Excerpt from Trigonometry Plane and Spherical: With the Investigation of Some of the More Important Formul? of Practical Astronomy and Surveying, Specially Arranged for the Use of the Students Attending the Royal Geographical Society's Course of Instruction
This book has been specially prepared for the use of students attending the Royal Geographical Society's course of instruction in Practical Astronomy and Surveying, but it is hoped that it will prove equally serviceable to others who may be commencing the study of these subjects. There are, of course, many text books on Trigonometry, both Plane and Spherical, but these, as a rule, are too advanced for beginners, or merely consist of a collection of formul? to be committed to memory with little or no explanation of how they have been derived. In this work is given only what is absolutely indispensable in order that the student may have a good foundation to build upon, and follow intelligibly the more ordinary formul? used in Practical Astronomy and Surveying. Many students when they commence their studies with me have forgotten most of the trigonometry they learnt at school or college, hence I have found it necessary to commence at the beginning, and from the most important elementary geometrical theorems to lead the student step by step up to the investigation of the more important formul?e which he will afterwards make use of.
The work must in no wise be considered as a complete text book, but merely as an introduction to the many excellent works on trigonometry and surveying already in existence. Still, so far as it goes, every endeavour has been made to render it clear and intelligible. To that end many diagrams are given, and throughout I have preferred graphic and geometrical proofs to those of a purely theoretical nature, as from experience I have found that these are more readily comprehended by my students, who are anxious, owing to the limited time at their disposal, to pass on to the practical side of surveying and the determining of positions in latitude and longitude as soon as possible. It is hoped that the folding diagram in the pocket at the commencement of the book, showing the development of the fundamental formul? of Spherical Trigonometry from that of Plane Trigonometry, will be found useful to beginners.
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