Thus the Ford circle [1], drawn tangent to the real axis at p_n/q_n, and having radius a_n+1⁻¹q_n⁻², must contain in its interior some points belonging to p_n/q_n, such as 𝜃+ia_n+1⁻¹q_n⁻² whose imaginary part lies between q_n⁻² and q_n+1⁻².

Then she saw that Petronella’s merbrothers Jolly, Julian, Joseph, John, Jerry, Jimmy, and Jupiter were pushing the boat towards the river bank to the place where it sloped gently.

Columbite from Topsham, Maine, and tantalite from Grizzly Bear Gulch, Black Hills, S. D. were used for the experiment. Also other insoluble columbite-tantalites such as yttrotantalite, bismuthotantalite, stibotantalite, etc. will be decomposed […]

The potato, as a mountain tropical plant, is capable of growing in cooler weather than any other tropical except the Nasturtian.