## The Elements of Spherical Trigonometry |

### From inside the book

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Page 147

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**log**.**sin**a = 9 · 99826 - 0.0000005 t**log**.**sin**b 18 - 8,30 t**log**,**sin**c 9.68159 Add 9.94520 +0.0000620 t 0.0000100 t Venus . A = 89 58 30 + 0,33 t**log**.**sin**a B = 1 27 20 + 0,50 t 9.99928 +0.0000022 t**log**.**sin**b = 9 · 95977 + 0 ... Page xvi

... sin A = 9.70075 . 18.

... sin A = 9.70075 . 18.

**log sin**A = 9.91289 . 19. log cos A = 9.86026 . 20. log cos A = 9.54595 . 21. log tan A = 9.79840 . 22. log tan A = 10.07671 . 23. log cot A = 10.00675 . 24. log cot A = 9.84266 . 25. log cos A = 9 40008 . 26. log cot ... Page 16

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**log sin**30 ° . 111.**log sin**60 ° . 112.**log sin**79 ° . 113. log cos 87 ° . 114. log tan 33 ° . 115. log cot 72 ° . 116.**log sin**1 ' 51 " . 117. log tan 37 ' 50 " . 118. log cos 1o 19 ' . 119. log cot 88 ° 24 ' . 120.**log sin**19 ° 37 ... Page xxi

... log . cos . 0 ° 49 ′ 20 ′′ abgezogen , weil die log . cos . abnehmen , da die Winkel wachsen ; nämlich log . cos . 0 ° 49 ′ 20 ′′ = 9.9999553 3 6 10 wegen 6 " = giebt log . cos . 0 ° 49 ′ 26 ...

... log . cos . 0 ° 49 ′ 20 ′′ abgezogen , weil die log . cos . abnehmen , da die Winkel wachsen ; nämlich log . cos . 0 ° 49 ′ 20 ′′ = 9.9999553 3 6 10 wegen 6 " = giebt log . cos . 0 ° 49 ′ 26 ...

**log**.**sin**. 6 ° 1 ' 30 " Einleitung . XXI. Page 17

From figure 4 it is plain that— log MP therefore : log a -

From figure 4 it is plain that— log MP therefore : log a -

**log sin**a**log sin**L = log b ―**log sin**ẞ +**log sin**R**log sin**L -**log sin**R = log blog sin ẞ— This works out for our example thus : - ( log a ( log a**log sin**a ) . log a 2.925086 log ...### Other editions - View all

### Common terms and phrases

acos agrees with equation bcos circle comp cos b cos cos b sin cos² cosc cosines cot a cot cot BC cot² 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 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...