By Heinrich Dorrie

Difficulties that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and different greats, able to problem today's would-be challenge solvers. between them: How is a sundial developed? how will you calculate the logarithm of a given quantity with no using logarithm desk? No complicated math is needed. contains a hundred issues of proofs.

**Read Online or Download 100 Great Problems of Elementary Mathematics (Dover Books on Mathematics) PDF**

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**Additional resources for 100 Great Problems of Elementary Mathematics (Dover Books on Mathematics)**

**Example text**

2. What was the action? What was the reaction? 3. Did all cans spin equally well? Why or why not? 40 2 With nail still inserted, push upper end of nail to the side to bend the hole. Part Two: Experimenting with Soda Pop Can Hero Engines 1. Tell the students they are going to do an experiment to find out if there is any relationship between the size of the holes punched in the Hero Engine and how Part Two Materials and Tools: • Student Work Sheets • Hero Engines from part one • Empty soda pop can with the opener lever still attached (three per group of students) • Common nails - Two different diameter shafts (one each per group) • Nylon fishing line (light weight) • Bucket or tub of water - Several for entire class • Paper towels for cleanup • Meter stick • Large round colored gum labels or marker pens • Scissors to cut fishing line many times it rotates.

The X-33 will be a single-stage-to-orbit vehicle in which the entire vehicle lifts off into space and returns to Earth intact. Looking like a Space Shuttle orbiter, this new launcher concept is also a single-stage-to-orbit vehicle. 34 Rockets: An Educator’s Guide with Activities in Science, Mathematics, and Technology EG-2003-01-108-HQ Activities Activity Matrix .......................................... 36 Pop Can Hero Engine ............................. 39 Rocket Car ..............................................

Canards are mounted on the front end of the rocket while the tilting fins are at the rear. In flight, the fins and canards tilt like rudders to deflect the air flow and cause the rocket to change course. Motion sensors on the rocket detect unplanned directional changes, and corrections can be made by slight tilting of the fins and canards. The advantage of these two devices is size and weight. They are smaller and lighter and produce less drag than the large fins. Other active control systems can eliminate fins and canards altogether.