Category: Mathematics
Underscores “_” before and after a word or phrase indicate _italics_ in the original text. Equal signs “=” before and after a word or phrase indicate =bold= in the original text. Small capitals have been converted to SOLID capitals. Typographical errors have been silently corr...
Underscores “_” before and after a word or phrase indicate _italics_ in the original text. Equal signs “=” before and after a word or phrase indicate =bold= in the original text...
2. Part 2If two of three basal points of the system of conics be at infinity, the system of cubics obtained by projection and inversion has six coincident basal points and hence only thr...
3. Part 3Any two parabolas which have a common focus and their axes in opposite directions cut at right angles. Inverting:—any two cardioids having a common cusp and their axes in opposi...
4. Part 4Through the aid of ministers and others to whom I have been referred by the superintendents I hope to make this report complete in the following respects: The more exact limits...
5. Part 5The following counties report that there are no settlements of people of foreign birth within their borders: Atchison, Barber, Bourbon, Clarke, Finney, Grant, Gray, Hamilton, Ha...
6. Part 6If the two nodal circles cutting a cardioid orthogonally and pass through the point P, make equal angles with a fixed nodal circle, the locus of P is a cardioid.