Chase.] OyU [Nov. 4, 



ery of many others. The connection of comets with meteoric streams will, 

 doubtless, awaken many inquiries respecting stellar groups and stellar 

 motions, some of which may be within the reach and others beyond the 

 reach of future satisfactory solution. 



132. Further Paraholoidal Harmony. 



Let r^ be a fourth proportional to Jupiter's locus of incipient subsidence,* 

 Earth's semi-axife major and Sun's semi-diameter. Then the first three 

 abscissas of Note 46 (A^ — A2) determine the paraboloid, and there are 

 four groups of 3^ abscissas, between r _ and the fixed stars, viz. : 9, (A3 — 

 An), between r^ and Sun's semi-diameter ; 9, (Ajj — Ago), between Sun's 

 surface and the loci of planetary rupture ; 9, (A21 — A29), within the belt 

 of rupturing loci ; 9, (Ago — Agg), between the rupturing loci and « Cen- 

 tauri. The influence near the centre of the belt of greatest condensation 

 appears to be also traceable in the ratio between the rupturing abscissas for 

 Earth and Venus, A23 -f- A22 = 1.77875, 



log. 1.77875-3 = — .7503433 

 log. 1.77875" = .0000000 

 log. 1.77875« = 1.5006864 

 log. 1.77875'« = 4.0018304 

 log. 1.778753" = 7.5034320 



By referring to the table in Note 46, it will be seen that the division of 

 the abscissas into four groups of nine each is indicated by these loga- 

 rithms. It may be well also to observe that 1.77875* differs by less than 

 jJq of one per cent, from Stockwell's value for Saturn's mean aphelion, 

 estimated in terms of Earth's semi-axis major. 



133. Another Gonflrmation of Prediction. 



On the 4th of October, 1878, I presented a communication to the Ameri- 

 can Philosophical Society,! in which I showed that the position of Wat- 

 son's first intra-Mercurial planet, as computed by Gaillot and Mouchez, 

 represented the third intra-Mercurial term of my harmonic series. At the 

 last meeting of the British Association, Prof Balfour Stewart read a paper 

 in which he gave indications of sun-spot disturbances by a planet, revolv- 

 ing in 24.011 days, and consequently having a semi-axis major of .163. 

 This confirmation, both of my own prediction if and of the calculations of the 

 French astronomers, is the more interesting, because the first confirmation 

 of my series was contained in a communication which was made to the 

 Royal Society by Messrs. De la Rue, Stewart and Loewy, forty-one days 



* Secular aphelion. 



fProc. Am. Phil. Soc., xviii, 34-6. 



JJ6. xiii,238. 



