On Jan 15, 2007, at 3:09 PM, Donald Gillies wrote:
> Dang, I knew i'd get something wrong in that last message. I guess my
> mental arithmetic unit is getting a little bit rusty...
>
> 3.14159 / 2 = 1.5708
>
> (84 / 180) * 1.5708 = 0.733 inches, actually.
>
> At least I was able to calculate the cosines correctly in my head !!
>
> - Don *dont*believe*it* Gillies
> San Diego, CA, USA
Yeah, what's up with that Don??? Here's my calculations for the decal:
left_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos (theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos (theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wideleft_decal_extent = 0.33 in the picture right_decal_extent = 0.33 in the picture r cos theta = x 0.5 * cos(theta1) = 0.33 ; theta1 = inv_cos(0.66) = 48 degrees 0.5 * cos(theta2) = 0.33 ; theta2 = inv_cos(0.66) = 48 degrees alpha + theta1 + theta2 = 180 alpha = 180 - 48 - 48 = 180 - 96 = 84 degrees decal = (84 / 180) * 1.578 = 0.74 inches wide
Could you check my figures to see if they agree with yours, please?
Chuck "my head feels like its wants ta bust open" Schmidt South Pasadena, CA