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Edward Olney.

Elements of trigonometry, plane and spherical online

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thought desirable.]

SUG. The a. c. of 2.468216 is 11.531784, since 2 is negative. An a. c. can b
written directly from the table with nearly the same ease as the logarithm
itself, by writing from left to right, and taking each figure from 9, except the







INTRODUCTION TO THE TABLE OF LOGARITHMS.

right-hand one, which is to be taken from 10. Thus, if the characteristic is
we write 6 the next figure being 2, write 7 ; for 4, write 5, etc.



1. What is the cube of 32 ?

SOLUTION. Since the logarithm of the cube of a number is three times the
logarithm of the number itself (11\ we have

log (32)' = 3 log 32 = 4.515450 = log 32767.97,

which number is the cube of 32, as accurately as the process gives it (32) 1 by
multiplication = 32768.

2. What is the cube root of 7896.34?

SUG. Log (7896.34)* = log 7896.34 = 1.299142 = log 19.913. /. ^7896.34)^
= 19.913. (SeeJS.)

3. What is the 20th power of 1.06 ? Ans. 3.2071,

4. What is the 5th power of 2.846 ?

5. What is the 5th root of 31152784.1 ? Ans. 31.52+.

6. What is the cube root of 30 ? Ans. 3.107 + .

7. What is the cube root of .03 ?

SUG. Log .03 ="2.477121. Now to divide this_by 3, we have to bear in mind
that the characteristic alone is negative ; *. ., &477121 = 2 +_.477121, or
1.522879. This divided by 3 gives - .507626, or - .507626 = 1.492374. But
a more convenient method of effecting this division is to write for the 2,
3 +_1, whence we have for "2.477121, 3 + 1.477121, which divided by 3
gives 1.492374, nearly.

8. Divide 3^261453 by 2, by 4, by 5. Last quotient, T.452290G.

9. What is the 4th root of .00000081 ? Ans. .03.
10. What is the 7th root of 0.005846? Ans. .4797.



1. If 28.035 : 3.2781 : : 3114.27 : x, what logarithmic operations
will fiiid x?

SUG. The logarithm of the product of the means is the sum of their loga-
rithms ; and the logarithm of the quotient of this product divided by the first
extreme, is the logarithm of said product minus the logarithm of the oilier
extreme. .*. log x - log 3.2781 + log 3114.27 - log 28.035 = 0.515622 + 3.493356
- 1.447700 = 2.561278. Hence, x = 364.1478 +.

2. Given 72.34 : 2.519 : : 357.48 : x, to find x, by logarithms.

x = 12.448.

3. Given 6853 . 489 : : 38750 : x, to find x, by logarithms.

x = 2765,



10 INTRODUCTION TO THE TABLE OF LOGARITHMS.

Suo. The most elegant way to solve such propositions by logarithms is tc
take the sum of the logarithms of the means and the a. c. of the given extreme
and reject 10. The result is log x.

4. Giv^n 497 : 1891 : : 376 : x, to find x, using the a. c. log.

OPERATION. log 1891 = 3.276692

log 370 = 2.575188
a. c. log 497 = 7.303644
Sum, less 10 = 3.155524 = log 1430.62. /. x = 1430.62.

[NOTE. Solve the preceding in a similar manner, by using a. c. log.]



Let the student give the reasons for the following :

1. Given (f) 2 -i- (^) H = x, we have

2 log 2 = 0.602060

| log 16 = 0.903090

a. c. 2 log 3 = 9.045758

a. c. J log 5 = 9.475773

Sum, less 20 = 0.026681. .'. * = 1.0633 + .

2. Given A/I : x : : (3J) 2 : y'G*, to find x.

Log .c = 2 log 3 + i log 2 + | log 6 + a. c. 2 log 10 + a. c. $ log 5 30 =
374039. /. a; = 0.1879 + .



3., Giyen VTTE X v'iolG : (0.0051)' : : x :/



Log x = | log 115 + J log .016 + i log .32 + a. c. } log 11.46 f a c. 8 log
0051 - 20 = 2.729701. .'. x = 536.66 +.



TABLE I.



CONTAINING



LOGARITHMS OF NUMBERS



FKOM 1 TO 11,000.



N.


Log.


N.


Log.


N.


Log.


N.


I-f.


1
2
3
4
5


0-000000

o-3oio3o
0-477121
0-602060
0-698970


26

27
28
29
30


4U973
-43i364
447158
-462398
477121


51
52
53
54
55


1-707570
i -716003
1.724276
1-732394
I -74o363


76

77
78
79
80


880814
886491
892095


6

7
8
9
10


o-778i5i
0-843098
0-903090
0-954243

I - 000000


31
32
33
34
35


491362
5o5i5o
5i85i4

53i479
544068


56
57
58
59
60


748188
. 7 558 7 5
763428
770852
- 77 8i5i


81
82
83
84
85


908485
9 i38i4
919078
.924279
929419


11
12
13
14
15


041393
079181
113943
146128
176091


36
37
38
39
40


5563o3

568202
-579784
-691065
602060


61
62
63
64
65


78533o
792392
799341
-806180
812913


86.
87
88
89
90


-934498
-939519
944483
949390
.954243


16

17
18
19

20


204120
23o449
255273
278754
3oio3o


41
42
43
44
45


612784
623249
633468
643453
6532i3


66
67
68
69
70


8i 9 544
826075
832509
838849
845o 9 8


91
92
!>3
94
95


959041

963788
.968483
973128
977724


21
22

20.
24
25


322219

342423
361728
i-38o2ii
1-397940


46
47
48
49
50


662758
672098
681241
690196
698970


71
72
73
74
75


85i258
85 7 333
863323
869232
875061


96

97
93
99
100


982271
.986772
991226
9 9 5635

2 OOOOOO



REMARK. In the following Table, the first two figures, in the first column of
Logarithms, are to be prefixed to each of the numbers, in the same horizontal
line, in the next nine columns; but when a point () occurs, a is to be put
in its place, and the two initial figures are to be taken from the next line below.



12



LOGARITHMS OF NUMBERS.



H.





1


2


3


4


5


6


7


8


9


D.


100


oooooo


0434


0868


i3oi


1734


2166


25 9 8


3029


346i


38 9 i


432


101


4321




5i8i


56o 9


6o38


6466


6894


7 32i


7748


8174


428


102


8600


9026


0451


9876


3oo


724


1147


1570


1993


24i5


424


103


012837


325 9


368o


4100


452i




536o


5779


6197


6616


419


104


7033


7 45i


7868


8284


8700


9116


9532


9947


C 3oi


0-775


416


105


021 l8 9


i6o3


2016


2428


2841


3252


3664


4075


4486


48 9 6


412


106


53o6


5 7 i5


6i25


6533


6942


735o


77^7


8164


8571


8 97 8


408


107


' 9 384


9789


i 9 5


600


1004


1408


1812


2216


2619


3o2i


404


108
109


o33424
7426


3826
7825


4227

8223


4628
8620


5029
901-7


543o
9414


583o
9811


623o
207


6629
602


7028

998


4oo
3 9 6


110


O4i3 9 3


1787


2182


2576


2969


3362


3755


4148


454o


4 9 32


3 9 3


111


5323


5714


oio5


64 9 5


6885


7 2 7 5


7664


8o53


8442


8b3o


38 9


112


9 2l8


9606


9993


38o


766


ii53


1538


1924


2309


2694


386


113


053078


3463


3846


423o


46i3


4996


5378


5760


6142


6024


382


114


6 9 o5


7286


7666


8046


8426


88o5


9i85


9 563


9942


320


379


115


060698


1075


1452


1829


2206


2582


2g58


3333


3709


4o83


3 7 6


116


4458


4832


52o6


558o


5 9 53


6326


6699


7071


7443


7&i5


372


117


8186


855 7


8928


9298


9668


38


407


776


H45


i5i4


3 69


118


071882


2250


2617


2 9 85


3352


3 7 i8


4o85


445i


4816


5i82


366


119


5547


5 9 I2


6276


6640


7004


7 368


77 3i


8o 9 4


8457


8819


363


120


079181


9 543


9904


266


626


987


i34 7


1707


2067


2426


36o


121


082785


3i44


35o3


386i


4219


4076


4934


52 9 I


5647


6004


35 7


122


636o


6 7 i6


7071


7426




8i36


8490


8845


9198


9 552


355


123


9900


258


611


963


i3i5


1667


2018


2370


2721


3071


35i


124


093422


3 77 2


4122


4471


4820


5i6 9


55i8


5866


62i5


6562


349


125


6910


7 25 7


7604


7g5i


8298


8644


8 99 o


9 335


0681


26


346


126


100371


O 7 i5


io5o


I4o3


1747


2091


2434


2777


3i 19


3462


343


127


38o4


4146


4487


4828


5i6o


55io


585i


6191


653 1


6871


34o


128


7210


7 54g


7888


8227


8565


8 9 o3


9241


9 5 79


9916


253


338


129


iio5 9 o


0926


1263


1599


i 9 34


2270


26o5


2 9 4o


32 7 5


36og


335


130


113943


42 77


4611


4944


52 7 8


56n


5 9 43


6276


6608


6940


333


131

132


7271
120574


7 6o3
0903


79 34

123l


8265
i56o


85 9 5
1888


8926
2216


9256
2544


9 586
287!


991 5
3198


2/,5
3525


33o
328


133


3852


4178


45o4


483o


5i56


548i


58o6


6i3i


6456


6781


325


134


Tio5


7429


77 53


8076


83 99


8722


9045


9 368


9690


12


323


135


i3o334


o655


0977


1298


1619


*9 3 9


2260


258o


2900


3219


321


136


353 9


3858


4177


4496


4814


5133


545i


5 7 6 9


6086


64o3


3i8


137


6721


7037


7354


7671


7987


83o3


8618


8 9 34


9249


9 564


3i5


138


0879


194


5o8


822


ii36


i45o


I 7 63


2076


238 9


2702


3i4


139


I43oi5


332 7


3639


3 9 5i


4263


4574


4885


5i 9 6


55o 7


58i8




140


146128


6438


6748


7 o58


7 36 7


7676


79 85


8244


86o3


8911


3o 9


141


9219


9527


9835


142


449


7 56


io63


1370


1676


1982


3o 7


142


i5 22 88




2900


32o5


35io


38i5


4120


4424


4728


5o32


3o5


143


5336


564o


5g43


6246


6549


6852


7 i54


745 7


77 5 9


8061


3o3


144


8362


8664


8 9 65


9 266


9 56 7


9868


168


469


769


1068


3oi


145


i6i3b3


166-7


1967


2266


2564


2863


3i6i


346o


3 7 5S


4o55


299


146


4353


465o


4 9 4 7


5244


5541


5838


6i34


643o


6726


7022




147

US


7 3i 7
170262


7613
o555


0848


8203
1141


8497
1434


8792
1726


9086
2019


9 38o

23 1 1


96 7 4
26o3


9968

28 9 5


293


149


3i86


3478


3 7 6 9


4060


435i


4641


4g32


5222


55i2


58o2


291


150


176091


638i


6670


6 9 5 9


7248


7 536


7 825


8ii3


8401


8689


289


151


8077


9264


9 55 2


9839


126


4i3


699


986


I2 7 2


1 558


287


152


181844


2129


24i5


2700


2985


3270


3555


383 9


4123


44o 7


285


153


4691


4975


5 2 5 9


5542


5825


6108


63gi


6674


6 9 56


7 23 9


283


154


7521


7oo3


8084


8366


8647


8928


9209


9490


977 i




281


155


190332


0612


0892


1171


i45i


I73o


2OIO


2289


2567


2846


279


156


3i25


34o3


368 1


3959


4237


45i4


47Q2


5069


5346


5623


278


157


5900


6176


6453


6729


7oo5


7281


7556


7 832


8107


8382


276


158


865 7


8 9 32


9206


948i


97 55


29


3o3 "377


85o


1124


274


159


201397


1670


I 9 43


2216


2488


2761


3o33 33o5


35 77


3848


272


N.





1


2


3


4


5


6


7


8


9


D.




LOGARITHMS OF NUMBERS.



13



N.





1


2


8


4


5


6


7


8


9


D.


160


204120


43 9 i


4663


4 9 34


52o4


5475


5746


6016


6286


6556


27'


161

162


6826
9 5i5


7096
97 83


7 365
5 1


7634


7904
586


8i 7 3
853


844i

II2I


8710
1388


8979
i654


9247

1021


260

267


163


212188


2454 2720


2 9 86


3253


35i8


3 7 83


4o4 9


43i4


4379


266


164


4844 5 log 5373


5638


5 9 02


6166


643o


66 9 4


6o5 7


7221


264


165


7484


7747


8010


8273


8336


8798


9 o6o


9 3 2 3


9 585


9846


262


166


220108


0370


o63i


o8 9 2


u53




i6 7 5


i 9 36


2196


2456 261


167


2716


2976


3236


3496


3735


4oi5


4274


4333


4792


5o5i


25 9


163


53o 9


5368


5826


6084 6342


6600


6858


7 u5


7372


763o


258


169


7887


8i44


8400


865 7


8 9 i3


9170


9426


9 682


99 38


I 9 3


256


170


23o44 9


0704


0060


I2l5


1470


1724


I 9 7 9


2234


2488


2742


254


171


2 99 6


325o


35o4


3 7 5 7


4011


4264


45i7


4770


5o23


6276


253


172


5528


5 7 8i


6o33


6285


6537


6789


7041


7 2 9 2


7 544


77 9 5


252


173


8046


8297


8548


8799


9 o4 9


9 2 99


9 55o


9 8oo


5o


3oo


2 5o


174


24o54 9


0799


1048


1297


1346


I7 9 5


2044


22 9 3


254i


27 9 o


249


175


3o38


3286


3534


3782


4o3o


4277


4525


4772


Soig


5266


248


176


55i3


5 7 5 9


6006


6252


64 99


6745


6 99 i


7237


7482


7728


246


177
173


7973

250420


82I 9

0664


8464
0908


8709


8 9 54
i3 9 5


9 i 9 8
i638


9443

1881


9687

2125


9932
2368


176
2610


245
243


179


2853


3o 9 6


3338


358o


3822


4064


43o6


4548


479


5o3i


242


180


2552 7 3


55i4


5 7 55


5 99 6


623?


6477


6718


6 9 58


7198


74 3 9


241


181


7679


79i8


8i58


83 9 8


863 7


8877


9116


9 355


9594


9 833


23 9


182


260071


o3io


0348


0787


1025


1263


i5oi


1739


1976


2214


23J


183


2461


2688


2 9 25


3i62


33 99


3636


3873


4io 9


4346


4582


237


184


4818


5o54


52 9


5525


5761


5 99 6


6232


6467


6 7 02


6 9 3 7


235


185


7172


7406


7641


7876


8110


8344


8578


8812


9046


9 2 79


234


186


9 5i3


9746


99 8o


213


446


679


9 I2


1 144


i3 7 7


i6o 9


233


187


271842


2074


23o6


2538


2770


3ooi


3233


3464


3696


3927


232


188


41 58


43 8 9


4620


485o


5o8i


53u


5542


5 77 2


6002


6232


230


189


6462


66 9 2


6921


7i5i


738o


7609


7838


8067


8296


85 2 5


22 9


UK)


278754


8 9 82


9211


9439


9 66 7


9 8 9 5


123


35i


5 7 8


806


228


191


28io33


1261


1488


I7i5


I 9 42


2i6 9


23 9 6


2622


2849


3o 7 5


227


192


33oi


3527


3 7 53


3979


42o5


443 1


4656


4882


5io 7


5332


226


193


5557


5782


6007


6232


6456


6681


6 9 o5


7i3o


7354


7 5 7 8


225


194


7802


8026


824 9


8473


8696


8 9 20


9 i43


9 366


9 58o


9 8l2


223


195
196


290035

2256


0257

2478


0480
26 99


0702
2920


9 25

3i4i


1147
3363


i36 9
3584


i5 9 i
38o4


i8i3

4o25


2o34
4246


222
221


197


4466


4687


4907


5i2 7


5347


5567


6787


6007


6226


6446


220


193


6665


6884


7104


7 323


7542


7761


7979


8i 9 8


8416


8635


2I 9


199


8853


9 7 I


9289


9507


9725


9943


161


3 7 8


5 9 5


8i3


218


200


3oio3o


1247


1464


1681


i8 9 8


2114


233i


2547


2764


2 9 8o


217


201


3i 9 6


3412


3628


3844


4o3 9




44 9 i


4706


4 9 2I


5i36


216


; 202


53 5 1


5566


5781


5 99 6


6211


6425


663 9


6854


7068


7282


2l5


203


7496


7710


7924


8137


835i


8564


8778


8991


9 204


9417


2l3


204


9 63o


9 8 4 3


56


268


481


6 9 3


006


1118


i33o


1542


212


205


311754


I 9 66


2177


238 9


2600


2812


3o 2 3


3234


3445


3656


211


206


3867


4078


42 8 9


44 99


4710


4 9 20


5i3o


534o


555i


5 7 6o


210


207


5970


6180


63 9 o


65 99


68o 9


7018


7227


7436


7646


7854


20 9


203


8o63


8272


8481


868 9


88 9 8


9 io6


9 3i4


9 522


9 73o


99 38


208


209


320146


o354


o562


7 6 9


o 977


1184


?3 9 i


i5 9 8


I8o5


2012


207


210


322219


2426


2633


283 9


3o46


3252


3458


3665


38 7 i


4077


206


211


4282


4488


46 9 4


48 99


5io5


53io


55i6


6721


5 9 26


6i3i


205


12


6336


654i


6745


6 9 5o


7i55


7 35o


7 563


7767


7972


8176


204


213


838o


8583


8787


8991


9 i 9 4


9 3 9 8


9 6oi


9805


8


211


203


214


33o4U


0617


o8i 9


1022


1225


1427


i63o


i832


2o34


2236


202


215


2438


2640


2842


3o44


3246


3447


36 49


385o


4o5i


4253


202


216


4454


4655


4856


5o5 7


5 2 5 7


5458


5658


585 9


6o5 9


6260


201


217


6460


6660


6860


7060


7260


745 9


7 65 9


7 858


8o58


8257


200


218


8456


8656


8855


9 o54


9 253


9 43I




9849


47


246


I 9 Q


219


340444


0642


0841


io3 9


I23 7


1 4 5


1632


i83o


2028


2225


19*


N.





1


2


3


4


5


6


7


8


9


D.



14



LOGARITHMS OF NUMBERS.



ar.





1


2


3


4


5


6


7


8


9


D.I


220


342423


2620


2817


3oi4


3212


34o 9


36o6


38oa


3999


4i 9 6


197


221


43o2


458 9


4785


4981


5178


53 7 4


55 7 o


6766


5962


6i5 7


196 /


222


6353


5549


6744


6 9 3 9


7i35


733o


7525


7720


7 9 i5


8110


i 9 5


223


83o5


85oo


8694


8889


9 o83


9278


9472


9666


9860


54


194


224


350248


0442


o636


0829


1023


1216


1410


i6o3


1796


'989


193


225


2i83


23 7 5


2568


2761


2o54


3i47


333 9


3532


3724


3 9 i6


193


226


, 4108


43oi


4493


4685


4876


5o68


526o


5452


5643


5834


192


227


6026


6217


6408


65gg


6-790


6 9 8i


7172


7363


7554


7744


191


228


79 35


8i25


83i6


85o6


8696


8886


9076


9266


9456


9 646


190


229


9 835


25


2l5


404


5 9 3


7 83


972


1161


i35o


i53 9


189


230


361728


1917


2io5


2294


2482


2671


2859


3o48


3236


3424


1 88


231


36i2


38oo


3 9 88


4i 7 6


4363


455i


473 9


4926


5u3


53oi


1 88


232


5488


5675


5862


6049


6236


6423


6610


6796


6 9 83


7i6 9


187


233


7 356


7542


7729


7915


8101


8287


8473


8639


8845


9 o3o


186


234


9216


9401


9587


9772


9 o58


i43


328


5i3


698


883


1 85


235


3 7 io68


1253


1437


1622


i8o6


I 99 i


2175


236o


2544


2728


184


236


2912


3o 9 6


328o


3464


3647


383i


4oi5


4198


4382


4565


184


237


4748


4932


5ii5


5 29 8


548i


5664


5846


6029


6212


63 9 4


1 83


238


65 77


6 7 5 9


6942


7124


73o6


7488


7 6 70


7832


8o34


8216


182


239


83 9 8


858o


8761


8 9 43


9 I24


93o6


9487


9668


9849


3o


181


240


38o2i i


o3 9 2


0573


0754


o 9 34


in5


1296


1476


i656


i83 7


181


241


2017


2197


2377


255 7


2 7 3 7


2917


3 97


3277


3456


3636


1 80


242


38i5


3 99 5


4174


4353


4533


4712


4891


5070


5249


5428


179


243


56o6


5 7 85


5 9 64


6142


632i


6499


6677


6856


7034


7212


178


244
245


$6


7 568
9 343


7746
9520


79 23
9698


8101

9 8 7 5


8279
5 1


8456
228


8634
4o5


8811
582


4,89

75 9


178

i77


246


3 9 o 9 35


III2


1288


1464


1641


1817


1993


2169


2345


2521


176


247


2697


2873


3o48


3224


3400


3575


3 7 5i


3 9 26


4ioi


4277


176


248


4432


4627


4802


4977


5i52


5326


55oi


5676


585o


6o25


i 7 5


249


6199


63 7 4


6548


6722


6896


7071


7245


7419


7 5 9 2


7766


174


250


397940


8114


8287


8461


8634


8808


8981


9i54


9 328


9 5oi


i 7 3


251


9674


9847


20


192


365


538


711


883


io56


1228


i 7 3


252


401401


i5 7 3


1745


1917


2089


2261


2433


26o5


2777


2949


172


253


3121


3292


3464


3635


38o 7


3 97 8


4149


4320


4492


4663


171


254


4834


5oo5


5176


5346-


55i 7


5688


5858


6029


6199


6370


171


255


654o


6710


6881


7o5i


7221


7 3oi


7 56i


773i


7901


8070


170


256


8240


8410


85 79


8749


8918


9087


9257


9426


9 D 9 5


9764


169


257


99 33


102


271


440


609


777


946


1114


1283


U5i


169


258


411620


1788


I 9 56


2124


2293


2461


2629


2796


2964


3i32


168


259


33oo


3467


3635


38o3


3970


4i37


43o5


4472


463g


4806


167


260 i


414973


5i4o


53o 7


5474


564i


58o8


5974


6141


63o8


6474


167


261


6641


6807


6 97 3


7i3 9


73o6


7472


7 638


7804


797


8i35


1 66


262


83oi


8467


8633


8798


8964


9129


9 2 9 5


9460


9625


9791


1 65


263


99 56


*I2I


286


45 1


616


781


945


IIIO


I2 7 5


1439


1 65


264


421604


1768


i 9 33


2097


2261


2426


2 5 9 o


2754


2918


3o82


164


265


3246


3410


35 7 4


3 P7


3901


4o65


4228


4392


4555


4718


1 64


265


4882


5o45


5208


5i 7 i


5534


5697


586o


6o23


6186


6349


1 63


267


65n


6674


6836


6999


7161


7324


7486


7648


7811


797J


162


268


8i35


8297


845o


8621


8 7 83


8o44


9106


9268


9429


9591


162


269


9752


9914


7 S


236


3 9 8


55 9


720


88 1


1042


1203


161


270


43 1 364


i5 2 5


1 685


1846


2007


2167


2328


2488


2649


2809


161


271




3i3o


32go


345o


36io


3 77 o


3 9 3o


4090


4249


4409


1 60


72
273 !




4729

6322


4888
6481


5o48
6640


5207
6799


536 7
6 9 5 7


5526
7116


5685
7275


5844
7433


6004
7 5 9 2


Is 9


274

275


llll


7909
9491


8067
9648


8226
9806


8384
9964


8542
122


8 7 oi
279


88.19
437


9017
5 9 4


9175

7 52


1 58


276


440909


1066


1224


i38i


i538


i6 9 5


i852


200 9


2166


2323


i5 7


277
278


2480
4045


2637
4201


2793
435 7


2 9 5o
45i3


3io6
466 9


3263
4825


3419

4981


3576

5i3 7


3 7 32
52 9 3


388 9
544 9


is


279


56o4


5760


SgiS


6071


6226


6382


6037


66g2


6848


7003


i55


N.





1


2


3


4


5


6


7


8


9


D.




LOGAKfTHMS OF NUMBERS.



15






N.


1


2


S


4


5


6


7


8


9 D.


280


447158


7 3i3


7468


7623


7778


7933


8088


8242


83 97


8552


155


281


8 7 o6


8861


9 oi5


9170




9478


9 633


9787


9941


9 5


1 54


282


450249 O4o3


o557


0711


?865


1018


1172


i326


1479 I6 33


1 54


283


1 7 86


1940


20 9 3


2247


2400


2353


2706


285o


3oi2


3i65


1 63


284
285


33i8
4845


34 7 .
4997


3624
5i5o


3777
53o2


3 9 3o
5454


4082
56o6


4235
5758


438 7
6910


4540
6062


4692
6214


1 53
Ida


286


6366


6318


6670


6821


6 97 3


7.25


7276


7428 7579


773 1


152


287


7882


8o33


8184


8336


8487


8638


8789


8940


9091


9242


i5i


288


9392


9543


9 6 9 4


9 845


999 5


146


2 9 6


447


5 97


743


i5i


289


460898


1048


ii 9 8


1348


1499


1649


1799


1948


2098


2248


i5o


290


462398


2548


26 9 7


2847


2997


3i46


32 9 6


3445 35 9 4


3744


i5o


291


38 9 3


4042


4i 9 i


434o


44 9 o


463 9


4788


4 9 36 5o85


5234


149


292


5333


5532


568o


582 9


5 97 7


6.26


6274


6423 6571


67.9


149


293


6868


7016


7164


73 I 2


7460


7608


7736


7904 8o52


8200


148


294


8347


8495


8643


8790


8 9 38


9 o85


9 233


938o


9 52 7


9 6 7 5


148


295


9822


9969


116


263


410


55 7


704


85 1


998


1143


147


296


471292


I43S


i585


1732


1878


2023


2171


23.8


2464


2610


146


297


2736


2903


3o4 9


3i 9 5


334i


3487


3633


3779


3 9 25


4071


146


298


4216


4362


45o8


4653


4799


4 9 44


5o 9 o


5235


538i


5526


146


299


5671


58i6


5 9 62


6107


6232


63 9 7


6342


6687


6832


6976


145


800


477I2I


7266


7411


7555


7700


7844


7f9


8i33


82 7 8


8422


145


301


8566


8711


8855


8990


9143


9287


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Online LibraryEdward OlneyElements of trigonometry, plane and spherical → online text (page 11 of 28)