[NatureNS] Earliest Sunset Today

From: Patrick Kelly <patrick.kelly@dal.ca>
To: naturens@chebucto.ns.ca
Date: Thu, 11 Dec 2008 17:13:00 -0400
References: <20081210131756.2kp6lbv6v0xwco4w@my2.dal.ca> <C1CF9B47-7C19-4968-B54A-6ACE5D14A322@glinx.com> <FC1E7813-5526-462D-891D-B57C57537446@dal.ca> <3A05A12EAD60443AB8713F796DD129DA@D58WQPH1>
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Hi everyone:

David is correct. the "left-right" direction of the analemma is caused =20=

by a combination of two effects, the 23.5=B0 inclination of the Earth =20=

causing the Sun's apparent motion to vary as it usually is moving both =20=

westward on the celestial sphere with a varying amount fo north south =20=

movement over the year , and the fact that the Earth is in an =20
elliptical orbit about the Sun. The MUCH larger  "up-down" direction =20
of the analemma is caused entirely by the 23.5=B0 inclination.

I guess that I forget that there is one thing that was in the diagram =20=

that not everyone may realise. The grid lines that run from upper left =20=

to lower right indicate the direction in which the Sun moves at our =20
latitude. Thus the earliest sunrise will be the date for which the =20
analemma, which indicates the Sun's position will first touch the =20
horizon. You can see from Sherman's diagram that on Dec. 10 it is =20
totally below the horizon. if you put the Sun at the dot that =20
indicates Dec. 21, you will see that most of it is still above the =20
horizon, thus it won't fully set until later in the day.

Patrick


On Dec 10, 2008, at 8:21 PM, David Webster wrote:

> Hi Sherman, Patrick & All,                Dec 10, 2008
>     Thanks as usual Sherman for the interesting post but Patrick, =20
> the graph does not show why the dates of earliest sunset... don't =20
> coincide with the solstice it shows how they don't coincide.
>
>     I have not looked at this for some years (8 perhaps ?) but the =20
> fundamental 'cause' of this apparent discrepancy is I think (largely =20=

> if not entirely) due to the practice of expressing sunrise and =20
> sunset in terms of mean solar days and these depart from actual =20
> solar days. Consequently the clock (i.e. time expressed in mean =20
> solar days) is variously ahead of or behind the sun; thus the =20
> Analemma.
> Yt, DW, Kentville
> ----- Original Message -----
> From: Patrick Kelly
> To: naturens@chebucto.ns.ca
> Sent: Wednesday, December 10, 2008 3:19 PM
> Subject: Re: [NatureNS] Earliest Sunset Today
>
> Hi Sherman:
>
> Amazing. That one picture finally showed me why the dates of =20
> earliest sunset and latest sunrise (and vice versa in the summer)  =20
> aren't the same as solstices. It's because the analemma is tipped.  =20=

> As they say in Star Trek: Shaka, his eyes open!
>
> Way to go Sherm!
>
> Patrick
>
>
> On Dec 10, 2008, at 2:30 PM, Sherman Williams wrote:
>
>> For those near 45 degrees north latitude, TODAY marks the EARLIEST =20=

>> SUNSET (about 4:34 p.m. here in Avonport). Starting tomorrow the =20
>> Sun begins to set a little later, not by any large amount, but by =20
>> Dec 31 Sun is setting about 11 minutes later than today (4:45 p.m., =20=

>> about the time Sun was setting on Nov 17th).    Latest sunrise is =20
>> not until Jan 2nd.  December 21st is the shortest daylight.
>>
>> Thinking about this, I created a diagram (using Starry Night =20
>> software) to show Sun's position relative to the horizon at about =20
>> 4:35 p.m. each day through December. It is actually the very =20
>> southern tip of the analemma, when the Sun is near the winter =20
>> solstice, as it is now.
>> Diagram at  http://web.mac.com/sherm39/iWeb/Site/analemma1.html
>> or  http://web.mac.com/sherm39/iWeb/Site/main_index.html
>>
>> Sherman
>
>
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> Patrick Kelly
> Director of Computer Facilities
> =3D=20
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> Faculty of Architecture and Planning
> Dalhousie University
> =3D=20
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> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
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> PO Box 1000 Stn Central                5410 Spring Garden Road
> Halifax, Nova Scotia B3J 2X4           Halifax, Nova Scotia B3J 2X4
> Canada                                 Canada
> =3D=20
> =3D=20
> =3D=20
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> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
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> Phone:(902) 494-3294    FAX:(902) 423-6672   =
E-mail:patrick.kelly@dal.ca
> =3D=20
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>
>
>
>
> No virus found in this incoming message.
> Checked by AVG - http://www.avg.com
> Version: 8.0.176 / Virus Database: 270.9.16/1841 - Release Date: =20
> 12/10/2008 9:30 AM


=3D=20
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Patrick Kelly
Director of Computer Facilities
=3D=20
=3D=20
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
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Faculty of Architecture and Planning
Dalhousie University
=3D=20
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PO Box 1000 Stn Central                5410 Spring Garden Road
Halifax, Nova Scotia B3J 2X4           Halifax, Nova Scotia B3J 2X4
Canada                                 Canada
=3D=20
=3D=20
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
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Phone:(902) 494-3294    FAX:(902) 423-6672   E-mail:patrick.kelly@dal.ca
=3D=20
=3D=20
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
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<html><body style=3D"word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space; ">Hi =
everyone:<div><br></div><div>David is correct. the "left-right" =
direction of the analemma is caused by a combination of two effects, the =
23.5=B0 inclination of the Earth&nbsp;causing&nbsp;the Sun's apparent =
motion to vary as it&nbsp;usually&nbsp;is moving both westward on the =
celestial sphere with a varying amount fo north south movement over the =
year , and the fact that the Earth is in an elliptical orbit about the =
Sun. The MUCH larger &nbsp;"up-down"&nbsp;direction&nbsp;of the analemma =
is caused entirely by the 23.5=B0 =
inclination.</div><div><br></div><div>I guess that I forget that there =
is one thing that was in the diagram that not everyone may realise. The =
grid lines that run from upper left to lower right indicate the =
direction in which the Sun moves at our latitude. Thus the earliest =
sunrise will be the date for which the analemma, which indicates the =
Sun's position will first touch the horizon. You can see from =
Sherman's&nbsp;diagram&nbsp;that on Dec. 10 it is totally below the =
horizon. if you put the Sun at the dot that indicates Dec. 21, you will =
see that most of it is still above the horizon, thus it won't fully set =
until later in the =
day.</div><div><br></div><div>Patrick</div><div><br></div><div>&nbsp;<br><=
div><div>On Dec 10, 2008, at 8:21 PM, David Webster wrote:</div><br =
class=3D"Apple-interchange-newline"><blockquote type=3D"cite"><span =
class=3D"Apple-style-span" style=3D"border-collapse: separate; color: =
rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: =
normal; font-variant: normal; font-weight: normal; letter-spacing: =
normal; line-height: normal; orphans: 2; text-align: auto; text-indent: =
0px; text-transform: none; white-space: normal; widows: 2; word-spacing: =
0px; -webkit-border-horizontal-spacing: 0px; =
-webkit-border-vertical-spacing: 0px; =
-webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: =
auto; -webkit-text-stroke-width: 0; "><div bgcolor=3D"#ffffff" =
style=3D"word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space; "><div><font face=3D"Arial" =
size=3D"2">Hi Sherman, Patrick &amp; All,&nbsp;&nbsp;&nbsp; =
&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Dec 10, =
2008</font></div><div><font face=3D"Arial" size=3D"2">&nbsp;&nbsp;&nbsp; =
Thanks as usual Sherman for the interesting post but Patrick, the graph =
does not show<span =
class=3D"Apple-converted-space">&nbsp;</span><strong>why</strong><span =
class=3D"Apple-converted-space">&nbsp;</span>the dates of earliest =
sunset... don't coincide with the solstice it shows<span =
class=3D"Apple-converted-space">&nbsp;</span><strong>how<span =
class=3D"Apple-converted-space">&nbsp;</span></strong>they don't =
coincide.</font></div><div><font face=3D"Arial" =
size=3D"2"></font>&nbsp;</div><div><font face=3D"Arial" =
size=3D"2">&nbsp;&nbsp;&nbsp; I have not looked at this for some years =
(8 perhaps ?) but the fundamental 'cause' of this apparent discrepancy =
is I think (largely if not entirely)&nbsp;due to the practice of =
expressing sunrise and sunset in terms of mean solar days and these =
depart from actual solar days. Consequently the clock (i.e. time =
expressed in mean solar days) is variously ahead of or behind the sun; =
thus the Analemma.</font></div><div><font face=3D"Arial" size=3D"2">Yt, =
DW, Kentville</font>&nbsp;</div><blockquote style=3D"padding-right: 0px; =
padding-left: 5px; margin-left: 5px; border-left-color: rgb(0, 0, 0); =
border-left-width: 2px; border-left-style: solid; margin-right: 0px; =
"><div style=3D"font: normal normal normal 10pt/normal arial; ">----- =
Original Message -----</div><div style=3D"background-image: initial; =
background-repeat: initial; background-attachment: initial; =
-webkit-background-clip: initial; -webkit-background-origin: initial; =
background-color: rgb(228, 228, 228); font: normal normal normal =
10pt/normal arial; background-position: initial initial; =
"><b>From:</b><span class=3D"Apple-converted-space">&nbsp;</span><a =
title=3D"patrick.kelly@DAL.CA" =
href=3D"mailto:patrick.kelly@DAL.CA">Patrick Kelly</a></div><div =
style=3D"font: normal normal normal 10pt/normal arial; "><b>To:</b><span =
class=3D"Apple-converted-space">&nbsp;</span><a =
title=3D"naturens@chebucto.ns.ca" =
href=3D"mailto:naturens@chebucto.ns.ca">naturens@chebucto.ns.ca</a></div><=
div style=3D"font: normal normal normal 10pt/normal arial; =
"><b>Sent:</b><span =
class=3D"Apple-converted-space">&nbsp;</span>Wednesday, December 10, =
2008 3:19 PM</div><div style=3D"font: normal normal normal 10pt/normal =
arial; "><b>Subject:</b><span =
class=3D"Apple-converted-space">&nbsp;</span>Re: [NatureNS] Earliest =
Sunset Today</div><div><br></div>Hi Sherman:<div><br></div><div>Amazing. =
That one picture finally showed me why the dates of earliest sunset and =
latest sunrise (and vice versa in the summer) &nbsp;aren't the same as =
solstices. It's because the analemma is tipped. &nbsp;As they say in =
Star Trek: Shaka, his eyes open!</div><div><br></div><div>Way to go =
Sherm!</div><div><br></div><div>Patrick</div><div><br></div><div><br><div>=
<div>On Dec 10, 2008, at 2:30 PM, Sherman Williams wrote:</div><br =
class=3D"Apple-interchange-newline"><blockquote type=3D"cite"><div =
style=3D"word-wrap: break-word; -webkit-nbsp-mode: space; =
-webkit-line-break: after-white-space; ">For those near 45 degrees north =
latitude, TODAY marks the EARLIEST SUNSET (about 4:34 p.m. here in =
Avonport). Starting tomorrow the Sun begins to set a little later, not =
by any large amount, but by Dec 31 Sun is setting about 11 minutes later =
than today (4:45 p.m., about the time Sun was setting on Nov 17th). =
&nbsp; &nbsp;Latest sunrise is not until Jan 2nd. &nbsp;December 21st is =
the shortest daylight.<div><br></div><div>Thinking about this, I created =
a diagram (using Starry Night software) to show Sun's position relative =
to the horizon at about 4:35 p.m. each day through December. It is =
actually the very southern tip of the analemma, when the Sun is near the =
winter solstice, as it is now.</div><div>Diagram at &nbsp;<a =
href=3D"http://web.mac.com/sherm39/iWeb/Site/analemma1.html">http://web.ma=
c.com/sherm39/iWeb/Site/analemma1.html</a></div><div><div><div>or =
&nbsp;<a =
href=3D"http://web.mac.com/sherm39/iWeb/Site/main_index.html">http://web.m=
ac.com/sherm39/iWeb/Site/main_index.html</a></div><div><br></div><div>Sher=
man</div></div></div></div></blockquote></div><br><div =
apple-content-edited=3D"true"><div><div style=3D"min-height: 14px; =
margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: =
0px; font: normal normal normal 12px/normal Courier; "><br></div><div =
style=3D"margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; "><font face=3D"Courier" size=3D"3" style=3D"font: =
normal normal normal 12px/normal Courier; =
">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">Patrick =
Kelly</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">Director of =
Computer Facilities</font></div><div style=3D"margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font =
face=3D"Courier" size=3D"3" style=3D"font: normal normal normal =
12px/normal Courier; =
">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">Faculty of =
Architecture and Planning</font></div><div style=3D"margin-top: 0px; =
margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font =
face=3D"Courier" size=3D"3" style=3D"font: normal normal normal =
12px/normal Courier; ">Dalhousie University</font></div><div =
style=3D"margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; "><font face=3D"Courier" size=3D"3" style=3D"font: =
normal normal normal 12px/normal Courier; =
">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">PO Box 1000 =
Stn Central<span class=3D"Apple-converted-space">&nbsp; &nbsp; &nbsp; =
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span =
class=3D"Apple-converted-space">&nbsp;</span></span>5410 Spring Garden =
Road</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">Halifax, Nova =
Scotia B3J 2X4<span class=3D"Apple-converted-space">&nbsp;</span><span =
class=3D"Apple-converted-space">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span =
class=3D"Apple-converted-space">&nbsp;</span></span>Halifax, Nova Scotia =
B3J 2X4</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">Canada<span =
class=3D"Apple-converted-space">&nbsp;</span><span =
class=3D"Apple-converted-space">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =
&nbsp;<span =
class=3D"Apple-converted-space">&nbsp;</span></span>Canada</font></div><di=
v style=3D"margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; "><font face=3D"Courier" size=3D"3" style=3D"font: =
normal normal normal 12px/normal Courier; =
">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
</font></div><div style=3D"margin-top: 0px; margin-right: 0px; =
margin-bottom: 0px; margin-left: 0px; "><font face=3D"Courier" size=3D"3" =
style=3D"font: normal normal normal 12px/normal Courier; ">Phone:(902) =
494-3294<span class=3D"Apple-converted-space">&nbsp; &nbsp;<span =
class=3D"Apple-converted-space">&nbsp;</span></span>FAX:(902) =
423-6672<span class=3D"Apple-converted-space">&nbsp;</span><span =
class=3D"Apple-converted-space">&nbsp;<span =
class=3D"Apple-converted-space">&nbsp;</span></span>E-mail:<a =
href=3D"mailto:patrick.kelly@dal.ca">patrick.kelly@dal.ca</a></font></div>=
<div style=3D"margin-top: 0px; margin-right: 0px; margin-bottom: 0px; =
margin-left: 0px; "><font face=3D"Courier" size=3D"3" style=3D"font: =
normal normal normal 12px/normal Courier; =
">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
</font></div></div></div><br></div><div><br =
class=3D"webkit-block-placeholder"></div><hr><div><br =
class=3D"webkit-block-placeholder"></div><br>No virus found in this =
incoming message.<br>Checked by AVG -<span =
class=3D"Apple-converted-space">&nbsp;</span><a =
href=3D"http://www.avg.com">http://www.avg.com</a><span =
class=3D"Apple-converted-space">&nbsp;</span><br>Version: 8.0.176 / =
Virus Database: 270.9.16/1841 - Release Date: 12/10/2008 9:30 =
AM<br></blockquote></div></span></blockquote></div><br><div =
apple-content-edited=3D"true"> <div><p style=3D"margin: 0.0px 0.0px =
0.0px 0.0px; font: 12.0px Courier; min-height: 14.0px"><br></p> <p =
style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font face=3D"Courier" =
size=3D"3" style=3D"font: 12.0px =
Courier">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font =
face=3D"Courier" size=3D"3" style=3D"font: 12.0px Courier">Patrick =
Kelly</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font =
face=3D"Courier" size=3D"3" style=3D"font: 12.0px Courier">Director of =
Computer Facilities</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px =
0.0px"><font face=3D"Courier" size=3D"3" style=3D"font: 12.0px =
Courier">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font =
face=3D"Courier" size=3D"3" style=3D"font: 12.0px Courier">Faculty of =
Architecture and Planning</font></p> <p style=3D"margin: 0.0px 0.0px =
0.0px 0.0px"><font face=3D"Courier" size=3D"3" style=3D"font: 12.0px =
Courier">Dalhousie University</font></p> <p style=3D"margin: 0.0px 0.0px =
0.0px 0.0px"><font face=3D"Courier" size=3D"3" style=3D"font: 12.0px =
Courier">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font =
face=3D"Courier" size=3D"3" style=3D"font: 12.0px Courier">PO Box 1000 =
Stn Central<span class=3D"Apple-converted-space">&nbsp; &nbsp; &nbsp; =
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; </span>5410 Spring Garden =
Road</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font =
face=3D"Courier" size=3D"3" style=3D"font: 12.0px Courier">Halifax, Nova =
Scotia B3J 2X4 <span class=3D"Apple-converted-space">&nbsp; &nbsp; =
&nbsp; &nbsp; &nbsp; </span>Halifax, Nova Scotia B3J 2X4</font></p> <p =
style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font face=3D"Courier" =
size=3D"3" style=3D"font: 12.0px Courier">Canada <span =
class=3D"Apple-converted-space">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =
&nbsp; </span>Canada</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px =
0.0px"><font face=3D"Courier" size=3D"3" style=3D"font: 12.0px =
Courier">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D</font></p> <p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font =
face=3D"Courier" size=3D"3" style=3D"font: 12.0px Courier">Phone:(902) =
494-3294<span class=3D"Apple-converted-space">&nbsp; &nbsp; =
</span>FAX:(902) 423-6672 <span class=3D"Apple-converted-space">&nbsp; =
</span>E-mail:<a =
href=3D"mailto:patrick.kelly@dal.ca">patrick.kelly@dal.ca</a></font></p> =
<p style=3D"margin: 0.0px 0.0px 0.0px 0.0px"><font face=3D"Courier" =
size=3D"3" style=3D"font: 12.0px =
Courier">=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D</font></p> </div> </div><br></div></body></html>=

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