Born in Birmingham in 1783 as the second son of Isabella and Thomas Beilby , the family moved to Sheffield in 1783 .
Born in 1783 in Birmingham , the second son of Isabella and Thomas Beilby . In 1783 the family moved to Sheffield .

Are these two sentences paraphrases of each other?
yes

It was not marketed in Europe , and was only sold in the U.S .
It was not marketed in Europe and was only sold in the USA .

Are these two sentences paraphrases of each other?
yes

One road was built by the government in 1901 from Rotorua to Ruatahuna to end the isolation of Tuhoe by opening the first road .
A road was built by the government from Rotorua to Ruatahuna in 1901 to end the isolation of Tuhoe by opening up the first motor road .

Are these two sentences paraphrases of each other?
yes

The kinetic energy of a particle is the sum of potential energy and total energy , this sum is also the frequent expression for the Hamilton operator in classical mechanics :
The kinetic energy of a particle is the sum of potential energy and total energy , this sum is also the frequent expression for the Hamiltonian in classical mechanics :

Are these two sentences paraphrases of each other?
yes