Problem: Add spaces: "FoxVideoStudiodomorewithyourdigitalmedia.

Spaces added: "Fox Video Studio do more with your digital media.

Problem: Add spaces: TheFinnishsaunaissetonaterracewithwhirlpool.

Spaces added: The Finnish sauna is set on a terrace with whirlpool.

Problem: Add spaces: ThereweretheheelsofforeigninvasiontrampinguponFrance;therewasthedownfallofauEmpire,andthecaptivityofaBonaparte;andtheretheywerethemselves.

Spaces added: There were the heels of foreign invasion tramping upon France; there was the downfall of au Empire, and the captivity of a Bonaparte; and there they were themselves.

Problem: Add spaces: Iamnotacquainted,whetherthiscuriouspropertyofvulgarfractionshasbeenbeforepointedout?;orwhetheritmayadmitofsomeeasyorgeneraldemonstration?;whicharepointsonwhichIshouldbegladtolearnthesentimentsofsomeofyourmathematicalreaders...

Spaces added:
I am not acquainted, whether this curious property of vulgar fractions has been before pointed out?; or whether it may admit of some easy or general demonstration?; which are points on which I should be glad to learn the sentiments of some of your mathematical readers ...