132 SEC. 4. KINEMATICS, STATICS, AND DYNAMICS. 



COLLECTION OF KINEMATIC MODELS, EXHIBITED BY THE KONIGL. 

 GEWERBE-AKADEMIE, BERLIN, PROF. KETILEAUX, DIRECTOR. 



The models in this collection are connected throughout with Professor 

 Reuleaux's treatment of the theory of machines. Their nature will be found 

 fully discussed in his " Theoretische Kinematik " (Vieweg und Sohn). The 

 English edition of this work (Maciniilan), translated and edited by Professor 

 Alexander B. W. Kennedy, C.E., of University College, London, was pub- 

 lished in June. The English names of the mechanisms here given are those 

 used by Professor Kennedy in his translation. 



551. I. Fairs of Kinematic Elements. 



(a.) LOWER PAIRS. 



1. Turning or cylinder pair, R+ R- or C + C~. 



2. Sliding or prism pair, P+ P-. 



3. Twisting or screw pair, S+ S~. 



552. Fairs of Kinematic Elements. 



(b.) HIGHER PAIRS. 



4. Equilateral duangle in equil. triangle. 



These models of the higher pairs of elements can be inverted ; 

 that is, the movable element can be fixed, and the fixed element 

 made movable. The centroids are shown in thick black or red 

 lines ; the roulettes, or point-paths, in thinner lines. 



5. Expanded duangle in equil. triangle. 



6. Equilateral curve-triangle in square. 



7. Equilateral curve- triangle in rhombus. 



8. Expanded isosceles curve-triangle (90) in square. 



9. Expanded equilateral curve-triangle (90) in rhombus. 



10. Regular curve-pentagon in square. 



11. Symmetrical curve-pentagon in square. 



553. II. Conic Axoids, with corresponding Spheric 



Roulettes and Profiles. 



12. Spheric epicycloid. 



Katio 1 : 3. 



13. Spheric cycloid. 



A full cone rolling upon a plane cone (1:3). 



14. Spheric hypocycloid. 



A full cone rolling in an open one (2:1). 



15. Spheric hypocycloid. 



Ratio 1:3. 



16. Spheric pericycloid. 



The curve upon the rolling cone passes always through the de- 

 scribing point of the fixed one. 



