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U. S. and British Weights and Measures Compared

Source: United States Bureau of Standards British Imperial bushel = 1.03205 U. S. (Win- U. S. yard are slightly different. chester) bushel.

A meter equals 39.37011 British inches, or 39.37 U.S. bushel = 0.96895 British Imperial bushel. United States inches. The value of the Inch never British quart = 1.03205 U. S. dry quarts.

has been fixed by Congress U.S. dry quart = 0.96895 British quart.

The foot came from the length of the king's foot: British quart (or gallon) = 1.20094 U. S. liquid

the old cubit was the length of a forearm; the grain

came from the weight of a single grain of wheat quarts (or gallons).

"well dried from the middle of the ear''; and the U. S. liquid quart (or gallon) = 0.83268 British

inch originated as the thickness of a man's thumb. quart (or gallon).

Traditionally the acre was the area of ground that The British gallon, under the act of 1878, is

a plowman with one ox could turn over in a day. defined as the volume of 10 standard pounds of

Often, neighboring countries assigned slightly distilled water weighed in air against brass weights,

| different lengths to the same unit, such as the foot both air and water at 62 degrees Fahrenheit with

-- which might equal any length from 11.3 to 14 the barometer at 30 inches.

inches. The Greeks recognized three different feet, The British gallon contains 277.420 British which were used for three different purposes. In cubic inches (277.418 U. 8. cubic inches); and 8

pre-Elizabethan England, the gallon depended upon gallons makei Imperial bushel 2219.36 British the usage, that for wine being considerably smaller cubic inches (2219.34 U. S. cubic Inches).

than the standard for ale. dierence between the British inch and the The height of horses is measured in hands and U.S. inch comes from the fact that the equivalents their weight in stones: paper by the ream, which of the metre in terms of the British yard and the 'may be 480 or 500 sheets.

Bushel Weights in Pounds

Source: United States Bureau of Standards United States--Federal law for duties on imports for Climax baskets for grapes and other fruits and -Apples (green or ripe)50: barley. 48; corn vegetables of the following capacities: 2, 4, and 12 (cracked). 56; corn (shelled), 56; flaxseed (lin

quart, standard dry measure. This act is interstate seed), 56 oats (hulled or unhulled), 32; peas, in application. 60: rye, 56; wheat, 60.

The Standard Container Act of 1928 fixes standDry measure in the United States is based on the

ards for hampers, round stave baskets, and splint old English Winchester bushel. Both Federal and

baskets for fruits and vegetables. The standard State laws fix the bushel as a unit of 2150.42 cubic

hampers and round stave baskets shall be of the inches. Where commodities are actually measured following capacities: 16. 14, 19, s. 34. 14. 142 and in bushel measures, it is customary for the measure 2 bushels. to be heaped in the case of bulky commodities such

The standard splint baskets shall be of the as apples, pears, potatoes, onions, etc.

following capacities: 4, 8, 12, 16, 24 and 32 quart. The United States Court of Customs Appeals

standard dry measure. decided in February, 1912, that a "bushel" under

For the purpose of this act a bushel, standard the tariff law means a heaped bushel, and that a

dry measure, has a capacity of 2,150.42 cu. in., and heaped bushel should contain 2747.715 cubic inches. Under this decision a heaped bushes is 27.8 per cent

& quart, standard dry measure, has a capacity of

67.2 cu. in. This act is intrastate as well as larger than a struck bushel. 1 The Federal Standard Container Act of 1916 fixes

interstate in application. standards for baskets and other containers for

The U. S. standard barrel for fruits and vegesmall fruits, berries, and vegetables of the follow

tables (except cranberries) has a capacity of 7,056 ing capacities: 16 bint 1 pint. l quart or inultiples | cu. in.; the U. S. standard barrel for cranberries of the quart, standard dry measure; and standards has a capacity of 5,826 cu. in.

A cord of wood contains 128 cubic feet. The full, or 2 "measuring cups." standard size of a piled cord of wood is 8 feet long, A tablespoonful equals 3 teaspoonfuls; & teaby 4 feet wide, by 4 feet high.

spoonful equals 80 drops. The equivalent is someA board foot is 1 ft. x 1 ft. x 1 in.

times given as, one tablespoonful equals 4 teaHousekeeper's Measure-A 1-qt. measure holds spoonfuls, thus reducing the teaspoonful to 60 drops. 1 lb. of wheat flour, soft butter or broken loal Milk, at 68° Fahrenheit, weighs 8.60 lbs. & gallon sugar: 1 lb. 2 oz. of corn meal or brown sugar: 1 provided it contains 3 per cent of butter fat; cream Ib. 1 oz. of powdered white sugar.

8.37 lbs. & gallon, if it has in it 28 per cent of There are, as a rule, 10 eggs to a pound.

butter fat. When cream contains 40 per cent of A pint contains 32 tablespoonfuls or 2 tumblers- I fat it weighs 8.28 lbs. & gallon.

Electrical Units

Source: United States Bureau of Standards The watt is the unit expressing electrical power power or inversely 1 kilowatt (kw) is equal to about as horsepower (hp) represents power in mechanics, | 135 horsepower. it is equal to the product of the volts (pressure) The horsepower represents the power required times amperes (rate of flow). Thus, 2 volts times to lift a weight of 33,000 pounds 1 foot in 1 minute 2 amperes would give in a direct current circuit 4 or 550 pounds 1 foot in 1 second. watts. Electrical energy is sold at so much per The ohm is the unit of electrical resistance and watt hour or more generally at a given amount represents the physical property of a conductor per kilowatt hour-which means 1,000 watt hours, which offers a resistance to the flow of electricity. This may represent l watt for 1,000 hours or 1,000 permitting just l ampere to flow at i volt of preswatts for 1 hour. 746 watts are equal to one horse- ! sure.

Roman and Arabic Numerals

Source: Historical Records
6/XI.... XVI......16, XXX.....30 LX

.30 LXXX...80CCCG...400 CM ..... 909 ..2VII. .7 XII.... XVII.....17) XL.......40 XC .....90|D.......500 M .....1000 .3 VIII. .8 XIII...

III....18L.. .50 C.......100/DC......600/MCM. 1900 IV.. .4 IX... .9 XIV...... 14 XIX...

..60 CC......200 DCC....700 MM...2000 .........9

.......101 XV.......151 XX......20 LXX.....70CCC.... 300 DCCC. .800 NOTE-A dash line over a numeral, multiplies the value by 1,000: thus, X=10,000; L=50,000; T100.000: B-500,000; M=1,000,000; CLIX=159,000; DLIX=559,000.

Other general rules in Roman numerals are as (3), a letter placed before one of greater value subfollows: (1), repeating a letter repeats its value- tracts therefrom-IV-14. XX=20; CCC=300; (2), a letter placed after one Arabic numerals are those now commonly in use of greater value adds thereto-VI-6: DC-600; 1-0, 1, 2, 3, 4, 5, 6, 7, 8, 9, etc.

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Medical Signs and Abbreviations

R (Lat. Recipe), take; lá, of each: D, pound; 3 Haust.. let a draught be made; Ad., add to: Ad llb.. ounces: 3, drachm; , scruple; m, minim, or drop.

at pleasure; Ag.. water; M., mix; Mac., macerate: O or o. pint; 13, frid ounce; 13. fuld drachm; as,

Pulv., powder; Pil., pill: Solv., dissolve; St., let It

stand; Sum., to be taken; D. dose; Di., dilute; ss, half an ounce; % I, one ounce; igs, one ounce

Filt.. Alter; Lot., Wash; Garg., & gargle; Hor. and a half; ? I), two ounces: gr.. grain; Q. S., as much Decub., at bed time; Inject., injection; Gtt., drops: as sufficient; Ft. Mist., let a mixture be made: Ft. Is, one-halt: Ess., easence.

Foreign Weights and Measures
Source: United States Bureau of Standards, as of 1933

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Almude.

Last.

Germany......... .. Portugal..........14.422 gaks.

2 metric tons. Ardeb.... Egy pt........ ... 5.6188 bu.

(4,409+ lbs.) Metric. Are.. ... 10.02471 acre.

Prussia...

112.29 bu Arr't'l or ra Portugal... 11.0119 lbs.

Scotland, Ireland. 182.564 bu. Arroba...... Argentine Republic 25.32 lbs.

League (land Paraguay......... 14,633 acres. Brazil.. .32.38 lbs.

China.........

1,890 ft.

:
Cuba......
.. 125.36 lbs.

Argentine Republic 1.0128 lbs.
Paraguay......... 125.32 lbs.

Certral America... |1.014 lbs.
Venezuela... 125.40 lbs.

Chile..

1.014 lbs. " (liquid) Cuba, Spain and

Cuba.

1.0143 lbs. | Venezuela....... 14.263 gals.

Mexico..

1.01467 lbs. Arshine. .. Russia...........128 in.

Peru..

1.0143 lbs. (sq.).

Uruguay...

1.0143 lbs. ...........15.44 8. ft. Artel......... Morocco... 11.12 lbs.

Venezuela.

1.0143 lbs. Baril......... Argen Argentine Republic 20.077 gals.

Metric

11.0567 liq. qts. and Mexico......20.0787 gals.

Metric......

0.90810 dry qts Barrel....... Malta (customs). 11.2 gals.

(lb.).... Greece....

1.1 lbs. Berkovets.... Russia .361.128 lbs.

Gulana (Dutch).... 1.089 lbs. Bongkal... Fed. Malay States..832 grains,

Load, timber England. .......

50 cu. ft. Bouw.... Sumatra..........

17.096.5 sq. metra. Lumber (std.) in Europe. ........ 165 cu. ft., or Bu.

1,980 ft. b. m Japan....

..0.12 inch Bushel British Empire. ... 11.03205 U. S. bul Manzana....

1.742 acres. Caffiso....... Malta............ 5.40 gals.

Costa Rica, Salv'd'r 1.727 acres. Candy India (Bombay)... 569 lbs.

Marc.... Bolivia....

10.507 lb. India (Madras)... 500 lbs.

Maund...... India...

82 2-7 lbs. Cantar Egypt..........

99.05 lbs,
Metre.... Metric...

39.37 inches Morocco.....

112 lbs.

Mil
Denmark.

4.68 miles
Turkey..... ..124.45 lbs.

(geographic)
Denmark......

14.61 miles. Cantaro... Malta....

175 lbs.

Milla ........
Nicaragua..

1.1594 miles. Cast, Metric, World.. 13.086 grains.

Honduras..

1.1493 miles, Catty........ China... ..11.333 lbs. Mina (old): Greece..

2.202 lbs. Japan....

1.32 lbs.

Morgen......
Prussia.

10.63 acre.
Java, Malacca.. 1.36 lbs.

Egypt...

.2.8052 lbs.
Siam...
234 lbs.

(Ocque)..
Greece..

2.82 lbs.
Siam.............
1.32 lbs.

2.828 lbs.
Sumatra.......... 12.12 lbs.

Pic
Egypt.....

22.83 Inches, entaro Central America .. 4,2631 gals.

Picul

Borneo & Celebes.. 135.64 lbs. ntner. Brunswick........ 117.5 lbs.

China............

133% lbs.
Bremen...
127.5 lbs.

J&V&............ 136.16 Ibe.
Denmark, Norway.110.23 lbs.

Philippine Islands 139.44 lbs.
Prussia.....
113.44 lbs.

Argentine Republic 0.94708 foot.
....Sweden.
93.7 lbs.

Spain............

0.91416 foot.
Sweden...........
Double or metric.. 220.46 lbs,

Pik
Turkey...........

27.9 inches, Chetvert.....RU Russia

5.957 bu.

Pood..
Russia.....

36.113 lbs. Ch'ih........

12.60 Inches. Pund (ib.).

Denmark...
China............

1.102 lbs.
(metric) China.
1 meter.

British Empire. ...1.20094 liq. qt. ... Japan.. 12.451 acres.

1.03205 dry it. Comb... England.. ..4.1282 bu.

Ouarter.....

18.266 bu.

Great Britain..... Coyan.. Slam....

2.645.5 lbs. Quintal, . Argentine Republic 101.28 Ibs, Cuadra...... Argentine Republic 4.2 acres.

Brazil.........

129.54 lbs.
Paraguay.. ..
..94.70 yds.

Castile, Peru... 101.43 lbs.
)... Paraguay..... (1.85 acres.

Chile...

101.41 lbs.
Uruguay..........
1.82 acres.

Mexico.

101.47 lbs. Cubic meter. Metric..... ..35.3 cu. ft.

Metric.

220.46 Ibs. Cwt. (hund.

Rottle
Palestine (8

6.35 lbs. weight)..... British ...........

112 lbs.
Sack (flour).. England

280 lbs.
Dessiatine... Russia........
2.6997 acres. Sagene....... Russia.....

17 feet. Dr'c'ma (new Greece 15.43gr.. origrm. Salın.

Malta

8.2 bu. Fanega (dry) Ecuador, Salvador, 1.5745 bu,

Se....... Japan..

0.02451 acre.
2.75268 bu.
......Chile.

Seer.....
India

22-35 lbs.

Shaku....... ...... Guatemala, Spain. 1.53 bu.

Japan..

11.9303 Inches, Mexico

2.57716 bu
Sho...

| 1.91 liq. Quarts. " (double Uruguay.

7.776 bu.
Skalpund....Sweden...

0.937 lbs. " (single) Uruguay ...

3.888 bu.
Stone........ British ...

14 Ibs.
Venezuela

3.334 bu

Sun
Japan..

1.193 inches. (liquid) Spain.......

16 gals.
Tael Kuping China.....

575.64 grs. (troy) Feddan...... Egypt........

1.04 acres.
Tan.......... Japan.....

0,25 scre. Frail (rais's) Spain.

50 lbs.
Tchetvert.... Russia.

5.96 bu. Frasco... ...Argentine Republic 2.5098 liq, qts.

TO...

2.05 pecks,

Japan
Mexico........

2.5 liq. Qis.
Ton..........Space measur

40 cu. ft. Frasila .Zanzibar...... 35 lbs.

Tonde ce'als Denmark...

3.9480 bu. Fuder .. Luxemburg ... 264.18 gals.

Tonde Land.

1.36 acres. Funt..... Russia........

0.9028 lb.

Tonne
France..

2204.62 lbs. Gallon .. British Empire 1.20094 U.S. gallTsubo.... .. Japan.....

35.58 sq. ft. Garnice...... Poland.....

1.0567 gal
Tsun........ China.....

1.26 Inches. Gram ....... Metrlo........... 15,432 gralns, Tunna Hectare......

2.471 acres.
(wheat Sweden ..........

4.5 bu.

Tunoland....
Hectolitre:

1.22 acres.
Dry
2.838 bu.

Argentine Republic34.0944 inches.
Liquid
26.418 gals.

Cost. Rica, Saly'd'r 32.913 inches. Jarib........ Persis (New).....12.471 acres.

Guatemala..... 32.909 Inches, Joch. ........ Austria (Germany) 1.422 acres,

Honduras...... 32.953 inches. .... Hungary...... 1.067 acres.

... Nicaragua.... 33.057 Inches, Ken.... .. Japan........ 5.97 leet.

Chile and Peru 32.913 inches. Killg'am kilo Metric..... .12.2046 lbs.

Cuba

33.386 luches, Kilometre...

0.62137 mile.

Mexico....

32.992 incbes. Klafter...... Austria (Germany) 2.074 yds.

Vedro. ... Russia....

2.707 gals. Koku.... ... Japan......

5.119 bu.
Verst.

0.663 mile. Kwamme ... Japan.,

18.2673 lbs.

Vloka,..
Poland

41.50 acres Last..... ... Belgium, H d..85.134 bu.

Wey

Scotland & Ireland 41.282 bu. Last......... England....

..182.56 bu. The metric carat of 200 milligrams is now very | the proportion of alloy in & metal. Thus, pure generally in use. The word also is used to denote l gold is 24 carats fine.

Multiplication and Division Table A number in the topline (19) multipiled by a ber at the top of that column (19) results in the number in the last column on the left (18) pro- number (18) at the extreme left; also, a number in duces the number where the top line and the side the table (342) divided by the number (28) at the line meet (342), and so on throughout the table. I extreme left gives the number (19) at the top of A number in the table (342) divided by the num-the column, and so on throughout the table.

8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 19 20 21 22 23 24 25

2

13

| 80 85 90 95 100 105 110 115 120 125

| 841 901 96/102 108 114 120 126/132 138|1441501 77 84 91 98|105/112 119 126 133|140 147|154/1611168|175 88 96 104|112 120128/136/144 152 160 168 176/184/192/2001

99/108/117|126|135 144|153|162 171/180 189|198/207121612251 90 100 110 120 130 140 150 160 170 180 190/200 21012201230124012501 77 881 99 110 121 132 143 164 165 176 187|198 209/220/2311242253 264 275l 11 841 96 108 120/132/144|156|168 180|192 204|2162282402521264276288/3001 12 91 104|117 130 1 43|156169|182 195/208/2211234/247260 273286/299/31213251

98 112 126|140 54|168|182 196/210/224/238/252 266280/294/308 322 3363501 14 90 105 120135150 165 180 195 210 225 240 255 270 80 96 112 128 144 160 176/192208 12401256/272/288 304 320)3361352136813841400l 16 | 85 102 119 136 153 170 187204 221 255 272 289 306 323 340 357 374 391 408 4251 1 90 108 126 144 162 180 198 216 234 270 288 306 324 342 360 378 396 414 432 450 195/1141133|152 171 190 2090228|247 266 285/304/323/342\361\380|3991418|4371456475) 80 100 120/140 160 180 200 220 240 260/280 200 320 340 360 380 400 420 440 460 4801 5001 84 105/126/147/1681189/2101231/2521273294 315/336)3571378/399|4201441 462 4831504525

88 110 132 154 176 198 220 242 264 286 308 330 352 374 396 418 440 462 484 506 628550 22 69 92 115 138 161 184 207230 253 276 299 322 345368391 414 437460 483 506 529 552 575

72 96 120 144 168 192 216 240 264288312 336 360 384|408432456 480 504 528/552 57616001 50 75 100 125 150 175 200 225 250 275 300 326 350 375 400 425 450 475 500 525 550 575 600) 625

20

21

23

25

| 2 | 3 | 4 | 5 | 6

| 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 |

Squares, Square Roots, Cubes and Cubic Roots of Nos. 1 to 100 No.

No. Sq. ' Cube (Root Root No. 1 sq. ) Cube (Root Root

Sa. Cube
Cube Root Root

| Sq. Cube

Sa.

1225

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1.000 1.000 1.000 1.000

8 1.414 1.259 27 1.732 1.442 84 2.000 1.687

2,236 1.710||| 216 2.449 1.817 343 2.645 1.913 512 2.828 2.000

729 3.000 2.080 100 1000 3.162 2.154 121 1331 3.3162.224 144 17281 3.464 2.289 169 2197 3.605 2.351 1961 2744 3.741 2.410

3375 3.873 2.466 256 4096 4.000 2.519 289 4913 4.123 2.571 324 5832 4.242 2.620 361

6859 4.358 2.668 400 8000 4.4722.714 441 9261 4.582 2.758 484 106481 4.690 2.802 529 121671 4.795 2.843 5761 13824 4.899 2.884 6251 15625 5.000 2.924 676 17576 5.099 2.962 729 19683 5.196 3.000 784

21952 5.291 3.036 841

24389 5.385 3.072 9001 270001 5.4773.107 961) 29791 5.5673.141 1024 32768 5.656 3.174 1089 35937 5.744 3.207 1156139304 5.83113.239

42875 5.916 3.271 68
12961 46656 6.000 3.301
13691 50653 6.0823.332
1444 54872 6.164 3.362
1521] 59319) 6.245 3.391
16001 64000 6.324 3.420
16811 68921 6.403 3.448
1764 74088 6.480 3.476
1849 79507 6.567 3.503
1936 85184 6.633 3.530
20251 91125 6.708 3.556
211697336 6.7823.583
2209 1038231 6.855 3.608
23041 1105921 6.928 3.634
2401 117649 7.000 3.659
2500 125000 7.071 3.684
2601 132651) 7.141 3.708
2704 140608 7.211 3.732
2809 148877 7.280 3.756
2916 157464 7.348 3.779 87
3025 166375 7.416 3.803
3136) 175616 7.483 3.825
3249 185193 7.5493.848 90
3364 195112 7.615 3.870
3481] 205379 7.6813.893 92
36001 216000 7.746 3.914
3721 226981 7.810 3.936
3844 238328 7.874 3.957
3969 2500471 7.937 3.979
40961 262144 8.000 4.000
4225 274625 8.062 4.020
4356 287496 8.124 4.0411
4489 300763 8.185 4.061 | 100

4624 3144321 8.246 4.081 4761 328509 8.306 4.101 4900 3430001 8.366 4.121 5041 357911 8.426 4.140 5184 373248 8.485 4,160 5329 389017 8.544 4.179 5476 405224 8.602 4.198 5625 4218751 8.660 4.217 5776 438976 8.717 4.235 5929 450533 8.775 4.254 6084 4745521 8.831 4.273 6241 493039 8.888 4.290 64001 512000 8.944 4.308 6561 531441 9.000 4.326 6724 551368 9.055 4.344 6889 5717871 9.110) 4.362 7056) 5927041 9.1664.379 7225 614125 9.2194.398 7396! 636056) 9.273 4.414 75691 658503 9.3274.431 7744 681472) 9.380 4.448 7921 704969 9.434 4.464 8100 729000 9.486 4.481 8281 753571 9.539 4.497 8464 778688 9.591 4.514 8649 804357 9.643 4.530 88361 830584 9.695 4.546 9025 857375 9.746 4.562 9216 884736 9.798 4.578 9409 912073 9.848/4.594 96041 9411921 9.899 4.610 9801 970299 9.949 4.626 10000 1000000 10.000 4.641

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Areas of Circles To find the circumference of a circle multiply the or depth. Thus, a pipe 1 foot in diameter and i diameter by 3.14159265 (commonly expressed as foot in length contains .7854 cubic feet. To find 3.1416). To find the area of a circle multiply the how many gallons are contained in & pipe or square of the diameter by 785398 (usually ex-cylinder, divide the cubic contents by 231, which is pressed as .7854). To find the cubic contents of the number of cubic inches in a United States cylinder or pipe, multiply the area by the height gallon.

CIRCLE AREAS IN EIGHTHS OF A UNIT Diam- Ci'm

Diam- Ci'm

Area
i Diam- Ci'm-

11 Diam- Ci'm-1
eter |ference
eterference

Areal eter ference

eterference 1-32.09817 .0007 9-16 1.76715 .2485

3.141591 .7854|| 2 6.28319 3.1416 1-16 119635 .0030 19-32 1.86532 .2768 1-163.33794 .8866 3-16 6.87223 3.7583 3-32 29452

.0069: 21-322.06167! .3382 3-163.73064 | 1.1075 5-167.26493 4.2000 3-16 58904 .0276 11-16 2.15984 .3712|| i 5-164.12334 1.3530 7-16 7.65763 4.6664 7-32 .68722 .03751 23-322.25802 .4057| 1 7-164.51604 1.6230 9-168.05033) 5. 1572 9-32 .88357 .0621 25-32 2.45437 .4793|| 1 9-164.90874 1.9175|| 2 11-16 8.44303) 5.6727 11-321.07992 .0928

5591ll i 11-165.30144) 2.2365|| 2 13 168.835731 6.2126 13-3211.27627 1296 29-322.847071 .645011 i 13-16'5.69414 2.580211 2 15-16'9.22843 6.7771 A square is equal in area to a circle when the side equals 1.12838 multiplied by the side of the square. of the square equals 0.88623 multiplied by the diam-. Any straight line extending from the centre of eter of the circle; or when the diameter of the circle a circle to the circumference is called a radius.

Square Roots and Cube Roots, 1000 to 2000

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35.50

1000 1005 1010 1020

38.92

31.62 31.70 31.78 31.94 3202 32.09

42.01
42.07
42.13

38.99

12.09 12.10 12.11 12.13 12.14 12.15

1025

35.85

39.18 39.31

32.17

12.16

12.19

39.62

WWNNNNNNNNNNNN

12. 20 12.22 12 23 12.25 12.26

13.01

11.07

43. 13
43.19
43.24
43.36

12.30 12.32

10.35

43.30

40.37

10.00 10.02 10.03 10.07 10.08 10.10 10.12 10.15 10.16 10.20 10.21 10.24 10.26 10.28 10.29 10.31 10.32 10.34 10.37 10.38 10.42 10.43 10.45 10.46 10.48 10.49 10.51 10.52 10.54 10.55 10.57 10.58 10.60 10.61 10.63 10.64 10.66 10.67 10.69 10.70 10.73 10.76

1030 1035 1045 1050 1060 1065 1075 1080 1085 1090 1095 1100 1105 1110 1115 1120 1125 1130 1135 1140 1145 1150 1155 1160 1165 1170 1175 1180 1185 1190 1195 1200 1 205 1210 1215 1220 1225 1235 1245

Square Cube ||
Root Root No.
35.43 10.79 1510

10.80 1515
35.57 10.82 1520
35.71 10.84 1530
35.78 10.86 1535

10.87 1540 35.92 10.89 1545 36.06 10.91 1555 36.12 10.93 1560 36.26 10.96 1570 36.33 10.97 1575 36.47 11.00 1585 36.54 11.01 1590 36.61 11.02 1595 36.67 11.04 1600 36.74 11.05 1605 36.81

1610 36.88 11.08 1615 36.95 11.09 1620 37.01 11.11 1625 11.12

1630 11.13 1635 11.15 1640 11.16 1645 11.17 1650 11.19

1655 11.20 1660 11.21 1665 11.23 1670 11.24 1675 11.25

1680 11.27 1685 11.28 1690 11.29 1695

11.31 1700 38.08 11.32 1705 38.14 11.33 1710 38.21 11.34 1715 38.28 11.36 1720 38.34 11.37 1725 38.41 11.38 1730 38.47 11.40 1735 38.60

1745 38.73

1755

1255 1260 1265 1275 1280 1285 1290 1300 1305 1315 1320 1330 1335 1340 1345 1350 1355 1360 1365 1370 1375 1380 1385 1390 1395 1400 1405 1410 1415 1420 1425 1430 1435 1440 1445 1450 1455 1460 1465 1470 1475 1480 1490 1500

(Square Cube

Root Root
38.86 11.47

11.49

11.50 39.12 11.52

11.54 39.24 11.55

11.56 39.43 11.59

11.60 39.62 11.62 39.69 11.63 39.81 11.66 39.87 11.67 39.94 11.68 40.00 11.70 40.06 11.71 40.12 11.72 40.19 11.73 40.25 11.74 40.31 11.76

11.77

11.78
40.50 11.79
40.56
40.62
40.68 11.83
40.74 11.84
40.80 11.85
40.87 11.86
40.93 11.88
40.99 11.89
41.05 11.90
41.11 11.91
41.17 11.92
41.23 11.93
41.29 11.95
41.35 11.96
41.41 11.97
41.47 11.98
41.53 11.99
41.59 12.00
41.65 12.02
41.77 12.04
41.89 2.06

40.44

32.33 32.40 32.56 32:83 32.79 32.86 32.94 33.02 33.09 33.17 33.24 33.32 33.39 33.47 33.54 33.62 33.69 33.76 33.84 33.91 33.99 34.06 34.13 34,21 34.28 34.35 34.50 34.57 34.64 34.71 34.79 34.86 34.93 35.00 35:28

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12.31 12.33 12.34 12.35 12.36

2.37 12.39 12.40

1765 1770 1775 1785 1790 1795 1800 1810 1815 1825 1830 1840 1845 1850 1855 1860 1865 1870 1875 1880 1885 1890 1895 1900 1905 1910 1915 1920 1925 1930 1935 1940 1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000

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43.59
43.06
43.70
43.76
43.82
43.87
43.93
43.99
44.05
44.10
44.16

12.42 12.43 12.45 12.46 12.47 12.48 2.49

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44.22

2.50

44.27

12.54

44.33
44.38
44.44
44.50
44.55
44.61
44.67
44.72

12.51 12.53 12.55 12.56 12.57 12.58

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12.60

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Factors are such numbers as multiplied together will produce & required number.

A Prime Number is one that cannot be resolved into two or more factors; or, it is a number exactly divisible only by itself and unity. A Composite Number is one that can be resolved into factors.

TABLE OF PRIME NUMBERS FROM 1 TO 1000
139
233
439

653 769 883
149
239
347

563
659

773 887
151
241
349
449
569

787

907 251 353 457 571 673 797 911 163 257 359

461
577 677

809

919 167 263 367 463 587

683

811 929 173 269 373 467 593

691 821 937
179
271 379 479

599
701

941
181
277 383 487
601 709

947 191 281 389 491 607 719

953
103
193

397
499
613

967
107
197
293
401
503
617
733

971 109 199 307 409 509 619 739

977
113
211 311

419
521
631

743 859 983
127
223
313
421
523
641
751

991 131 227 317 431 541 643 757

997 137 331 433 547

647

881

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129

131

137

131

148

154

50-54

148

6' 1

151

146

15

173

178

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Average Height and Weight of Men and Women

Source: Life Insurance Medical Directors and the Actuarial Society of America The weights are with shoes on, and usually with coat and vest, which weigh from 3 to 7 pounds MEN

WOMEN Age Hgt. 1 Note:

Hot.I Hgt. Hot. Hot наt Hgt. Hgt. Hgt. Het Group 5. 3

11

5' 1" 5' 2" 5' 3" 5 Wet. Wgt. \ Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. 15-19 108 111 114 118

122
126 130

134

105 107 110 113 116 119 123 15-19 113 115 118 121 124 128 132

136
110 112 114

117
120 123

126 20-24 119 121 124 127 131 135 139 142 113 115 117 120 123 126 129 25-29 124 126 128 131 134 138 142 146 116 118 120 122 125 129 132 30-34 127

134
141 145 149

119
121 123 125

128

132 137 35-39 129 133 136 140 144 152 122 124 126 129 132 136

140 40-44 132 134 136 139 142 146 150

126 128 130 133 136 139 143 45-49 134 136 138 141 144 148

156 129

131

133 136 139 142 146 135 137 139 142 145

153 157 | 131 133 135 138 141
5' gul
5' 10-15' 11"

6' 2" 6' 3" 5' 6" 5' 7" 5'8" 5' 95'10" 5'11" 6 15-19 138 142 146 151 156 161 | 166 171 127 131 135 139 143 147 15-19 140 144 148 153 158 | 163

168
173 130 134 138 141 145 150

155 20-24 150 163 168 133 137 141 145

149

157 25-29 150 154 15€

169
181 187 136 140

148 152 30-34 154 158 163

174
186 192

144 148 152 155 158 162 35-39 157 162 167

178

191 197 144 148 152 156 159 162 165 159 164 169 175

181
187 194 201

151

159
162

166 189 45-49 161 166 171 177 183 190 197 204 || 151 155 169 163 166 170 173 50-54 162 1671 172 | 178 | 184 | 191 | 198 205 II 152 157 162 166 170 174 177

The figures in the above tables (except the top 15-19 line in each table) are taken from the "Medico-Actuarial Mortality Investigation" published in 1912.

A similar investigation was made in 1929 jointly by the Actuarial Society of America and the Association of Life Insurance Medical Directors and reported in the Medical Impairment Study" (1929)..

The data from this study agreed so closely with those of the previous one that changes in the table were recommended for only those ages below 20.

Accordingly, the figures in both tables (except those in the top 15-19 lines in each table) represent the results of the 1912 and 1929 ir.quiries.

WEST POINT CADET MEASUREMENTS
Chest measure

Chest measure
Weight at expiration

Weight at expiration
Age
Hgt,

Hgt.
Stand- Mini- | Stand - Mini-

Age

Stand - Mini- Stand - Miniard mum ard mum

ard mum ard mum pounds pounds) Inches | inches

pounds pounds] Inches inches

158 163

144

159

108

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THE ORGANS OF THE HUMAN BODY
Source: Arthur MacDonald, Anthropologist, Washington, D. O.
Grams Ounces Per Ct.
Grams Ounces Per Ct.ll

Grams Ounces Per Ct.

Brain 1,400 4

2.37 Spleen. 1701 Heart 300

0.46 Liver... 11,000 Lungs! 1,1761 41 2.0 (Kidneys 3001

Per cent. means ratio to total body weight.

0.346
2.75
0.44

| Adrenals. 101 0.35
Muscles.. 30.000 1,050
I Skeleton 1 11.500 400

0.014 43.09 15.35

10.5

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