GSP4QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$` a b c d e f g h i j k l m n o p q ,#GSP4_M_0594/Aug 28 20060#H'''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':'{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-CircumcircleArial Geneva  nQ\aAC7'~'@1@1nQ\aABrcumcenternQ\aAAe (By Diagonal)    nQ\aAE nQ\aAF/ nQ\aAk/ nQ\aAj -  nQ\aAD  h/#Joshua Wood's Circumcircle. Place the three vertices of a triangle and it gives you the circumcircle. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-IncircleArial Geneva  nQ\aACpLnQ\aAB$YMaMnQ\aAA    ,nQ\aAl,nQ\aAk - nQ\aAD/  nQ\aAj -  nQ\aAE  \/#Joshua Wood's Incircle. Place the three vertices of a triangle and it gives the incircle.r{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-MedialTriangleArial Geneva  nQ\aACdniwsuomnQ\aAB@ͱͱnQ\aAAication R62&-    nQ\aAF nQ\aAE nQ\aAD     j/#Joshua Wood's Medial Triangle. Place the three vertices of a triangle and it gives the medial triangle.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-Ortho-MidsegmentTriArial Geneva  nQ\aACEDICnQ\aABication R62&-nQ\aAA   / nQ\aAj/ nQ\aAk - nQ\aAD        nQ\aAF  nQ\aAG  nQ\aAE     /#Joshua Wood's Orthocenter and Midsegment Triangle. Place the three vertices and it gives the orthocenter and the midsegment triangle. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-OrthicTriangleArial Geneva  nQ\aAC( nQ\aAB*nQ\aAAI'   ?  ?  ?  / nQ\aAl -  nQ\aAF/ nQ\aAk -  nQ\aAE/  nQ\aAj -  nQ\aAD      ^/#Joshua Wood's Orthic Triangle. Place the three vertices and it produces the orthic triangle.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-NinePointCircleArial Geneva  nQ\aACnQ\aABnQ\aAAeccaecca    nQ\aAK nQ\aAL nQ\aAJ?  ?  ?  /  nQ\aAn -  nQ\aAMQ C Q C /  nQ\aAm -  nQ\aAI/ nQ\aAk/  nQ\aAl -  nQ\aAH/ nQ\aAj - nQ\aAD  nQ\aAG  nQ\aAF  nQ\aAEr/#Joshua Wood's Nine Point Circle. Place three vertices and it makes the nine point circle (and the nine points). {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-TrisectSegmentArial Geneva  nQ\aABnQ\aAA / nQ\aAj/ nQ\aAk  - nQ\aAC  - nQ\aAD   -  nQ\aAE   -  nQ\aAF/  nQ\aAl - nQ\aAG  nQ\aAH /#Joshua Wood's Trisection of a Segment. Place two vertices and this trisects the line segment between them. This construction is based off a 1,2root2, 3 triangle.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-EquilateralArial Geneva  nQ\aAB~@nQ\aAA    - nQ\aAC   /#Joshua Wood's Equilateral Triangle. Place two vertices and this gives and equilateral triangle with the placed segment one side.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-SquareArial Geneva  nQ\aABf@pq@nQ\aAA / nQ\aAj/ nQ\aAk   - nQ\aAC - nQ\aAD      ^/#Joshua Wood's Square. Place two vertices and this gives a square with the segment as a side.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-GoldenRatioArial Geneva  nQ\aABnQ\aAA / nQ\aAj  - nQ\aAC  - nQ\aAD - nQ\aAE   -  nQ\aAF    nQ\aAG  - nQ\aAH /#Joshua Wood's Golden Ratio. Place two points down and this gives a segment with a point in the middle such that the two segments have lengths in proportion to the golden ratio.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ILWood-PentagonRadiusArial Geneva  nQ\aAD[1]xP@nQ\aAB[1] / nQ\aAj nQ\aAc[1] - nQ\aAA  - nQ\aAB - nQ\aAC?    -  nQ\aAD    nQ\aAE  nQ\aAF/ nQ\aAk   - nQ\aAG   nQ\aAc[2] - nQ\aAH     ?    - nQ\aAI - nQ\aAJ    nQ\aAc[3] - "!nQ\aAK- "!nQ\aAL $ $?  $ $ - '(nQ\aAM - '(nQ\aAN ) )$ $ ),nQ\aAc[4] - .-nQ\aAO- .-nQ\aAP )0 0?  )0 0) - 34nQ\aAQ - 34nQ\aAR 06 6 60 - 9-nQ\aAS- 9-nQ\aAT ; ;6?  ;6 ;6 - >?nQ\aAU - >?nQ\aAV ;@ @ @; - D-nQ\aAW- D-nQ\aAX @F F F /#Joshua Wood's Pentagon via Radius. Drop one point as the center of a regular pentagon and drop the second point for a radius.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$OLWood-PentagonBaseArial Geneva  nQ\aABnQ\aAA  nQ\aAC/ nQ\aAj  - nQ\aAD  - nQ\aAE - nQ\aAF   -  nQ\aAG/  nQ\aAk -  nQ\aAH   -  nQ\aAI -  nQ\aAJ?     - nQ\aAK   nQ\aAL   nQ\aAM/ nQ\aAl   - nQ\aAN  nQ\aAc[1] - nQ\aAO  / nQ\aAm nQ\aAc[2] -  !nQ\aAP "?  " - $nQ\aAQ % %  - '(nQ\aAR- '(nQ\aAS %) ) )?  ) - .-nQ\aAT - .-nQ\aAU /% /) - 2'nQ\aAV- 2'nQ\aAW 4% 4/ % % /3?  4/ 4/ - :;nQ\aAX <% <4 <4 - ?'nQ\aAY- ?'nQ\aAZ A< %A?  <A A< - DEnQ\aAA[1] - DEnQ\aAB[1] GA G% GA - J'nQ\aAC[1]- J'nQ\aAD[1] GL L L% d/#Joshua Wood's Pentagon by side. Place one side of a pentagon and this produces a regular pentagon. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$>LWood-HexagonArial Geneva  nQ\aABM5nQ\aAAMJ  nQ\aAC/ nQ\aAj  - nQ\aAD       -  nQ\aAE  ?    - nQ\aAF - nQ\aAG    -  nQ\aAH-  nQ\aAI  ?    - nQ\aAJ - nQ\aAK    - # nQ\aAL- # nQ\aAM % %?  % % - ()nQ\aAN - ()nQ\aAO *% * *% - . nQ\aAP- . nQ\aAQ *0 0?  *0 0* - 34nQ\aAR - 34nQ\aAS 06 6 60 - 9 nQ\aAT- 9 nQ\aAU 6; ; ; </#Joshua Wood's Hexagon. Drop one side of a regular hexagon. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$iLWood-OctagonArial Geneva  nQ\aAB@x%nQ\aAA+,  nQ\aAC/ nQ\aAj  - nQ\aAD  - nQ\aAE   -  nQ\aAF/  nQ\aAk   -  nQ\aAG   -  nQ\aAH   nQ\aAI   nQ\aAc[1] - nQ\aAJ/ nQ\aAl nQ\aAc[2] - nQ\aAK ?   - nQ\aAL       nQ\aAc[3]- #"nQ\aAM $ $?  $ $ - '(nQ\aAN - '(nQ\aAO )$ ) )$ - -"nQ\aAP- -"nQ\aAQ /) /?  /) /) - 23nQ\aAR - 23nQ\aAS 4/ 4 4/ - "8nQ\aAT- "8nQ\aAU 94 9?  49 94 - =>nQ\aAV - =>nQ\aAW @9 @ @9 - C"nQ\aAX- C"nQ\aAY E@ E?  E@ E@ - HInQ\aAZ - HInQ\aAA[1] JE J JE - N"nQ\aAB[1]- N"nQ\aAC[1] JP P?  JP PJ - STnQ\aAD[1] - STnQ\aAE[1] VP V VP - Y"nQ\aAF[1]- Y"nQ\aAG[1] V[ [?  V[ [V - ^_nQ\aAH[1] - ^_nQ\aAI[1] a[ a a[ - d"nQ\aAJ[1]- d"nQ\aAK[1] af f f B/#Joshua Wood's Octagon. Place one side of a regular octagon down.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LLWood-HexagonRadiusArial Geneva  nQ\aAM[1]nQ\aAN[1] ?   nQ\aAA  - nQ\aAB - nQ\aAC/ nQ\aAj   nQ\aAc[1] -  nQ\aAD   nQ\aAc[2] - nQ\aAE  nQ\aAc[3]  nQ\aAc[4] - nQ\aAF    ?   - nQ\aAG - nQ\aAH    - nQ\aAI- nQ\aAJ    ?    - #nQ\aAK - #nQ\aAL $  $ $  - (nQ\aAM- (nQ\aAN *$ *?  *$ - -nQ\aAO - -nQ\aAP . *. .* - 2nQ\aAQ- 2nQ\aAR 4. 4?  4. - 7nQ\aAS - 7nQ\aAT 84 - :nQ\aAU- :nQ\aAV?  8< - =nQ\aAW - =nQ\aAX ?< - @nQ\aAY- @nQ\aAZ 48 8 < <> > <? ? B? B B H/#Joshua Wood's Hexagon by Radius. Place a radius for a regular hexagon.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$cLWood-OctagonRadiusArial Geneva  nQ\aABnQ\aAAxp ?    - nQ\aAC - nQ\aAD  - nQ\aAE - nQ\aAF/ nQ\aAj   -  nQ\aAG     nQ\aAc[1] - nQ\aAH  nQ\aAI   nQ\aAc[2]  nQ\aAc[3]- nQ\aAJ    ?   - nQ\aAK - nQ\aAL    - "nQ\aAM- "nQ\aAN $ $?  $ - 'nQ\aAO - 'nQ\aAP ($ ( ($ - ,nQ\aAQ- ,nQ\aAR .( .?  .( - 1nQ\aAS - 1nQ\aAT .2 2 2. - 6nQ\aAU- 6nQ\aAV 82 8?  82 - ;nQ\aAW - ;nQ\aAX <8 < <8 - @nQ\aAY- @nQ\aAZ B< B?  B< - EnQ\aAA[1] - EnQ\aAB[1] FB F FB - JnQ\aAC[1]- JnQ\aAD[1] LF L?  FL - OnQ\aAE[1] - OnQ\aAF[1] LQ Q QL - TnQ\aAG[1]- TnQ\aAH[1] VQ V?  QV - YnQ\aAI[1] - YnQ\aAJ[1] V[ [ [V - ^nQ\aAK[1]- ^nQ\aAL[1] `[ ` ` J/#Joshua Wood's Octagon via Radius. Place the radius of a regular octagon.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$SLWood-PentagonShortRadiusArial Geneva  nQ\aAB`e@y@nQ\aAA`f@{@ ?    - nQ\aAC - nQ\aAD  - nQ\aAE - nQ\aAF/ nQ\aAj  nQ\aAc[1] -  nQ\aAG/  nQ\aAk -  nQ\aAH   - nQ\aAI - nQ\aAJ?    nQ\aAc[2] - nQ\aAK   nQ\aAL   nQ\aAM/ nQ\aAl   - nQ\aAN   nQ\aAc[3] - nQ\aAO   nQ\aAc[4]/ nQ\aAm - "!nQ\aAP?  # - $ nQ\aAQ % %  %?  % - *)nQ\aAR - *)nQ\aAS  + + + - 0(nQ\aAT- 0(nQ\aAU 2+ 2?  2+ - 5)nQ\aAV - 5)nQ\aAW 62 6 62 - :(nQ\aAX- :(nQ\aAY <6 <?  <6 - ?)nQ\aAZ - ?)nQ\aAA[1] @< @ @< - D(nQ\aAB[1]- D(nQ\aAC[1] F@ F?  @F - I)nQ\aAD[1] - I)nQ\aAE[1] KF K KF - N(nQ\aAF[1]- N(nQ\aAG[1] KP P P% X/#Joshua Wood's Pentagon via short radius. Place the short radius of a regular pentagon. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$SLWood-HexagonShortRadiusArial Geneva  nQ\aABnQ\aAA@ ?    - nQ\aAC - nQ\aAD  - nQ\aAE - nQ\aAF  nQ\aAc[1]/  nQ\aAj -  nQ\aAG/  nQ\aAk    nQ\aAc[2] - nQ\aAH/ nQ\aAl   nQ\aAc[3] - nQ\aAI/ nQ\aAm   nQ\aAc[4] - nQ\aAJ  - nQ\aAK    ?   -  nQ\aAL -  nQ\aAM  " " " - &nQ\aAN- &nQ\aAO (" (?  (" - +nQ\aAP - +nQ\aAQ ,( , ,( - 0nQ\aAR- 0nQ\aAS 2 2,?  ,2 - 5nQ\aAT - 5nQ\aAU 27 7 72 - :nQ\aAV- :nQ\aAW 7< <?  <7 - ?nQ\aAX - ?nQ\aAY @< @ @< - DnQ\aAZ- DnQ\aAA[1] F@ F?  F@ - InQ\aAB[1] - InQ\aAC[1] JF J JF - NnQ\aAD[1]- NnQ\aAE[1] JP P P V/#Joshua Wood's Hexagon by Short Radius. Place the short radius of a regular hexagon.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$gLWood-OctagonShortRadiusArial Geneva  nQ\aAB u8{nQ\aAA ur ?    - nQ\aAC - nQ\aAD  - nQ\aAE - nQ\aAF/ nQ\aAj/  nQ\aAk  nQ\aAc[1] -  nQ\aAG -  nQ\aAH  -  nQ\aAI  nQ\aAJ  nQ\aAc[2] - nQ\aAK/ nQ\aAl  nQ\aAc[3] - nQ\aAL  -  nQ\aAM    ?   - ! nQ\aAN - ! nQ\aAO # # # - &nQ\aAP- &nQ\aAQ #( (?  (# - + nQ\aAR - + nQ\aAS ,( , ,( - 0nQ\aAT- 0nQ\aAU 2, 2?  ,2 - 5 nQ\aAV - 5 nQ\aAW 72 7 72 - :nQ\aAX- :nQ\aAY <7 <?  <7 - ? nQ\aAZ - ? nQ\aAA[1] @< @ @< - DnQ\aAB[1]- DnQ\aAC[1] F@ F?  F@ - I nQ\aAD[1] - I nQ\aAE[1] JF J JF - NnQ\aAF[1]- NnQ\aAG[1] PJ P?  PJ - S nQ\aAH[1] - S nQ\aAI[1] TP T TP - XnQ\aAJ[1]- XnQ\aAK[1] TZ Z?  TZ - ] nQ\aAL[1] - ] nQ\aAM[1] _Z _ _Z - bnQ\aAN[1]- bnQ\aAO[1] _d d d X/#Joshua Wood's Octagon on a short radius. Place the short radius of a regular octagon.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-CentroidArial Geneva  nQ\aACnQ\aABnQ\aAA    nQ\aAD nQ\aAE   -  "CentroidR/#Joshua Wood's Centroid. Place three vertices of a triangle and get the centroid.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-OrthocenterArial Geneva  nQ\aACnQ\aABnQ\aAA   ?  / nQ\aAj?  /  nQ\aAk -  $ OrthocenterJ/#Joshua Wood's Orthocenter. Place three vertices and get the orthocenter.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-CircumcenterArial Geneva  nQ\aACnQ\aABnQ\aAAH?    nQ\aAD/ nQ\aAj nQ\aAE/  nQ\aAk -  & CircumcentereL/#Joshua Wood's Circumcenter. Place three vertices and get the circumcenter.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LWood-IncenterArial Geneva  nQ\aACpt@nQ\aABnQ\aAA   ,nQ\aAj,nQ\aAk - "IncenterD/#Joshua Wood's Incenter. Place three vertices and get the incenter.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LWood-EulerLineArial Geneva  nQ\aAC@nQ\aABnQ\aAA    nQ\aAD nQ\aAE   -  "Centroid?  ?  /  nQ\aAj/  nQ\aAk - $ Orthocenter nQ\aAF/ nQ\aAl/ nQ\aAm - & Circumcenterv,nQ\aAn,nQ\aAo - "Incentert d/#Joshua Wood's Euler Line. Place three vertices and it gives 4 triangle centers and the Euler Line.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$"LWood-Angle-SegmentArial Geneva  nQ\aAI[2] ExtTanLnQ\aAG[2]О* nQ\aAF[2]3