Use ‘polar triangle’ in a sentence | ‘polar triangle’ example sentences
1- The polar triangle of a polar triangle is the original triangle.
2- The polar triangle of a polar triangle is the original triangle.
3- The polar triangle associated with a triangle ABC is defined as follows.
4- The other three equations follow by applying rules 1, 3 and 5 to the polar triangle .
5- The triangle A’B’C’ is the polar triangle corresponding to triangle ABC.
6- Therefore, if any identity is proved for the triangle ABC then we can immediately derive a second identity by applying the first identity to the polar triangle by making the above substitutions.
7- A very important theorem (Todhunter, Art.27) proves that the angles and sides of the polar triangle are
8- When one of the sides, say “c”, of a spherical triangle is equal to Ï€/2 the corresponding equations are obtained by applying the above rules to the polar triangle “A’B’C’ ” with sides “a’,b’,c’ ” such that “A’ “= π–”a”, “a’ ” = π–”A” etc. This gives the following equations:
9- Applying the cosine rules to the polar triangle gives (Todhunter, Art.47), “i.e.” replacing “A” by π–”a”, “a” by π–”A” etc.,
More Sentences:
Related Words:
calot triangle – triangle test – pascal’s triangle – oblique triangle – arithmetic triangle – obtuse triangle – geodesic triangle – polar triangle – scalene triangle – obtuse angled triangle – right angled triangle – circular triangle – spherical triangle – isosceles triangle – bermuda triangle –
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