In a right triangle it is possible to determine any of the other angles: where A is an acute angle and hypotenuse is the long side of the triangle,

Sin A = length of opposite side over length of hypotenuse,

Cosine A = length of adjacent side over length of hypotenuse,

Tangent A = length of opposite side over length of adjacent side.

I've been feeling a bit mournful about the lack of a relationship with higher math in my life, and have decided that I need to relearn geometric relationships first, then algebra, then trigonometry, then calculus - differential and integral - the study of the rates of change.

I do have a bit of spare time these days, and could maybe work on it for fifteen or so minutes a day.

From calculus I can learn to differentiate between good and evil and to integrate my new knowledge into my world. Critical faculty courtesy of Sir Isaac Newton and Gottfried Wilhelm Leibniz. Legend has it that an apple played an important role is Sir Isaac's life, and an apple played an important role in at least one other legend of knowledge.

One of my favourite things to do when I was studying engineering was to make up silly equations. I haven't made up any silly equations for a long, long time, but I recall that one of the last was related to Newton's Law of Cooling (which states that the rate of cooling of a body is directly proportional to the difference in temperature between the body and the ambient temperature - but this is thermodynamics, not, strictly speaking, math): the rate of change of boredom is inversely proportional to the difference between the threshold boredom level and the ambient boredom level.

I get pretty excited when I think of relearning my math, but I think that I should wait until after the painting course is over. After all, the limit of dv/dt, where d is the rate of change, v = ability to learn new things and t = time, approaches 0 as t approaches 0. It is a direct proportionality.

I should have got a degree in math, but by the time I transfered out of engineering (to English - alpha order) my love of math was worn out of me.

For me dl/dt = m, where l = love, t = studying engineering and m = math, approaches 0 as t approaches infinity.

Maybe I should find some way to combine the math with the art: create a form of expression called art-metic. Many artists have successfully combined language and art, so why ever not? Interesting...

The picture demonstrates what I am currently learning in the painting class: discords. The colour of the wood table is a broken orange and is a bit darker than the blue cup, but being close in tone they shimmer a bit. I like these colours together I like it a lot. I bet there's an equation to be made here.

I like this format of your blog better. It is so much easier to read.

Posted by: bert | 09 November 2006 at 05:40