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| Page | ||
|---|---|---|
| I, | 1. The winch | 257 |
| 11. The Delian problem (doubling the cube) | 267 | |
| II, | 1. The wheel and axle | 273 |
| 2. The lever | 277 | |
| 3. The pulley and the pulley block | 277 | |
| 4. The wedge | 281 | |
| 5. The screw | 283 | |
| 6. Combination of screw and wheel and axle | 287 | |
| 7. Concluding remark on the 5 simple machines | 291 | |
| 18. The endless screw | 291 | |
| 35. The center of gravity of a triangle | 293 | |
| III, | 1. The 'tortoise' (rolling sledge) | 295 |
| 2. The crane with one mast | 297 |
| Page | ||
|---|---|---|
| Introduction | 303 | |
| I. | Hearing and sight. Harmony of the spheres. Classification of optics | 318 |
| II. | 1st and 2nd Proposition: Visual rays form straight lines and move with infinite speed | 321 |
| III. | 3rd Proposition: When visual rays are reflected | 323 |
| IV. | 4th Proposition: Fundamental law of reflection: Equality of the angle of incidence and reflection. Reflection occurs along the shortest path. Proof of this with the plane mirror | 325 |
| V. | 5th Proposition: Proof of this with the convex mirror | 329 |
| VI. | 6th Proposition: No image when the point of incidence is covered | 331 |
| VII. | 7th Proposition: Reflected rays neither converge nor are they parallel. Proven for plane mirrors | 331 |
| VIII. | 8th Proposition. The same proven for convex mirrors | 333 |