The Elements of Spherical Trigonometry
John Weale, 1849 - Spherical trigonometry - 68 pages
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Common terms and phrases
a+b+c a+c-b adjacent Applied AUTHOR base becomes called centre circle circular consequently contained cos b cos cos C sin cosē cosc cosines cot a cot determined draw ENGINEERING equal equation excess extremes conjunct extremes disjunct faces find the angle formula four give given greater hence hypothenuse inclination lines log cos log cot log sin logarithm Mathematical measure meet middle observing opposite angles perpendicular Plates polar triangle pole polygon polyhedron PRACTICE Price produce quadrant quantities radius reducing Relation remaining respect right angles right-angled triangle RUDIMENTARY rule separated Series side AC sin a sin sin c cos sinē sines solid angle solution sphere spherical triangle Substituting surface taking the complements third three angles three sides TREATISE values
Page 1 - ... principles untouched. The only method of avoiding this error is to confide to men, who are masters of their respective subjects, the task of drawing up Popular Introductions to the several branches of Science. The Publisher trusts that the following list of names will be a sufficient guarantee to the Public that what he proposes to attempt in the cause of Popular Instruction will be done well, and that these little treatises will fully answer the purpose for which they are intended, namely, to...
Page 2 - JOHN \YEALK (of which Prospectuses have been extensively issued), have realised the anticipated success from that portion of the public who seek the attainment of those objects of Science which belong to the business of life, and the highest and most useful subjects in the Elements of Art and Science. Pursuing the same path, to render further aid to public instruction, and to direct the attention of the Heads and Principals of the several Colleges and Mr.
Page 55 - The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle.
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Page 4 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Page 3 - ... inestimable value, and too many attempts cannot be made to render them perfect and complete." To carry out this new Series successfully and methodically, the most eminent men in scholastic erudition and elementary instruction have been selected, under the able management and editing of Mr. JAMES...
Page 1 - Popular treatises are to Science what boats are to large ships ; they assist people in getting aboard ; but as no one would trust himself to a weak or inefficient boat, so no one ought to begin the study of Science with an imperfect guide. It sometimes happens that popular treatises are made to appear easy by the omission of those very details which are most essential to be known : they state...
Page 1 - Course for the easy comprehension of the leading principles of various Sciences. It has been remarked that " those who are in the ship of Science ought to remember that the disciples cannot arrive without the aid of boats.
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Page 46 - He did not even understand the rule I made use of for finding the excess of the sum of the three angles of a spherical triangle above...