The Elements of Plane Trigonometry
The Elements of Plane Trigonometry
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In our eReader you can find the full English version of the book. Read The Elements of Plane Trigonometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Elements of Plane Trigonometry
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SlU'^X 6. Three mountain peaks A, B, G appear to an observer to be in a straight line when he stands at each of two places P and Q in the same horizontal line ; the angle subtended hy AB and BG at each place is a, and the angles A QP, GPQ are (p and \[r, respectively. Prove that the lieights of the mountains are as cot 2a4-cot \/r : J(cota+cot\/r)(cota+cot0)tana : cot2a+cot0, and that, if QB cut AG in D, AG=GD . Sin 2a(cot a + coti/r).
PART III. COMPLEX QUANTITY.
"Every combination of symbols c...an be explained, and everything explicable is a line of definite length and direction, and every such line can be represented byp + gV-1. " — De Morgan.
CHAPTER XVI COMPLEX NUMBERS.
250. On the Representation of Positive and Negative Numbers by Straight Lines. — We know that if lengths measured along a straight line, from a point in the line as an origin, be denoted by positive numbers, then lengths measured from the origin along the line in the opposite direction will be denoted by negative numbers.
What to read after The Elements of Plane Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Rawdon Levett to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
SlU'^X 6. Three mountain peaks A, B, G appear to an observer to be in a straight line when he stands at each of two places P and Q in the same horizontal line ; the angle subtended hy AB and BG at each place is a, and the angles A QP, GPQ are (p and \[r, respectively. Prove that the lieights of the mountains are as cot 2a4-cot \/r : J(cota+cot\/r)(cota+cot0)tana : cot2a+cot0, and that, if QB cut AG in D, AG=GD . Sin 2a(cot a + coti/r).
PART III. COMPLEX QUANTITY.
"Every combination of symbols c...an be explained, and everything explicable is a line of definite length and direction, and every such line can be represented byp + gV-1. " — De Morgan.
CHAPTER XVI COMPLEX NUMBERS.
250. On the Representation of Positive and Negative Numbers by Straight Lines. — We know that if lengths measured along a straight line, from a point in the line as an origin, be denoted by positive numbers, then lengths measured from the origin along the line in the opposite direction will be denoted by negative numbers.
What to read after The Elements of Plane Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Rawdon Levett to read onlineMoreLess
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