SPHERICAL
TRIGONOMETRY

BY
I. TODHUNTER, M.A., F.R.S.,
HONORARY FELLOW OF ST JOHN’S COLLEGE,
CAMBRIDGE.
FIFTH EDITION.
London :
MACMILLAN AND CO.
1886



CONTENTS.

I Great and Small Circles. 1
II Spherical Triangles. 7
III Spherical Geometry. 11
IV Relations between the Trigonometrical Functions of the Sides
and the Angles of a Spherical Triangle. 17
V Solution of Right-angled Triangles. 35
VI Solution of Oblique-Angled Triangles. 49
VII Circumscribed and Inscribe..............etc

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Applications  Ambiguous Case 
Area of a Triangle
Until now, our work with triangles has been limited to right triangles. However,
the concepts developed in Chapter 5 can be extended to all triangles. Every triangle
has three sides and three angles. If any three of the six measures of a
triangle are known (provided at least one measure is the length of a side), then
the other three measures can be found. This is called solving the triangle
Applications  Ambiguous Case 
Area of a Triangle
Until now, our work with triangles..............etc

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A New Control Scheme for a Class-D Inverter with Induction Heating Jar Application by Constant Switching Frequency
ABSTRACT
In this paper, a simple power control scheme for a constant frequency Class-D inverter with a variable duty cycle isproposed. It is more suitable and acceptable for high- frequency induction heating (IH) jar applications. The proposedcontrol scheme has the advantages of not only wide power regulation range but also ease of control output power. Also itcan achieve a stable and efficient Zero-Voltage-Switching (ZVS..............etc

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