sketching a sinewave

Hi gang.

I need to sketch a sinewave, but my attempts so far have been feeble.
Anyone have any good suggestions?

Thanks

Tom


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I’m not sure if there is a better way of doing this, however this is how I do it.

Draw a box, 50mm x 100mm (only the proportions are important).

Select the Path tool, click and hold on the top left corner of the box, holding the shift key drag to the right while watching the Geometry inspector, drag until ∆X = 25 (or half the width of your box).

Then click on the bottom right corner of the box and repeat the drag above.

Delete the box and you should have 180° of a Sinewave. Duplicate and scale to suit.


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Thanks for the tip Rob :slight_smile:

I’ll give this a go this afternoon.

Tom
On 23 Sep 2008, at 23:54, Rob Carruthers wrote:

I’m not sure if there is a better way of doing this, however this is
how I do it.

Draw a box, 50mm x 100mm (only the proportions are important).

Select the Path tool, click and hold on the top left corner of the
box, holding the shift key drag to the right while watching the
Geometry inspector, drag until ∆X = 25 (or half the width of your
box).

Then click on the bottom right corner of the box and repeat the drag
above.

Delete the box and you should have 180° of a Sinewave. Duplicate and
scale to suit.


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Hmm- it kind of works- but isn’t quite right (funnily enough, I’m an
engineer/ CAD technician by profession- working in the electronics
trade at the moment, spending all day looking at the damn things! :wink: )

I’ll have a further go until I get somewhere at it.

Tom

On 28 Sep 2008, at 11:34, Tom Fenn wrote:

Thanks for the tip Rob :slight_smile:

I’ll give this a go this afternoon.

Tom
On 23 Sep 2008, at 23:54, Rob Carruthers wrote:

I’m not sure if there is a better way of doing this, however this
is how I do it.

Draw a box, 50mm x 100mm (only the proportions are important).

Select the Path tool, click and hold on the top left corner of the
box, holding the shift key drag to the right while watching the
Geometry inspector, drag until ∆X = 25 (or half the width of your
box).

Then click on the bottom right corner of the box and repeat the
drag above.

Delete the box and you should have 180° of a Sinewave. Duplicate
and scale to suit.


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Hi Tom,

simply draw your sine wave in … EasyDraw, copy it, paste it in
Intaglio :wink:

your sine wave can be edited in Intaglio !

you may use the demo version of EasyDraw, limited to 20 graphics pro
file

jacques

Le 23 sept. 08 à 23:59, Tom Fenn a écrit :

Hi gang.

I need to sketch a sinewave, but my attempts so far have been feeble.
Anyone have any good suggestions?

Thanks

Tom


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yes, easydraw. (methinks for a bit), I had Easydraw (EZdraw?). EZdraw
was one of the better ‘CAD’-like drawing apps, but the end of the day,
I preferred Intaglio, so those drawing apps got binned, but thanks for
the tip. I’m sure I’ve used up all my brownie points (20 goes)- but I
suppose I could always open up another account and re-download it again?

Again, thanks for the tip :slight_smile:

Tom
On 28 Sep 2008, at 13:59, Jacques Villars wrote:

Hi Tom,

simply draw your sine wave in … EasyDraw, copy it, paste it in
Intaglio :wink:

your sine wave can be edited in Intaglio !

you may use the demo version of EasyDraw, limited to 20 graphics pro
file

jacques

Le 23 sept. 08 à 23:59, Tom Fenn a écrit :

Hi gang.

I need to sketch a sinewave, but my attempts so far have been feeble.
Anyone have any good suggestions?

Thanks

Tom


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On 23 Sep 2008, 9:59 pm, ttrw wrote:

Hi gang.

I need to sketch a sinewave, but my attempts so far have been feeble.
Anyone have any good suggestions?

Thanks

Tom


Tom

I was not able to get Rob’s method to work, so I brute-force drew the sine wave from the its definition, using Excel to calculate the Sine values.

Set Layout/Measurements to 1 mm = 1 mm; set Layout/Set Grid to 100 mm & 10 divisions.

Draw a box 100 mm high x 90 mm wide (the 90mm represents 90 degrees of the sine)(‘snap to grid’ ON).

Draw vertical lines every 10 mm (10 degrees).

Draw horizontal lines corresponding to the sine Y values below (multiply by 100)(‘snap to grid’ OFF).

(draw a vertical line to the sine value using the Line tool and Geometry Inspector to place each horizontal sine value line)

Use the Bezier Curve Polygon Tool to connect the angle and value line intersections from 0 degrees to 90 degrees.

Duplicate the 90 degree curve, flip the copy horizontally & combine them (Objects/Paths/Combine), for a 180 degree curve.

Duplicate the 180 degree curve, flip the copy vertically & combine them, for 360 degrees.

Delete the construction box & lines.

Adjust the frequency (X axis) by selecting and dragging the center blue handle.

Adjust the amplitude (Y axis) by dragging the center top & bottom blue handles up/down by the same amount (alas, the positive and negative halves adjust separately).

Note that Excel computes trig functions using angles in radians; 360 degrees = 2 pi = 6.283192 radians.

SIN=(2PI()/360(angle in degrees)) (EXCEL)

Sin 0 (0 rad)= 0

Sin 10 (0.175 rad)= 0.174

Sin 20 (0.349 rad)= 0.342

Sin 30 (0.524 rad)= 0.500

Sin 40 (0.698 rad)= 0.643

Sin 50 (0.973 rad)= 0.766

Sin 60 (1.047 rad)= 0.866

Sin 70 (1.222 rad)= 0.940

Sin 80 (1.396 rad)= 0.985

Sin 90 (1.571 rad)= 1.000

Its more work, but the sine wave is exact. Hope this helps.

Mason


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wow! I see what you mean now. It seems EazyDraw (yes- I was wrong :slight_smile: )
has jumped lightyears ahead!

(Intaglio is still the fastest illustration app I know of, to use).

On 28 Sep 2008, at 22:34, Tom Fenn wrote:

yes, easydraw. (methinks for a bit), I had Easydraw (EZdraw?).
EZdraw was one of the better ‘CAD’-like drawing apps, but the end of
the day, I preferred Intaglio, so those drawing apps got binned, but
thanks for the tip. I’m sure I’ve used up all my brownie points (20
goes)- but I suppose I could always open up another account and re-
download it again?

Again, thanks for the tip :slight_smile:

Tom
On 28 Sep 2008, at 13:59, Jacques Villars wrote:

Hi Tom,

simply draw your sine wave in … EasyDraw, copy it, paste it in
Intaglio :wink:

your sine wave can be edited in Intaglio !

you may use the demo version of EasyDraw, limited to 20 graphics
pro file

jacques

Le 23 sept. 08 à 23:59, Tom Fenn a écrit :

Hi gang.

I need to sketch a sinewave, but my attempts so far have been
feeble.
Anyone have any good suggestions?

Thanks

Tom


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Man! That’s wonderful!! Thanks :slight_smile:

I’m just getting into Excel properly at the moment. I’m very old-
school you see, preferring to write everything down (!), but my
current job, I have no choice but to use Excel.

I’ve been looking at ‘Tables’ too, (OSX native), but Tables doesn’t
really deliver in the graphics department (I need to do some ‘radar
plots’- absolutely impossible in Tables or Numbers.

On 28 Sep 2008, at 23:05, Ernest Friar wrote:

On 23 Sep 2008, 9:59 pm, ttrw wrote:

Hi gang.

I need to sketch a sinewave, but my attempts so far have been feeble.
Anyone have any good suggestions?

Thanks

Tom


Tom

I was not able to get Rob’s method to work, so I brute-force drew
the sine wave from the its definition, using Excel to calculate the
Sine values.

Set Layout/Measurements to 1 mm = 1 mm; set Layout/Set Grid to 100
mm & 10 divisions.

Draw a box 100 mm high x 90 mm wide (the 90mm represents 90 degrees
of the sine)(‘snap to grid’ ON).

Draw vertical lines every 10 mm (10 degrees).

Draw horizontal lines corresponding to the sine Y values below
(multiply by 100)(‘snap to grid’ OFF).

(draw a vertical line to the sine value using the Line tool and
Geometry Inspector to place each horizontal sine value line)

Use the Bezier Curve Polygon Tool to connect the angle and value
line intersections from 0 degrees to 90 degrees.

Duplicate the 90 degree curve, flip the copy horizontally & combine
them (Objects/Paths/Combine), for a 180 degree curve.

Duplicate the 180 degree curve, flip the copy vertically & combine
them, for 360 degrees.

Delete the construction box & lines.

Adjust the frequency (X axis) by selecting and dragging the center
blue handle.

Adjust the amplitude (Y axis) by dragging the center top & bottom
blue handles up/down by the same amount (alas, the positive and
negative halves adjust separately).

Note that Excel computes trig functions using angles in radians; 360
degrees = 2 pi = 6.283192 radians.

SIN=(2PI()/360(angle in degrees)) (EXCEL)

Sin 0 (0 rad)= 0

Sin 10 (0.175 rad)= 0.174

Sin 20 (0.349 rad)= 0.342

Sin 30 (0.524 rad)= 0.500

Sin 40 (0.698 rad)= 0.643

Sin 50 (0.973 rad)= 0.766

Sin 60 (1.047 rad)= 0.866

Sin 70 (1.222 rad)= 0.940

Sin 80 (1.396 rad)= 0.985

Sin 90 (1.571 rad)= 1.000

Its more work, but the sine wave is exact. Hope this helps.

Mason


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Hmm- it kind of works- but isn’t quite right

Sorry Tom, I see what you mean, it looks more accurate if the control points are dragged 1/3 of the width of the box instead of half.

You can also use Grapher (in your Utilities folder) to make the Sine wave (or what ever curve you like), then copy & paste.


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Ah that’s good to know!

Thanks :slight_smile:

On 29 Sep 2008, at 00:36, Rob Carruthers wrote:

You can also use Grapher (in your Utilities folder) to make the Sine
wave (or what ever curve you like), then copy & paste.


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you may open as many files you want, and save them, but each file may
contain max. only 30 objects with the currrent demo version (with my
ancient version only 20, but I just have installed the new one)

on using I prefer Intaglio, which I find very ergonomic, but many
things are very nice too in EasyDraw…

jacques

Le 28 sept. 08 à 23:34, Tom Fenn a écrit :

I’m sure I’ve used up all my brownie points (20 goes)- but I
suppose I could always open up another account and re-download it
again?


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Do you know RagTime, whitch is not a software to draw or write or
calculate or making layout, but with which you can make all those
things at the same time on the same page or in the same document ?
for very simple drawings it is largely suitable, and for layouts,
DTP, complexe calculations, texts etc. very powerfull ; but not
always very simple to use I must say…

jacques

Le 29 sept. 08 à 11:13, Tom Fenn a écrit :

Ah that’s good to know!


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Here’s an AppleScript that creates something reasonable:

tell application “Intaglio”

make new path with properties {drawing mode:stroke, segments:{move to, {0.0, 107.879501342773}, curve to, {15.0, 81.759506225586}, {30.0, 55.63850402832}, {45.0, 37.168502807617}, curve to, {60.0, 18.698501586914}, {75.0, 7.879501342773}, {90.0, 7.879501342773}, curve to, {105.0, 7.879501342773}, {120.0, 18.698501586914}, {135.0, 37.168502807617}, curve to, {150.0, 55.63850402832}, {165.0, 81.759506225586}, {180.0, 107.879501342773}, curve to, {195.0, 133.999496459961}, {210.0, 160.120498657227}, {225.0, 178.59049987793}, curve to, {240.0, 197.060501098633}, {255.0, 207.879501342773}, {270.0, 207.879501342773}, curve to, {285.0, 207.879501342773}, {300.0, 197.060501098633}, {315.0, 178.59049987793}, curve to, {330.0, 160.120498657227}, {345.0, 133.999496459961}, {360.0, 107.879501342773}}}

end tell


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Wow cheers Nick!

This has been an education :slight_smile:

Actually the maths isn’t that hard to figure out. Maths used to bug me
until someone explained it to me in visual sense.

PhD here I come! :slight_smile:

On 30 Sep 2008, at 19:53, “Nick” email@hidden wrote:

Here’s an AppleScript that creates something reasonable:

tell application “Intaglio”

make new path with properties {drawing mode:stroke, segments:
{move to, {0.0, 107.879501342773}, curve to, {15.0,
81.759506225586}, {30.0, 55.63850402832}, {45.0, 37.168502807617},
curve to, {60.0, 18.698501586914}, {75.0, 7.879501342773}, {90.0,
7.879501342773}, curve to, {105.0, 7.879501342773}, {120.0,
18.698501586914}, {135.0, 37.168502807617}, curve to, {150.0,
55.63850402832}, {165.0, 81.759506225586}, {180.0,
107.879501342773}, curve to, {195.0, 133.999496459961}, {210.0,
160.120498657227}, {225.0, 178.59049987793}, curve to, {240.0,
197.060501098633}, {255.0, 207.879501342773}, {270.0,
207.879501342773}, curve to, {285.0, 207.879501342773}, {300.0,
197.060501098633}, {315.0, 178.59049987793}, curve to, {330.0,
160.120498657227}, {345.0, 133.999496459961}, {360.0,
107.879501342773}}}
end tell


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Out of curiosity, how did you get or arrive at those figures?

On 30 Sep 2008, at 20:09, Tom Fenn email@hidden wrote:

Wow cheers Nick!

This has been an education :slight_smile:

Actually the maths isn’t that hard to figure out. Maths used to bug
me until someone explained it to me in visual sense.

PhD here I come! :slight_smile:

On 30 Sep 2008, at 19:53, “Nick” email@hidden wrote:

Here’s an AppleScript that creates something reasonable:

tell application “Intaglio”

make new path with properties {drawing mode:stroke, segments:
{move to, {0.0, 107.879501342773}, curve to, {15.0,
81.759506225586}, {30.0, 55.63850402832}, {45.0, 37.168502807617},
curve to, {60.0, 18.698501586914}, {75.0, 7.879501342773}, {90.0,
7.879501342773}, curve to, {105.0, 7.879501342773}, {120.0,
18.698501586914}, {135.0, 37.168502807617}, curve to, {150.0,
55.63850402832}, {165.0, 81.759506225586}, {180.0,
107.879501342773}, curve to, {195.0, 133.999496459961}, {210.0,
160.120498657227}, {225.0, 178.59049987793}, curve to, {240.0,
197.060501098633}, {255.0, 207.879501342773}, {270.0,
207.879501342773}, curve to, {285.0, 207.879501342773}, {300.0,
197.060501098633}, {315.0, 178.59049987793}, curve to, {330.0,
160.120498657227}, {345.0, 133.999496459961}, {360.0,
107.879501342773}}}
end tell


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A bit of Googling led to a paper here…


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