## The Elements of Spherical Trigonometry |

### From inside the book

Results 1-5 of 10

Page 11

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**extremes conjunct**. * Thus , if in figure page 12 we suppose BC , the angle B , and the side A B to be the quantities that are to be used ; now as they lie all toge- ther , the angle B is the middle part , and the two sides , B C and ... Page 12

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**extremes**disjunct . From these two equations , proportions may be formed ...**conjunct**. .. sin B tan B C. tan AB ; taking the complements of B and B C ...**extreme**or disjoined parts . sin A B = cos BC cos C ; taking the complements of BC ... Page 13

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**extremes conjunct**. sin AC tan AB . tan C ; taking the complement of C , sin b = tan c cot c ; which agrees with ( 9 ) ; tan c or tan C - sin b To find the angle B. The three circular parts all lie together again , AB being in the ... Page 14

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**extremes conjunct**. sin B tan AB tan BC ; taking the complements of B and BC , .. tan c = cos B cot a 3. To find C. cos B tan c cot a ; cos B tan a , which agrees with equ . ( 8 ) . Here the circular parts lie all together , the ... Page 15

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**extremes conjunct**. sin C tan AC tan BC ; taking the complements of C and BC , cos C tan b cota ; which agrees with equation ( 3 ) ; tan b .. tan a = cos C 2. To find AB or c . As the right angle does not disconnect , AC is the middle ...### Other editions - View all

### Common terms and phrases

acos agrees with equation bcos circle comp cos b cos cos b sin cosē cosc cosines cot a cot cot BC cotē disjoined extremes conjunct extremes disjunct find the angle find the hypothenuse formula Given the side Given the three greater than 90 hence hypothenuse BC I. F. Heather less than 90 log cos log cot log sin log sin AC log sin blog log tan AC logarithm middle Napier's Analogies oblique angles opposite angles perpendicular plane angles Plane Trigonometry polar triangle polygon radius regular polyhedron right-angled spherical triangle right-angled triangle SERIES OF RUDIMENTARY side AC sin a sin sin AB sin c cos sin(A sines six right solid angle solution sphere spherical triangle SPHERICAL TRIGONOMETRY Substituting surface taking the complements three angles three circular three sides TREATISE triangle ABC triangle is equal values

### Popular passages

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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.

Page 2 - CONSTRUCTING CRANES for the Erection of Buildings and for Hoisting Goods, by JOSEPH GLYNN, FRS, CE , TREATISE ON THE STEAM ENGINE, by DR. LARDNER, LL.D., Editor of the " Cabinet Cyclopaedia

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...

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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.

Page 3 - BRIDGES, tec., more particularly the Conway and Britannia Bridges, describing the Experiments made to determine their form, strength, and efficiency, together with the construction of the same, the floating and raising the tubes, *c 2 li.

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...