Search Results for “big”
Tridecagon Diagonals, Circles and Tangents (BIG)
You'll want to start out with the heptagon and work your way up. This one's the same as all the others, just with a 13-sided regular polygon. Observe the tangencies to diagonals of circles centered at intersections of diagonals, when the circles are resized (by dragging). This is a bigger version that works better on very large monitors in fullscreen mode. Smaller version here.
Regiomontanus Problem
We seek the place on the earth's surface where a vertically suspended bar (or the rings of Saturn) look the biggest. A machine to solve this problem consists of a mass fixed to the earth's surface and a couple of bars attached to the mass and constrained to pass through the ends of the bar. A spring between the bars pushes them apart. The machine reaches equilibrium when the bars are as far apart as possible, hence finding the solution to Regiomontanus' Problem. You can drag the ends of the bar to change the problem. Press Show to see the circumcircle of the ends of the bar and the mass. You should notice something about the position of this circumcircle at equilibrium. Can you explain what you have noticed?
Pattern drawing toy
A toy based on a geared 5 bar linkage consists of a turntable on which you can put a paper disk. Two gears are attached to the turntable and a pair of rods attached to the gears. As you turn the turntable, the smaller gears turn which makes the rods travel. A pen attached to the rods traces out a pattern You can drag the big circle and watch the pattern be traced. You can also drag one of the gears to alter their relative location. You can change the length of the bars.
Maximum Sum of Squares
Drag points A B and C on the curve, and try and make the sum of squares as large as possible. When you have made the number as big as you can, click Show to see the normals to the curve at A, B and C as well as the midpoints of the triangle. Can you improve your value by dragging the points so that the normals pass through the midpoints?
trapezoid field
How big a circle can you fit into this piece of field? The next release of Geometry Expression will support export of pictures in HTML5 apps!!
