Sentence examples for equal to the corresponding from inspiring English sources

In a projection of one line onto another from a central point (see Figure), the double ratio of lengths on the first line (AC/AD / BC/BD) is equal to the corresponding ratio on the other line.

By imagining one triangle to be superimposed on another, Euclid argued that the two are congruent if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle (known as the side-angle-side theorem).

Consequently, six formulas follow which display that a function of the complement of A is equal to the corresponding cofunction of A. Of fundamental importance for the study of trigonometry are the addition formulas, functions of the sum or difference of two angles.

Moreover, we prove that the first best constant Aopt is equal to the corresponding Euclidean one.

That is, the production rate of the power plants is equal to the corresponding demand rate.

Since each class can encompass more than one component, each component is smaller or equal to the corresponding whole class.

This is to check whether the result is less than or equal to the corresponding timeout value.

The length of the input humming is not always equal to the corresponding part in the MIDI data [17].

Partition functions of these matrix models are equal to the corresponding Nekrasov partition functions, and their spectral curves are the Seiberg Witten curves of the corresponding theories.

As a geometric mean is less than or equal to the corresponding arithmetic mean, \(\sqrt{[x \cdot (k/x)]} \le [x + (k/x)]/2\).

The velocity vector is confined within, and it is set equal to the corresponding threshold if the velocity vector exceeds the threshold or.