![\"Circle-trig6.svg\"](\"https:\/\/commons.wikimedia.org\/wiki\/File:Circle-trig6.svg#\/media\/File:Circle-trig6.svg\")
<\/a>By This is a vector graphic<\/a> version of Image:Circle-trig6.png<\/a> by user:Tttrung<\/a> which was licensed under the GFDL<\/a>. Based on en:Image:Circle-trig6.png<\/a>, which was donated to Wikipedia under GFDL by Steven G. Johnson<\/a>. – This is a vector graphic<\/a> version of Image:Circle-trig6.png<\/a> by user:Tttrung<\/a> which was licensed under the GFDL<\/a>.\u00a0; Based on en:Image:Circle-trig6.png<\/a>, which was donated to Wikipedia under GFDL by Steven G. Johnson<\/a>., CC BY-SA 3.0<\/a>, https:\/\/commons.wikimedia.org\/w\/index.php?curid=770792<\/p><\/div>\n One main use for my watch faces so far, was, to move objects around a circle to a corresponding time value like I did with the eye movements of Homer in my Homer watch face<\/a>\u00a0or with the hours and minutes bobbles in TriGoIO<\/a>.<\/p>\n I needed a function to place an object with the x and y coordinates in position of a circle to a given value of time. To do this, I needed sine, cosine\u00a0and\u00a0\u03c0.<\/p>\n By Lucas V. Barbosa<\/a> – Own work<\/span>, Public Domain, https:\/\/commons.wikimedia.org\/w\/index.php?curid=21360683<\/p><\/div>\n To move Homer’s eyes by seconds, we use the WatchMaker variable {ds}, which represents the seconds in a minute from 0 to 60.<\/p>\n Because we want to calculate the x and y coordinates to place the object depending of the seconds, we need to use the sine and cosine functions.<\/p>\n As the illustration above shows, a full circle is To move an object around a circle we need values from To convert the seconds, we simple have to multiply them by To get the horizontal position in the clockwise movement we use the cosine function and we use the sine function for the vertical position.<\/p>\n Because the clock begins counting at the top of the watch face, we\u00a0need to subtract That’s it.<\/p>\n Of course you can control the size of the circle by simply multiplying a desired value to it. For Homer’s eyes in the Homer watch face<\/a>, which have a specific size and position, I’ve used this formula:<\/p>\n Homer’s left eye: Homer’s right eye: The same in Lua script for WatchMaker as follows.<\/p>\n Tap on the object and set the values for “Position X” and “Position Y” to: And for the other eye: Additional formula:\u00a0Move objects in a circle smoothly<\/a> For privacy save likes click 2 times. Hover the i<\/em> button for further information.\n<\/div>\n<\/div><\/a>The\u00a0seconds<\/h2>\n
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\nAnd if you wish to change the position of the circle, just add or subtract a value.
\nAnd if you would like\u00a0to use hours, just use the {dh} variable and divide by 12 instead of 60.<\/p>\nHomer’s eyes<\/h2>\n
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\nx=\"-48 + math.cos(({ds}*0.016666*math.pi*2)- math.pi\/2) * 25\"
\ny=\"-42 + math.sin(({ds}*0.016666*math.pi*2)- math.pi\/2) * 25\"<\/code><\/pre><\/p>\n
\nx=\"48 + math.cos(({ds}*0.016666*math.pi*2)- math.pi\/2) * 25\"
\ny=\"-42 + math.sin(({ds}*0.016666*math.pi*2)- math.pi\/2) * 25\"<\/code><\/pre><\/p>\nUpdates<\/h2>\n
\nAlternative formula:\u00a0Moving around – the easy way<\/a><\/p>\nLike this on:<\/h3>\n
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