Sentence examples similar to proving in the first from inspiring English sources

One of the desirable mathematical features of this method (the stereographic projection) is that it converts circles into circles or straight lines, a property proved in the first pages of Apollonius's Conics.

These figures illustrate the result proved in the first example.

As proved in the first part, we conclude that S and T are orbitally continuous.

Many had predicted a final where attritional forward play would hold sway over creativity and flair, and so it proved in the first half.

The existence and multiplicity of the positive solutions to the problem (1.1) are proved in the first part of Section 3.

On the other hand, a team including only sensation-oriented people might fail to produce innovative goals, or to stay focused on what they're out to prove in the first place.

And so it proved in the first half when they went down two goals in half an hour.

Antenatally, mothers of 3 patients had a history of oligohydramnios during gestation, 2 had a history of typhoid fever (blood culture proven) in the first trimester, and 2 had a history of chorioamnionitis (clinical diagnosis) in the third trimester.

On that wicket, as we proved in the second innings, runs were there to be had.

Jeered off at half-time, Celtic had much to prove in the second period and they at least set about their task with vigour but their lack of creativity in midfield was all too evident.

The above theory was proved in the ninth chapter of the book by Neapolitan and Naimipour.