How much of introductory calculus can be learned without using analytic geometry or for that matter any algebraic notations but simple euclidean geometry? Are there any resources(new ones not the old ones of Newton's times) that treat calculus topics like derivative, integrals, maxima and minima using pure euclidean geometry? The genuine problems that I face is how to understand and explain polynomial curves,trigonometric and logarithmic functions and their derivatives or integrals without use of algebra.But I still believe that a high school kid will have more affinity towards the pure geometric visualization rather than the algebraic one. So do suggest some good resources(preferably books) on this kind of approch( I found one going by the name Calculus without Analytic Geometry by Barry Mitchell, but struggled to get its contents).
There are some calculus courses for kids that focus on the splitting up into slices and that sort of thing. They don't go as far as you'd probably like, and they aren't Euclidean, really. This is a course that was offered last year: http://naturalmath.com/2016/02/newsletter-february-1-2016/