(W)
Height (H)
inches
inches
inches
inches
30
24
18
12
46
-
52
14.1
-
12.7
60
48
36
23
93
-
104
14.1
-
12.7
67
53.6
40.2
26
104
-
116
14.1
-
12.7
72
57.6
43.2
28
111
-
125
14.1
-
12.7
84
67.2
50.4
33
130
-
146
14.1
-
12.7
90
72
54
35
139
-
156
14.1
-
12.7
100
80
60
39
155
-
173
14.1
-
12.7
120
96
72
47
186
-
208
14.1
-
12.7
150
120
90
58
232
-
260
14.1
-
12.7
180
144
108
70
279
-
312
14.1
-
12.7
210
168
126
82
325
-
364
14.1
-
12.7
240
192
144
94
372
-
416
14.1
-
12.7
270
216
162
105
418
-
468
14.1
-
12.7
300
240
180
117
465
-
520
14.1
-
12.7
19
22
24
27
9
11
13
16
6
6
8
8
D
α
w ide - tele
degrees
Screen Size (4:3)
5
inches
3
B
C
w ide - tele
inches