A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical Tables and Logarithms, Together with a Selection of Problems and Their Solutions
A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical Tables and Logarithms, Together with a Selection of Problems and Their Solutions
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1858 Excerpt: ... TREATISE SPHERICAL TRIGONOMETRY. GENERAL PROPERTIES OF CIRCLES OF THE SPHERE. DEFINITION OF A SPHERICAL TRIANGLE. 1. The boundary of every plane section of a sphere is a circle. If the cutting plane pass through the center, this is evident; and in this case the section is called a great circle, and is determined when ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1858 Excerpt: ... TREATISE SPHERICAL TRIGONOMETRY. GENERAL PROPERTIES OF CIRCLES OF THE SPHERE. DEFINITION OF A SPHERICAL TRIANGLE. 1. The boundary of every plane section of a sphere is a circle. If the cutting plane pass through the center, this is evident; and in this case the section is called a great circle, and is determined when any two points on the surface of the sphere through which it passes are given. All great circles are equal to one another, since they have the same radius, namely that of the sphere; and they all bisect one another, since their planes intersect in diameters of the sphere. Hence the distance of the points of intersection of two great circles measured on the sphere is a semi-circumference. If the cutting plane does not pass through the center of the sphere, from 0 (fig. 1) the center of the sphere drop upon it the perpendicular 00, and join C with any pointed in the boundary of the section; then AO = lAO-OG which is invariable; therefore the boundary of the section is a circle whose center is C; and it is called a small circle. Arcs of small circles are very rarely used; and when, hereafter, an arc of a circle is mentioned, an arc of a great circle, unless the contrary be specified, is invariably intended; and in most cases it is employed to denote the angle which it subtends at the center of the sphere, no regard being had to the radius of the sphere. 2. If OC be produced both ways to meet the surface of the sphere in P and F, then the line PA = JPC + AC which is invariable. Also if PAM be an arc of a great circle passing through P and A, since in equal circles equal straight lines cut off equal arcs, the length of the arc PA is invariable. Therefore the distance of P is the same from every point in the perimeter of the circle AB, whether measu...
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Fine. Sewn binding. Cloth over boards. 236 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Sewn binding. Cloth over boards. 236 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Sewn binding. Cloth over boards. 236 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
All Editions of A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical Tables and Logarithms, Together with a Selection of Problems and Their Solutions
