Right Spherical Triangle
Case of the Right spherical triangle: Right at
.
If the triangle has more than one interior angle with a value of
, it is said to be oblique.
The Napier’s Circle:
In the right triangle, the sides and angles are written in a consecutive way but without the right angle itself while taking the complementary angles for the quantities opposite to the right angle.
From the graph:
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Sine rule for opposite parts:
The sine of any middle part is equal to the product of the cosines of its opposite parts.
Example:
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This gives:
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Sine rule for adjacent parts:
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We can use what we know to verify the following:
Case 1:
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Case 2:
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Case 3:
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Case 4:
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Case 5:
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Case 6:
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