A Treatise On Trigonometry
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[Thm. 1 Cor. 1 If the hypothenuse is less than 90°, the other two sides are of the same species, and so are the two oblique angles ; but if the hypothenuse is greater than 90° they are of different species, and so are the two oblique angles. [Thm. 1 Cor. 2 If the hj^pothenuse equals 90°, another side and its opposite angle are each equal to 90° ; and if another side or its opposite angle equals 90°, the hypothenuse equals 90°. [Thm. 1 Cor. 3 No side is nearer to 90° than its opposite angle. [Th...m. 1 Cor. 4 In any spherical triangle : A side that differs from 90° not less than another side is of the same species as its opposite angle. [Thm. 3. Cor.
An angle that differs from 90° not less than another angle is of the same species as its opposite side. [Thm. 4 Cor. 1 There are at least two sides which are of the same species as their opposite angles. [Thm. 4 Cor. 2 The half-sum of any two sides and the half-sum of their oppo- site angles are of the same species. [Thm. 12 Cor.
Digitized by VjOOQIC 70 SPHEKICAL TRIGONOMETRY.
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To quickly assess the difficulty of the text, read a short excerpt:
[Thm. 1 Cor. 1 If the hypothenuse is less than 90°, the other two sides are of the same species, and so are the two oblique angles ; but if the hypothenuse is greater than 90° they are of different species, and so are the two oblique angles. [Thm. 1 Cor. 2 If the hj^pothenuse equals 90°, another side and its opposite angle are each equal to 90° ; and if another side or its opposite angle equals 90°, the hypothenuse equals 90°. [Thm. 1 Cor. 3 No side is nearer to 90° than its opposite angle. [Th...m. 1 Cor. 4 In any spherical triangle : A side that differs from 90° not less than another side is of the same species as its opposite angle. [Thm. 3. Cor.
An angle that differs from 90° not less than another angle is of the same species as its opposite side. [Thm. 4 Cor. 1 There are at least two sides which are of the same species as their opposite angles. [Thm. 4 Cor. 2 The half-sum of any two sides and the half-sum of their oppo- site angles are of the same species. [Thm. 12 Cor.
Digitized by VjOOQIC 70 SPHEKICAL TRIGONOMETRY.
What to read after A Treatise On Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by James Edward Oliver to read onlineMoreLess
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