Please capitalize where necessary: in book one the relations satisfied by the diameters and tangents of conics are studied while in book two apollonius investigates how hyperbolas are related to their asymptotes , and he also studies how to draw tangents to given conics.
A: In book one the relations satisfied by the diameters and tangents of conics are studied while in book two Apollonius investigates how hyperbolas are related to their asymptotes , and he also studies how to draw tangents to given conics.

Q: it seemed to us that all we had to do was to remove some prohibitions, some brakes.

A: It seemed to us that all we had to do was to remove some prohibitions, some brakes.

Q: alexander dawn of an empire
A: Alexander dawn of an empire

Problem: knit garter st until the piece measures 8-9 cm, put sts on a st holder and knit a second earflap.
Can you repeat this sentence, but capitalize it?
Answer: Knit garter st until the piece measures 8-9 cm, put sts on a st holder and knit a second earflap.

Text: if you know the name of wrong dll like autoconv.exe, choose free download--saving money.

Correct capitalization: If you know the name of wrong DLL like autoconv.exe, choose Free download--saving money.

Text: chauvenet continued to press for a four year academic course, and the naval school was reorganized in 1850-1851 as the u.s. naval academy, with a course of study of four consecutive years.

Correct capitalization:
Chauvenet continued to press for a four year academic course, and the Naval School was reorganized in 1850-1851 as the U.S. Naval Academy, with a course of study of four consecutive years.