From 082f773736dc185ea5e3770fa7da92d44da06ea9 Mon Sep 17 00:00:00 2001
From: PatrikBak <patrik.bak.x@gmail.com>
Date: Thu, 14 May 2026 02:47:54 +0200
Subject: [PATCH] Make handout figure PDFs reproducible

asy's bundled Ghostscript stamps /CreationDate, /ModDate, /ID, and
the embedded XMP metadata with wall-clock values, producing a
spurious diff on every re-render. The Windows GS builds available
here ignore SOURCE_DATE_EPOCH and the -dOmit* flags, so the export
script now patches those fields in place using values derived from
the .asy mtime and a SHA-256 of its contents - same source, same PDF.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
---
 data/handouts/Images/_Export-Asy.ps1          |  40 +++++++++++++++++-
 data/handouts/Images/ag-proof.pdf             | Bin 4854 -> 4854 bytes
 data/handouts/Images/angles-90-60-30.pdf      | Bin 7036 -> 7036 bytes
 .../Images/angles-Ssa-proof-isosceles.pdf     | Bin 5466 -> 5466 bytes
 .../Images/angles-Ssa-proof-one-solution.pdf  | Bin 5425 -> 5425 bytes
 .../Images/angles-Ssa-proof-two-solutions.pdf | Bin 6840 -> 6840 bytes
 data/handouts/Images/angles-alternate.pdf     | Bin 2736 -> 2736 bytes
 data/handouts/Images/angles-asa-proof.pdf     | Bin 6595 -> 6595 bytes
 .../angles-complementary-in-triangle.pdf      | Bin 6280 -> 6280 bytes
 ...angles-complementary-parallel-solution.pdf | Bin 5343 -> 5343 bytes
 ...ngles-complementary-parallel-statement.pdf | Bin 4400 -> 4400 bytes
 ...ing-alternate-supplementary-connection.pdf | Bin 4691 -> 4691 bytes
 data/handouts/Images/angles-corresponding.pdf | Bin 2737 -> 2737 bytes
 data/handouts/Images/angles-equilateral.pdf   | Bin 6996 -> 6996 bytes
 .../angles-isosceles-right-triangle.pdf       | Bin 5050 -> 5050 bytes
 .../Images/angles-isosceles-triangle.pdf      | Bin 4735 -> 4735 bytes
 data/handouts/Images/angles-polygon-fan.pdf   | Bin 6708 -> 6708 bytes
 .../Images/angles-polygon-interior.pdf        | Bin 7255 -> 7255 bytes
 data/handouts/Images/angles-polygon.pdf       | Bin 6544 -> 6544 bytes
 data/handouts/Images/angles-sas-proof.pdf     | Bin 6313 -> 6313 bytes
 data/handouts/Images/angles-sas-warning.pdf   | Bin 6026 -> 6026 bytes
 data/handouts/Images/angles-sss-proof.pdf     | Bin 6449 -> 6449 bytes
 .../angles-supplementary-derive-vertical.pdf  | Bin 5424 -> 5424 bytes
 data/handouts/Images/angles-supplementary.pdf | Bin 2681 -> 2681 bytes
 data/handouts/Images/angles-triangle.pdf      | Bin 5581 -> 5581 bytes
 .../angles-vertical-derive-supplementary.pdf  | Bin 4958 -> 4958 bytes
 data/handouts/Images/angles-vertical.pdf      | Bin 2727 -> 2727 bytes
 data/handouts/Images/box.pdf                  | Bin 3401 -> 3401 bytes
 28 files changed, 38 insertions(+), 2 deletions(-)

diff --git a/data/handouts/Images/_Export-Asy.ps1 b/data/handouts/Images/_Export-Asy.ps1
index 7233713e..b8392df6 100644
--- a/data/handouts/Images/_Export-Asy.ps1
+++ b/data/handouts/Images/_Export-Asy.ps1
@@ -5,7 +5,10 @@
 # Per .asy file the pipeline is:
 #   1. Run asy with -noView to render the .asy to a PDF next to the source. asy is run with
 #      -cd <dir> so `import _common;` and other relative imports resolve next to the source file.
-#   2. Convert the PDF to SVG via Inkscape (matches the conversion path used by _Export-Ggb.ps1
+#   2. Patch the PDF's non-deterministic metadata (timestamps and IDs that the bundled Ghostscript
+#      stamps with wall-clock values) so re-rendering an unchanged .asy produces a byte-identical
+#      PDF and stops creating spurious git diffs.
+#   3. Convert the PDF to SVG via Inkscape (matches the conversion path used by _Export-Ggb.ps1
 #      so handout figures coming from either source render identically downstream).
 param(
   # One or more directories, .asy files, or PowerShell wildcards (e.g. 'angles-*.asy'). Default
@@ -62,7 +65,40 @@ function Convert-OneAsy {
     throw "asy failed (exit $($proc.ExitCode))"
   }
 
-  # 2. Convert the PDF to plain SVG via Inkscape. The .com launcher on PATH is the console
+  # 2. Replace the non-deterministic metadata that asy's bundled Ghostscript stamps with wall-clock
+  #    values (/CreationDate, /ModDate, /ID in the trailer plus a second copy of the dates and a
+  #    DocumentID UUID inside the XMP stream). With those derived from the .asy source instead,
+  #    re-rendering an unchanged .asy yields a byte-identical PDF and stops producing spurious git
+  #    diffs. The Windows builds of GS we have access to (asy's bundled 10.x and MiKTeX's 9.25)
+  #    ignore SOURCE_DATE_EPOCH and the -dOmit* flags, so we patch the bytes ourselves.
+  $mtimeUtc = (Get-Item -LiteralPath $AsyPath).LastWriteTimeUtc
+  # Date timestamps for the two formats Ghostscript emits: PDF date string in the trailer /Info,
+  # ISO 8601 in the XMP stream. UTC normalised so the field length doesn't depend on local TZ.
+  $pdfDate = "D:{0:yyyyMMddHHmmss}+00'00'" -f $mtimeUtc
+  $xmpDate = "{0:yyyy-MM-ddTHH:mm:ss}+00:00" -f $mtimeUtc
+  # Identifiers: SHA-256 of the .asy content gives 64 hex chars. First 32 supply the /ID halves
+  # (PDF spec calls for 16-byte values); next 32 fill the DocumentID UUID positions.
+  $hash = (Get-FileHash -LiteralPath $AsyPath -Algorithm SHA256).Hash
+  $idHex = $hash.Substring(0, 32)
+  $uuidHex = $hash.Substring(32, 32)
+  $uuid = '{0}-{1}-{2}-{3}-{4}' -f $uuidHex.Substring(0, 8), $uuidHex.Substring(8, 4), $uuidHex.Substring(12, 4), $uuidHex.Substring(16, 4), $uuidHex.Substring(20, 12)
+  # Read the PDF as Latin1 so each byte round-trips losslessly through a string (PDFs are mostly
+  # ASCII outside of stream contents, and our regexes never match inside binary streams).
+  $pdfBytes = [System.IO.File]::ReadAllBytes($finalPdf)
+  $pdfText = [System.Text.Encoding]::Latin1.GetString($pdfBytes)
+  # Trailer /Info dict.
+  $pdfText = [regex]::Replace($pdfText, "/CreationDate\(D:\d{14}[+\-]\d{2}'\d{2}'\)", "/CreationDate($pdfDate)")
+  $pdfText = [regex]::Replace($pdfText, "/ModDate\(D:\d{14}[+\-]\d{2}'\d{2}'\)", "/ModDate($pdfDate)")
+  $pdfText = [regex]::Replace($pdfText, "/ID \[<[0-9A-Fa-f]{32}><[0-9A-Fa-f]{32}>\]", "/ID [<$idHex><$idHex>]")
+  # XMP metadata stream (uncompressed in asy's output).
+  $pdfText = [regex]::Replace($pdfText, "<xmp:CreateDate>[^<]+</xmp:CreateDate>", "<xmp:CreateDate>$xmpDate</xmp:CreateDate>")
+  $pdfText = [regex]::Replace($pdfText, "<xmp:ModifyDate>[^<]+</xmp:ModifyDate>", "<xmp:ModifyDate>$xmpDate</xmp:ModifyDate>")
+  $pdfText = [regex]::Replace($pdfText, "xapMM:DocumentID='uuid:[0-9a-fA-F-]+'", "xapMM:DocumentID='uuid:$uuid'")
+  # Every replacement above is the same length as the value it replaced, so the PDF's xref byte
+  # offsets stay valid without rebuilding the table.
+  [System.IO.File]::WriteAllBytes($finalPdf, [System.Text.Encoding]::Latin1.GetBytes($pdfText))
+
+  # 3. Convert the PDF to plain SVG via Inkscape. The .com launcher on PATH is the console
   #    launcher that waits for inkscape.exe, so -Wait is enough.
   if (Test-Path -LiteralPath $finalSvg) { Remove-Item -LiteralPath $finalSvg -Force }
   $proc = Start-Process -FilePath $inkscape -ArgumentList @($finalPdf, '--pdf-poppler', '--export-type=svg', '--export-plain-svg', "--export-filename=$finalSvg") -Wait -PassThru
diff --git a/data/handouts/Images/ag-proof.pdf b/data/handouts/Images/ag-proof.pdf
index ee3ffd8abe883a6ddf7716e73eb94c7edc8c97cc..fb200fe8381d94fd296dd893192ada4c4b56558e 100644
GIT binary patch
delta 211
zcmeyS`b~9%H!rV6h>@|CiKUgHnYMw!<Op6pG?B@?@70`*O-x*jTnuzATn$}yjZK^k
zbPb#gTy>ocP29{ZOwC+P9L?1AC(H7wZ9d0$m{G^V$k@aZY@oV<fx0G_zHfetOJYf?
zhKrSvfsvVksR2U8=Dh-U7#&?r+>8y4ot(^EoebSv%^Xb}Ee)Iv+$;<&&5VtVEY0m~
L2&kBROGpL)G3hjv

delta 211
zcmeyS`b~9%H!rVch=HM%iKUg1k+y-+<Op6pG?B@?@6`+}%`FYnk}P#iQY=k$4Gq%_
zbq#<(*TO6{EhX99EG^MAQC)wsET7uub9{#xbu0}GO)S9%sv8)nYjWxP=BKzMmZWO9
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JipjTxWB}=HHTVDk

diff --git a/data/handouts/Images/angles-90-60-30.pdf b/data/handouts/Images/angles-90-60-30.pdf
index 8112d7fc9377bfe67c747e795bf7644f143dee8a..b3439116af503764ce8c84bd39c65a37f67b1ecf 100644
GIT binary patch
delta 204
zcmexk_Qz~Pk|>wCm4S(sfw{JU!Q>oKLuBr9(f4X*hK6Q_78WkLM&>SNx{l@sCc0*p
z#;&?fMh31%t_Ft2W@cvU`jZXC)HXj7JHx02Q~)+h-M~OylS|(>KgA`nBvr%3%E-XT
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HN=pL(>#;Ie

delta 204
zcmexk_Qz~Pk|>v{m63^+v4ysQ(c~OaLuBr9(f4YW=BB3RhDJuZriMm|x`u{nhPnno
zpqp%zl4y{el4fj_YNoC~*-%Vv^CPh{j9R8fCSbGF4Gh#Zx%7SWQ(O{DQZ-zxj0}v-
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diff --git a/data/handouts/Images/angles-Ssa-proof-isosceles.pdf b/data/handouts/Images/angles-Ssa-proof-isosceles.pdf
index 4a85fa4bac925bf00ae953873a33f5a0665bca00..de36d79bffe98d6b89fcf663f45eb1d9e225aef5 100644
GIT binary patch
delta 212
zcmcbmbxUi*W`17t5F;ZiV*@KgBW(kN$p`rL&_sUozgKf~b2BtGur$_nb8&UlwRCed
z)^%|<GtxCNa&fgZH*zvJH8NM%pZt(dZL^u+RYo0iBO_x2uz~6Z2I`tz`o8%oE{P?n
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Kq++tYs5Af)*fh-m

delta 212
zcmcbmbxUi*W`17F5CcOiLklZo18oDN$p`rL&_sUozgJ7Lw6rj_Of=UuNwG-NH8e~!
z)HMJCT}wmDBnyKib8|!URCWEy5BbzKn+aZJ)Uh-$G_(L4sBU1OuF0kEo1fy6SdyyY
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J6_f2nr2(0FHU9tr

diff --git a/data/handouts/Images/angles-Ssa-proof-one-solution.pdf b/data/handouts/Images/angles-Ssa-proof-one-solution.pdf
index 7fb3c88bdfe1fb9913d9586eaf5b7afd28e9d6c7..9cc5912751c01680f3849715271e7fc99e73a831 100644
GIT binary patch
delta 233
zcmdm}wNYzB3qP-Uh>?+%v4NGLk+y-s<ca)xXd-9$->aB8x|tgqI-BXb8k-sF8o3#`
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delta 233
zcmdm}wNYzB3qP-Ah=HM%p@o&Pxwe7P<ca)xXd-9$->W30B%7F<8=32xq*$cs8XBe<
z>KXunu7#y(ikW$mfw56?;$#JWjm_+WHyCv+4Gaw}z{aT?7^rJ<>HFrVxFnXOYPeV#
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diff --git a/data/handouts/Images/angles-Ssa-proof-two-solutions.pdf b/data/handouts/Images/angles-Ssa-proof-two-solutions.pdf
index d98c078ea8f0ebce13e8bff512e8e8d0209a870b..1544b70a440be691aa88ccc0a8c357e5cef066fb 100644
GIT binary patch
delta 210
zcmdmCy2EtCQW0MB5F;ZiV*@KgBW(kN$(uy<&_v#fyjL-Cb}}_`Gjh^3G;p=hHFR<`
z)O9j+G0`<}HZgWKaWil+GIpBmD59}hL+mD_j=7PMu>sgPbpr!+O)h=k{1lhOl2i>B
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delta 209
zcmdmCy2EtCQW0Lu5CcOiLklYt6Kw;d$(uy<&_v#fyjM;(Of#@FNi^3rNwG-NH8e~!
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diff --git a/data/handouts/Images/angles-alternate.pdf b/data/handouts/Images/angles-alternate.pdf
index 67b988609a1d4de9c41b363fff31273bf5a29f58..d8f23d77bb5489a954614e1127d707c20d77c33f 100644
GIT binary patch
delta 210
zcmdlWx<Pb<1RJk;h>?+%v4NGLk+y-sWK}jjG?4_hJt`J1X6BYAh8DVx=H_m?ZidFr
zx|XJ<X1Y$UjuysF#+F8AW=@+O*q<?SnHw1y8$gUQ;FLh(ZVuvPWQ;X1wKR5gG;nb<
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delta 210
zcmdlWx<Pb<1RJkqh=HM%p_!G5k+y-+WK}jjG?4_hJu2pw#uh0_iDtScDHdtEhK6Z|
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diff --git a/data/handouts/Images/angles-asa-proof.pdf b/data/handouts/Images/angles-asa-proof.pdf
index 3d82106d380ff1269f1be225fb32c4f512fd91f0..f0dfa61882bd2f62bce55e1fe1e5bed6d0d4b4cd 100644
GIT binary patch
delta 235
zcmajXF$%&!5I|A1T(B}?YZIerbarNw-2@3_vzbn8Y*PqoD`*PuVec6Pk6@`6@DyG_
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delta 235
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diff --git a/data/handouts/Images/angles-complementary-in-triangle.pdf b/data/handouts/Images/angles-complementary-in-triangle.pdf
index 37380ab744be32a1007b0307dbfbca62688c1267..fd2e21005bca2dbb041ea400f2d0997ffecbc6b3 100644
GIT binary patch
delta 193
zcmeA$>@eIgQ;63*#K_3X*ucurNZY_*@-iVkG?9lw@70`)j7(kKOpSC6Obr}$4K0n#
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delta 193
zcmeA$>@eIgQ;63x#K6$X(9FuzT-(5C@-iVkG?9lw@6{}fj4TsVjLdXRQY_MR4Gq%_
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diff --git a/data/handouts/Images/angles-complementary-parallel-solution.pdf b/data/handouts/Images/angles-complementary-parallel-solution.pdf
index cdcfa052e75706dd36398932d9f3939d734b88ce..8520117c63845b1e8e862087efbe108442be6c8c 100644
GIT binary patch
delta 216
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delta 216
zcmcbwd0%sb0za>1h=HM%p}CcTiMD~!WL<teG?5Jc_i7eqrl!e>iDtScDHdtEhK6Z|
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diff --git a/data/handouts/Images/angles-complementary-parallel-statement.pdf b/data/handouts/Images/angles-complementary-parallel-statement.pdf
index cf46a14aecd70250a9380a246286c9f917bc7968..275b801fcd7fe59ecfd0490234fc446b1f307068 100644
GIT binary patch
delta 235
zcmdm>v_WY@GdHh!h>?+%v4NGLk+y-s<O$q*Xd<V%->aD$xfoiQSi0z%nz~u&8n`){
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delta 235
zcmdm>v_WY@GdHhgh=HM%p}Cczp|*k1<O$q*Xd<V%->X?9S{SBU7@6ssq*$cs8XBe<
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diff --git a/data/handouts/Images/angles-corresponding-alternate-supplementary-connection.pdf b/data/handouts/Images/angles-corresponding-alternate-supplementary-connection.pdf
index 0ba660c3bcdce5d33b4b190d3e7b91d1aaa7d7d7..4cda796ac8bc95f8bce75043251b0064ad455e58 100644
GIT binary patch
delta 216
zcmcbta#>|V5f86<h>?+%v4NGLk+y-s<a!=GG?86A@6{ZQOq~o|oSk)zU7cKXog7^Z
zblptNjCBnR&5Rt4-3*KjO$^laCokYu+x(UH6C;<ok&&?h#K4dI5=h+5!UB&OV~q@*
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delta 216
zcmcbta#>|V5f86rh=HM%p}Cczg|>mw<a!=GG?86A@6{|)6H^UL6U}r@QY_MR4Gq%_
zbq#<(*Er2E&B!3x%rGt4L|uRK0&ca<UwJ<<a#<P}8k$24{KzkX#N8|`@R%{y$;8OQ
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diff --git a/data/handouts/Images/angles-corresponding.pdf b/data/handouts/Images/angles-corresponding.pdf
index e32c8d219fcf0411e1212e306a79cde2a4f4ccb5..7132d827e5d4121216d7f6f0841209efda6e6210 100644
GIT binary patch
delta 209
zcmdlex>0n4Bpa`Jh>?+%v4NGLk+y-sWHmNDG?7HMJt~goCaz{K=BBz%&K4%RCgwnv
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delta 209
zcmdlex>0n4Bpa_~h=HM%p}CcjiMD~!WHmNDG?7HMJt~$)CWaQtiDtScDHdtEhK6Z|
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diff --git a/data/handouts/Images/angles-equilateral.pdf b/data/handouts/Images/angles-equilateral.pdf
index c49b5aa97e5ccb7a71788aa5ec8bab8dfe7ff66d..b8c41c3d5ba51d49c2288fcefafefa0eb826f44c 100644
GIT binary patch
delta 212
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delta 212
zcmca&cExOip(w9qh=HM%p}Cc@p|*k1WIItkG?7Zt_iC1AW+{n@MrOJuDHdtEhK6Z|
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diff --git a/data/handouts/Images/angles-isosceles-right-triangle.pdf b/data/handouts/Images/angles-isosceles-right-triangle.pdf
index 18db95325eb4ea1494b256d4173cd55eb1b91262..d50cb6678a9168d443206672a17d611dc24e4638 100644
GIT binary patch
delta 183
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delta 183
zcmdm`zDs=r4<DDQm65TPk(suE(PS|`Lu76s-+MK)WV0m06eA;DQ$wRfT|>h(LtO(P
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diff --git a/data/handouts/Images/angles-isosceles-triangle.pdf b/data/handouts/Images/angles-isosceles-triangle.pdf
index 67e9be21dda2cfa83966ad2ed235ee9d09ae23e1..8a3b542b4f7edccaa9f6555a2017cba1ca91f406 100644
GIT binary patch
delta 216
zcmeyb@?T}cJ04#15F;ZiV*@KgBW(kN$-jB@&_v95->aE9TbLOeI2!4?nK--XT9}xc
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delta 216
zcmeyb@?T}cJ04!k5CcOiLvt$=Gi?K-$-jB@&_v95->X@snWma2C7S7)q*$cs8XBe<
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diff --git a/data/handouts/Images/angles-polygon-fan.pdf b/data/handouts/Images/angles-polygon-fan.pdf
index 564cd92831724a18ec27b6ada64026d6c1f00776..877c3f323b7f5cdf0c7b40192b1e8b4b864b9014 100644
GIT binary patch
delta 191
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delta 191
zcmdmDvc+UWsR*xSh=HM%p}Cc*v9^KH<R%e4G?Bd`?^P0wEfOs)jm&gSQY_MR4Gq%_
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diff --git a/data/handouts/Images/angles-polygon-interior.pdf b/data/handouts/Images/angles-polygon-interior.pdf
index b5580fa3892a673231ee28c3bc996c555b8d6878..efcc06a6fa906e2f59f5357510b896174ba900bb 100644
GIT binary patch
delta 193
zcmca^aou7=pBS%sh>?+%v4NGLk+y-s<k@0+Xd>6d-m4j!Sem-JI=ksQ8kt$>8kiVc
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delta 193
zcmca^aou7=pBS%Yh=HM%p@o%!p|*k1<k@0+Xd>6d-m4{An53Dc7@6ssq*$cs8XBe<
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diff --git a/data/handouts/Images/angles-polygon.pdf b/data/handouts/Images/angles-polygon.pdf
index 7dc7ff90de5881d0d1227a9d3b24107dced47e56..2fac12f6c9dd0606516b23777c0d392759010187 100644
GIT binary patch
delta 216
zcmbPWJi&OwO<`X15F;ZiV*@KgBW(kN$<KuK&_onP-m957nYo!+m^tg38Jk+_I+?ke
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LQdM>JcjE#85J5FX

delta 216
zcmbPWJi&OwO<`Wk5CcOiLklYd3vC0V$<KuK&_onP-m4`hn<tqiCYtG*q*$cs8XBe<
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diff --git a/data/handouts/Images/angles-sas-proof.pdf b/data/handouts/Images/angles-sas-proof.pdf
index 6e7b64f0c2e91f0d17fbadcc7602bcfb143a3e3e..214ed20523f9e3926001eaeba574de6e7f9e60d8 100644
GIT binary patch
delta 191
zcmZ2!xYBULQ6WA<;}An*D`OKYBXey7gUOeLbkT+Qgx{+en423InVGxk8aTO`>zbOo
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delta 191
zcmZ2!xYBULQ6WA9%Mb%YD?<w_LsM-7qsf<rbkT+Qgx{+q86=upSQwe<nxt5y=^7fQ
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diff --git a/data/handouts/Images/angles-sas-warning.pdf b/data/handouts/Images/angles-sas-warning.pdf
index 74e0e29c58c55354a7459e609c93fe110b324cc4..867753ba61b026a861ab5fb047091236b05354d7 100644
GIT binary patch
delta 193
zcmeCu@6z9}SdiB|#K_3X*ucurNZY_*@&-XYG?CYW@6{}woXy;v&CPTTOkB-$9gSTr
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delta 193
zcmeCu@6z9}SdiB;#K6$X(89{dSlhs8@&-XYG?CYW@70n_&616ijm&jTQY_MR4Gq%_
zbq#<(*UZSk(9qN(%`!R7L|uRKMFF+VYQkq3xh#Rg77zpfibx=FH_MCiF*!LJnmbt-
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diff --git a/data/handouts/Images/angles-sss-proof.pdf b/data/handouts/Images/angles-sss-proof.pdf
index 5d7be237c92543be138ac31be6614ed2705091a1..c7d5a55e8a8bdccdc91ce303b54229d833998a35 100644
GIT binary patch
delta 235
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delta 235
zcmdmJw9#mTpD?dwh=HM%p@o&Hk+y-+<Y-|%G?8h-@70pcl1xo363ul@QY_MR4Gq%_
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diff --git a/data/handouts/Images/angles-supplementary-derive-vertical.pdf b/data/handouts/Images/angles-supplementary-derive-vertical.pdf
index 7cbbe0265a27dee4e5876e3ffc3b1655f5eea46e..89a006cb37e56fae64a3aa461cc3857754ddbaee 100644
GIT binary patch
delta 215
zcmdm>wLxoxAV05ph>?+%v4NGLk+y-sWI294G?7UD_iC<YF2>HThOWBCE@m#eX3l0#
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delta 215
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diff --git a/data/handouts/Images/angles-supplementary.pdf b/data/handouts/Images/angles-supplementary.pdf
index a9620262b8038b5a5333c11dbdf6665417318f2d..64cebb3c2b4c5ad878e3cd85e0b2f0700a43c89e 100644
GIT binary patch
delta 212
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delta 212
zcmew<@>68PLsnkP5CcOiLrW_I6Kw;d$?sV8&_p!Z_NXPNq$Hb~C7SD+q*$cs8XBe<
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diff --git a/data/handouts/Images/angles-triangle.pdf b/data/handouts/Images/angles-triangle.pdf
index d15e7088a9de4ee2a31068408829f34be31625df..eed60c5ff992f19662d83a0672600dfa7c24ac36 100644
GIT binary patch
delta 235
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delta 235
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diff --git a/data/handouts/Images/angles-vertical-derive-supplementary.pdf b/data/handouts/Images/angles-vertical-derive-supplementary.pdf
index 6c25853564c9d4ec0fb16bc477e80819613ceedf..1511c41e882980187439c61ef48986384c272ae1 100644
GIT binary patch
delta 216
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delta 216
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diff --git a/data/handouts/Images/angles-vertical.pdf b/data/handouts/Images/angles-vertical.pdf
index 56f468df799a0fd8d3d955c782c6d79c76d1eb13..3b440135f75ee7c48eb144e681025ebe8c4baca8 100644
GIT binary patch
delta 214
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delta 214
zcmZ23x?FSv9~+;6Wr%^Hm7ygNX&V?#mSNLH7Yb+Fqn2WpoML2QWUgzHVv(k6XqaZG
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diff --git a/data/handouts/Images/box.pdf b/data/handouts/Images/box.pdf
index 5e386a62c65bd8e654b152652ba398b80032d534..05dd426b2994a5cd07393a4408dbf3ef7af4a8a2 100644
GIT binary patch
delta 204
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GD-8f;A~CZ7

delta 204
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