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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 quarts (or gallons).

came from the weight of a single grain of wheat U. S. liquid quart (or gallon) = 0.83268 British

"well dried from the middle of the ear''; and the

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 distilled water weighed in air against brass weights, different lengths to the same unit, such as the foot

Often, neighboring countries assigned slightly both air and water at 62 degrees Fahrenheit with the barometer at 30 inches.

-which might equal any length from 11.3 to 14

inches. The Greeks recognized three different feet, The British gallon contains 277.420 British which were used for three different purposes. In cubic inches (271.418 U. 8. cubic inches); and 8 pre-Elizabethan England, the gallon depended upon gallons make 1 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. The difference 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

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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), 56Oats (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: 46, 4, 13, 56, 34, 144. 114 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 , , onions, etc. The United states Court of customs Appeals following capacities: 4, 8, 12, 16, 24 and 32 quart,

standard dry measure. decided in February, 1912, that a "bushel" under the tarif law means a heaped bushel, and that a

For the purpose of this act a bushel, standard heaped bushel should contain 2747.715 cubic inches.

dry measure, has a capacity of 2,150.42 cu. in., and Under this decision a heaped bushes is 27.8 per cent

a quart, standard dry measure, has a capacity of

67.2 cu. in. larger than a struck bushel.

This act is intrastate as well as 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: 15 pint, 1 pint, 1 quart or multiples 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; a 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 loaf Milk, at 68° Fahrenheit, weighs 8.60 lbs, a gellon 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- 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, 115 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 & 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 1 watt for 1,000 hours or 1,000 permitting just 1 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 1 VI

XI.. 11 XVI... 16/ XXX.. .30 LXXX...80 CCCC...400 CM 900 II 2 VII,

XII. 12 XVII 17 XL. 40 XC 90 D.. 500 M 1000 III 3 VIII 8 XIII 13 XVIII....18 L.

50 C... 100DC. 600 MCM., 1900 IV

IX

9 XIV .14 XIX 19 LX. 60 CC. .200 DCC 700 MM...2000 X.

101xv.. 151 XX......20 LXX. ..70 CCC....300 DCCC. .800 NOTE-A dash line over a numeral, multiplies the value by 1,000: thus, X=10,000; L=50,000; T= 100,000; 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-24. 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; -0, 1, 2, 3, 4, 5, 6, 7, 8, 9, etc.

Medical Signs and Abbreviations R (Lat. Recipe), take; iä, of each; D, pound; 3 Haust., let a draught be made; Ad., add to: Ad lib., ounces: 3, drachta; D. scruple; m. minim, or drop.

at pleasure: Ag.. water; M., mix; Mac., macerate: ( or o. pint; 1 }, fud ounce; 13, duid drachm; as,

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

stand; Sumn., to be taken; D. dose; DII., dilute; 'j s, half an ounce; } l. one ounce; 3 199, one ounce Filt., filter; Lot., a wash; Garg., a gargle: Hor. and a half; } i), two ounces: gr., grain; Q. 8., as much Decub., at bed time: Inject., injection; Gtt., drops: sus sufficient; Ft. Mist., let a mixture be made; Ft. ss, one-halt; Ess., ensene.

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Litre

Almude... Portugal

4.422 gak.

Last...
Germany....

2 metrie tons. Ardeb.. Egypt. 5.6188 bu.

(4,409 + lbs.) Are Metric 0.02471 acre.

Prussis.

112.29 bu Arr't'I or Il'ra Portugal. 1.0119 Ibs.

Scotland, Ireland.. 82.564 bu. Arroba. Argentine Republic 25.32 lbs. League (land) Paraguay

4.633 acres.
Brazil..
32.38 Ibs.

LI,
China.

1.890 ft.
Cuba..
125.36 lbs.

Libra (lb.).... Argentine Republic 1.0128 Ibe.
Paraguay
25.32 lbs.

Certral America. .. 1.014 lbs.
Venezuela
25,40 lbs.

Chile...

1.014 lbs. (liquid) Cuba, Spain and

Cuba.

1.0143 lbs. Venezuela. 4.263 gals.

Mexico.

1.01467 Iba. Arshine. Russia. 28 in.

Peru..

1.0143 lbs.
(sq.).
5.44 sq. ft.

Uruguay

1.0143 lbs. Artel. Morocco 1.12 lbs.

Venezuela.

1.0143 lbs. Baril Argentine Republic 20.077 gals.

Metric.

1.0567 liq. qts. and Mexico 20.0787 gals.

Metric..

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

Livre (lb.).... Greece.

1.1 lbs. Berkovets. Russia 361.128 lbs.

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

Lond, timber England.

50 cu. ft. Bouw.. Sumatra. 7,096.5 sq. metry. Lumber (std.) in Europe.

165 cu. ft. or Bu,

1,980 ft. b. m Japan

0.12 inch, Bushel. British Empire. 1.03205 U. s. bu Manzana

Nicaragua

1.742 acres. Caffiso. Malta 5.40 gals.

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

Marc
Bolivia.

0.507 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.

4.61 miles. Cantaro Malta.

175 lbs.

Milla.
Nicaragua.

1.1594 miles. Cast, Metric. World, 3.086 grains.

Honduras.

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

2.202 Ibs.
Japan.
1.32 lbs.
Morgen. Prussia.

0.63 acre.
Java, Malacca, 1.36 lbs.

Oke.
Egypt..

2.8052 lbs.
Siam.
12% lbs.
(Ocque). .Greece..

2.82 lbs.
(stand) Siam.
1.32 lbs.

Turkey.

2.828 lbs.
Sumatra.
2.12 lbs.

Pic
Egypt.

22.83 inches Centaro. Central America 4.2631 gals. Picul

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

China.

133% lbs.
Bremen ..
127.5 lbs.

Java.

136.16 lbs.
Denmark, Norway. 110.23 lbs.

Philippine Islands 139.44 lbs.
Prussia.
113.44 lbs.

Pie

Argentine Republic 0.94708 foot. Sweden. 93.7 lbs,

Spain.

0.91416 toot. Double or metric.. 220.46 lbs.

Pik
Turkey.

27.9 inches. Chetvert. Russis.

5.957 bu.

Pood.
Russis

36.113 lbs.
Ch'ih.
China.
12.60 Inches.
Pund (Ib.) Denmark.

1.102 lbs. (metric) |China..

1 meter.
Quart British Empire.

1.20094 liq. qt. Cho Japan. 2.451 acres.

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

Quarter Great Britain.. 8.266 bu.
Coyan
Siam.

2,645.5 lbs. Quintal. Argentine Republic, 101.28 Ibe.
Cuadra
Argentine Republic 4.2 acres.

Brazil

129.54 lbs.
Paraguay.
94.70 yds.

Castlle, Peru.. 101.43 lbs.
(sq). Paraguay.
1.85 scres.

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 (south). 6.35 lbs. weight)..... British

112 lbs.
Sack (flour) England..

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

Russia.

7 feet. Dr'c'ma (new Greece

15.43 gr.. or Igrm.Salm.

Malta..

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

Se
Japan.

0.02451 acre.
Chile.
2.75268 bu.

Seer
India.

2 2-35 lbs.
Guatemala, Spain: 1.53 bu.

Shaku Japan.

11.9303 Inches, Mexico 2.67716 bu Sho.

1.91 lig. quarts. (double) Uruguay

7.776 bu.
Skalpund Sweden,

0.937 lbs.
(single) Uruguay

3.888 bu.

Stone.
British

14 Ibs.
Venezuela
13.334 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.

Japan

2.05 pecks.
Mexico...
2.5 liq. qis. Ton.

Space measure. 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 Melrio.

15.432 grains. Tuona Hectare

2.471 acres.
(wheat Sweden

4.5 bu.
Tuppland.

1.22 acres. Hectolitre:

2.838 bu,

Vara..

Argentine Republic 34.0944 inches Liquid 26.418 gals.

Cost. Rica, Salv'd'r 32.913 inches. Jarib. Persia (New). 2.471 acres.

Guatemala

32.909 inches Joch. Austria (Germany) 1.422 acres.

Honduras

32.953 Inches. Hungary 1.067 acres.

Nicaragus.

33.057 inches Ken. Japan. 5.97 feet.

Chile and Peru. 32.913 inches. 2.2046 lbs.

Cuba. Kil'g'am kilo Metric.

33.386 iuches. Kilometre. 0.62137 mile.

Mexico...

32.992 incbes. Kiafter. Austria (Germany) 2.074 yds. Vedro.

Russia.

2.707 gals.
Koku
Japan..

5.119 bu.
Verst.

0.663 mile. Kwamme. Japan.

8.2673 lbs.
Vloka.

41.50 acres.

Poland.
Last.
Belgium, Holland. 85.134 bu.

Scotland & Ireland 41.282 bu.
Last
England.

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

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Multiplication and Division Table A number in the top line (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 (.8) at the line meet (342), and so on throughout the table. 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. 2 3 4 5

7 8 9 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 23 24 25 2

6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50

12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 661 69 72 75 4 8 12 16 20 24 28 32 36 40 44 48 52 561 601 64 68 72 76 80 84 881 92 96100 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125) 6 12 18 24 30 36 42 48 54 60 66 72) 78 84 90 96 102 108 114 120 126 132 138 144 150 7 14 21 28 35 421 491 56 63 70 77 84 91 98 105 112 119 126 133 140 147 154 161 168|175 $ 161 24 32 40 48 56 64 72 80 881 96 104 112 120 128/136144 152 160 168 176 184 192 200 9 18 27 36 45 54 63 72 81 90 99 108 117 126 135 144 153 162 171 180 189|198 207 216 225 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250) 10 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 187 198 209 220 231 242 253 264 275) 11 12 24 36 481 60 721 84 96 108 120 132 144 156 168 180|192 204|216 228 240 252 264276288/300) 12 13 261 391 52 65 78 91104 117 130 143 156 169 182 195 208 221 234 247 260 273 286 299 312 325 13 14 28 42 56 701 84 98 112 126 140 164 168 182 196 210 224 238 252 266 280 294 308 322 336 350 14 15 301 45 60 75 90 105 120 135 150 165 180 195 210 225240255 270/285 300 315 330 345 360 3751 15 16 32 48 64 80 96 112 128 144 160 176 192 203 224 240 256 272 288 304 320 336 352 368 384 400 16 17 34 51 68 85 102 119 136 153170 187 204 221 238 255 272 289 306 323 340357374 391|408 425 17 18 36 54 72 90 108 126 144 162 180 198 216 234 252 270288 306 324 342 360 378 396 414 432 450 18 19 38 57 76 95 114 133 152 171 190 209 228 247 266 285 304 323 342 361 380 399 418 437 456 475 19 20 40 60 80 100 120/140 160 180 200 220 240 260280/200 320 340 360 380 400 420 440 460 480 500 20 21 42 63 84 105 126 147 168 189 210 231 252 273 294 315 336 357 378 399 420 441 462 483 504 525 21 22 44 66 88 110 132 154 176 198 220 242 264286 308 330 352 374 396 418 440 462 484 506 528 550) 22 23 46 69 92 115 138 161 184 207 230 253 276 299 322 345 368 391 414 437 460 483 506 529 552 575 23 24 48 72 96 120 144 168 192 216 240 264 288 312 336 360 384 408 432 456 480 504 528 552 576 600 24 25 50 75 100 125 150 175 200 225 250 275 300 326 350 376 400 425 450 475 500 525 550 575 600 625 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

WN OOONOWN

18

23

25

625

92

Sa. Cube
Sq. Cube

Sq. Cube
No.
Sq. Cube Root Root No. Sa. Cube Root Root

No.

Sq. Cube Root Root 1 1.000 1.000 1.000 1.000 35 1225 42875 5.916 3.271 68 4624 314432 8.246 4.081 2

8 1.414 1.259 36 1296 46656 6.000 3.301 69 4761 328509 8.306 4.101 3 9

27 1.732 1.442 37 1369 50653 6.082 3.332 70 4900 343000 8.3664.121 4 16 64 2.000 1.587 38 1444 54872 6.164 3.362 71 5041 357911 8.426 4.140 5 25 125 2.236 1.710 39 1521 59319 6.245 3.391 72 5184 373248 8,485 4.160

36 216 2.449 1.817 40 1600 64000 6.324 3.420 73 5329 3890171 8.544 4.179 7 49 343 2.645 1.913

1681 68921 6.403 3.448 74 5476 405224 8.602 4.198 8 64 512 2.828 2.000 42 1764 74088 6.480 3.476 75 5625 421875 8.660 4.217 9 81 7293.000 2.080 43 1849 79507 6.557 3.5031 76 5776 438976) 8.717 4.235 10 100 1000 3.162 2.154 44 1936 85184 6.633 3.530 77 5929 456533 8.775 4.254 11 121 1331 3.3162.224 45 2025 91125 6.708 3.556 78 6084 474552 8.831 4.279 12 144 1728 3.4642.289 46 2116 97336 6.7823.583 79 6241 493039 8.888 4.290 13 169 2197 3.605 2.351 47 2209 103823 6.855 3.608 80 6400 512000 8.944 4.308 14 196 2744 3.741 2.410 48 2304 110592 6.928 3.634 81 6561 531441) 9.000 4.326 15 223 3375 3.873 2.466 49 2401 117649 7.000 3.659 82 6724 551368/ 9.055 4.344 16 256 4096 4.000 2.519 50 2500 125000 7.0713.684 83 68895717871 9.1104.362 17 289 49131 4.123 2.571 51 2601 132651 7.1413.708 84 7056 592704 9.165 4.379

324 5832 4.242 2.620 52 2704 140608 7.211 3.732 85 7225 614125 9.2194.396 19 361 6859 4.3582.668 53 2809 148877| 7.280 3.756 86 7396 636056 9.27314.414 20 400 8000 4.472 2.714 54 2916 157464 7.348 3.779 87 7569) 658 503 9.327 4.431 21 441 9261 4.582 2.758 55 3023 166375 7.416 3.803 88 77441 681472 9.380 4.448 22 484 106481 4.690 2.802 56 3136 175616 7.483 3.825 89 7921 704969 9.434 4.464

529 12167 4.795 2.843 57 3249 185193 7.5493.848 90 8100 729000 9.486 4.481 24 576 13824 4.899 2.884 58 3364 195112 7.615 3.870 91 8281 753571 9.539) 4.497 15625 5.000 2.924 59 3481 205379 7.681 3.893

8464 778688 9.591 4.514 26 676 17576 5.099 2.962 60 3600 216000 7.746 3.914 93 8649 804357 9.643|4.530 27 729 19683 5.196 3.000 61 3721 226981 7.810 3.936

94

8836 830584 9.695 4.546 28 784 21952 5.291 3.036 62 3844 238328) 7.874 3.957 95 9025 857375 9.746 4.562 29 841 24389 5.385 3.072 63 3969 250047 7.937 3.979 96 9216 884736 9.798 4.578

900 27000 5.477 3.107 64 4096 262144 8.000 4.000 97 9409 912073 9.848 4.594 31 961 29791 5.567 3.141 65 4225 274625 8.062 4.020 98

96041 941192 9.899 4.610 32 1024 32768 5.656 3.174 66 4356 287496) 8.124 4.041 99 9801 970299 9.949 4.626 33 1089 35937 5.744 3.207 67 4489 300763 8.185 4.061 100 10000 1000000 10.000| 4.641 34 11561 39304 5.83113.2391

Areas of Circles To find the circumference of a circle multiply the or depth. Thus, a pipe 1 foot in diameter and ! 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 a 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 a 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

Diam-
Area

Ci'm-
ference

Diam-CI'm

Area
eter ference

eter
ference

Area

eter ference 1-32 09817 ,0007 9-161.76715 24851 1

3.14159 .7854|| 2 6.28319 3.1416 1-16).19635 .0030 19.32 1.86532 .2768|| 1 1-163.33794 .8866|| 2 3-16/6.87223 3.7583 3-32 ,29452 .00691 21-322.06167 .3382|| 1 3-16 3.73064) 1.10751 2 5-167.26493 4.2000 3-16 .58904 .0276 11-162.15984 .3712||15-16 4.12334 1.3530|| 2 7-16 7.65763 4.6664 7-32 .68722 .03751 23-322.25802

4057

1 7-16 4.51604 1.6230 2 9-16 8.05033 5.1572 9.32.88357 .0621 25-322,45437 4793 1 9-16 4.90874 1.9175| 2 11-16 8.44303 5.6727 11-32 1.07992 .0928 27-32 2.65072 .5591 1 11-16 5.30144 2.2365|| 2 13 16 8.83573 6.2126 13-321.27627 .1296!

29-3212.84707 .645011 1 13-16 5.69414' 2.580211 2 15-169.22843 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 eguals 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.

39

eter

Square Roots and Cube Roots, 1000 to 2000
Square Cube
(Square Cube

Square Cube
No.

Squarel Cube
No.

No.

Root

Root

Root

Root

No.

Root

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1000 1005 1010 1020 1025 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 1205 1210 1215 1220 1225 1235 1245

31.62 31.70 31.78 31.94 32.02 32.09 32.17 32.33 32.40 32.56 32.63 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 34.42 34.50 34.57 34.64 34.71 34.79 34.86 34.93 35.00 35.14 35.28

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 10.35 10.37 10.38 10.40 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

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

35.43 35.50 35.57 35.71 35.78 35.85 35.92 36.06 36.12 36. 26 36.33 36.47 36.54 36.61 36.67 36.74 36.81 36.88 36.95 37.01 37.08 37.15 37.22 37.28 37.35 37.42 37.48 37.55 37.62 37.68 37.75 37.82 37.88 37.95 38.01 38.08 38.14 38.21 38,28 38.34 38.41 38.47 38.60 38.73

10.79 10.80 10.82 10.84 10.86 10.87 10.89 10.91 10.93 10.96 10.97 11.00 11.01 11.02 11.04 11.05 11.07 11.08 11.09 11 11 11.12 11.13 11.15 11.16 11.17 11.19 11. 20 11.21 11.23 11.24 11.25 11.27 11.28 11.29 11.31 11.32 11.33 11.34 11.36 11.37 11.38 11.40 11.42 11.45

1510 1515 1520 1530 1535 1540 1545 1555 1560 1570 1575 1585 1590 1595 1600 1605 1610 1615 1620 1625 1630 1635 1640 1645 1650 1655 1660 1665 1670 1675 1680 1685 1690 1695 1700 1705 1710 1715 1720 1725 1730 1735 1745 1755

38.86 38.92 38.99 39.12 39.18 39.24 39.31 39.43 39.50 39.62 39.69 39.81 39.87 39.94 40.00 40.06 40. 12 40.19 40.25 40.31 40.37 40.44 40.50 40.56 40.62 40.68 40.74 40.80 40.87 40.93 40.99 41.05 41.11 41.17 41.23 41.29 41.35 41.41 41.47 41.53 41.59 41.65 41.77 41.89

11.47 11.49 11.50 11.52 11.54 11.55 11.56 11.59 11.60 11.62 11.63 11.66 11.67 11.68 11.70 11.71 11.72 11.73 11.74 11.76 11.77 11.78 11.79 11.80 11.82 11.83 11.84 11.85 11.86 11.88 11.89 11.90 11.91 11.92 11.93 11.95 11.96 11.97 11.98 11.99 12.00 12.02 12.04 12.06

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

42.01 42.07 42.13 42.25 42.31 42.37 42.43 42.54 42.60 42.72 42.78 42.90 42.95 43.01 43.07 43.13 43.19 43. 24 43.30 43.36 43.42 43. 47 43.53 43.59 43.06 43.70 43.76 43.82 43.87 43.93 43.99 44.05 44.10 44. 16 44.22 44.27 44.33 44.38 44.44 44.50 44.55 44.61 44.67 44.72

12.09 12.10 12.11 12.13 12.14 12.15 12.16 12.19 12.20 12.22 12 23 12.25 12.26 12.28 12.29 12.30 12.31 12.32 12.33 12.34 12.35 12.36 12.37 12.39 12.40 12.41 12.42 12.43 12.44 12.45 12.46 12.47 12.48 12.49 12.50 12.51 12.53 12.54 12.55 12.56 12.57 12.58 12.59 12.60

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Factors and Prime Numbers
Factors are such numbers as multiplied together will produce a 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
59
139
233
337
439
557
653
769

883
61
149
239
347
443
563
659

773
67
151
241

887
349
449
569
661

787 71

907
157
251
353
457
571
673

797
73
163
257

911
359
461
577
677

809
79
167

919
263
367
463
587
683
811

929
83
173
269
373

593
691

821
89
179
271

937
379
479
599
701

823 97

941 181 277 383 487 601 709

827 101

947 191 281 389 491 607

719
103

829
193
283

953
397
499
613
727

839 31 107

967 197 293 401 503 617 733

853 37 109 199

971 307 409 509 619

739 113

857 211

977 311 419 521 631

743 43

859
127
223

983
313
421
523
641

751 47 131 227

991 317 431 541 643

757
53
137

877
229
331

997
433
647
647

881

467

12357193引四红%

863

761

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. Hgt. Hgt. Hgt. Hgt. Hgt. Hgt.
Group
51"

5'
11'

5'4" 5

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124

135

152

163

Wet. Wgt. Wgt.

Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wgt. Wet. 15-19 108 111 114 118 122 126 130 134 105 107 110 113 15-19

116 113

119 123 115 118 121 124 128 132 136 110 112 114 117 20-24

120 123 126 119 121 124 127 131 135 139 142 113 115

117 120 25-29

123 126 129 124 126 128 131 134 138 142 146

116

118 120 30-34

122 125 127

129 132 129 131 134 137 141 145 149 119 121 123 125 35-39

128 132 137 129 131 133 136 140 144 148 152

122

126 129 40-44

132

136 132

140 134 136 139 142 146 150 154 126 128 130 133 45-49

136 134 136 138

139 143 141 144 148 152 156 129 131 133 136 50-54

139 142 146 135 137 139 142 145 149 153 157 131 133 135 138 141 144 148 5'g" 5'9" 5' 10" 5' 11"

6'1" 6' 2" 6' 3" 5' 6" 5'7" 5'8" 5' 9" 5'10" 5'11" 15-19 138 142 146

151
156 161

166
171 127 131

139

143 15-19

147 151 140 144 148 153 158 163 168 173 130 134 138 141 145 20-24

150 155 146

150 154 158 163 168 173 178 133 137 141 25-29

145 150 154

149 153 157 158 163 169 175 181 187 136 140 144 148 30-34

155 154 158

159 163 168 174 180 186 192 140 144 148 152

155 35-39

158 162 157 162 167 172

178 184 191 197 40-44

144
148
152 156

159
159

162 165 164 169 175 181 187 194 201 147 151 155 159 45-49

162 166 161

189 166 171 177 183 190 197 204 151 155

169 50-54

166 170 162

173 167 172 178 184 191 198 205 II 152 157 162 166

170

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 ade in 929 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 Hgt.

Hgt.
Age 1a.

Age
Stand - Mini- Stand- Mini-

In. Stand-/ Mini- Stand - Mini-
ard
mum ard mum

ard
mum

ard mum pounds pounds inches inches

pounds pounds inches inches

174

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THE ORGANS OF THE HUMAN BODY

Source: Arthur MacDonald, Anthropologist, Washington, D. C.
Grams Ounces Per Ct.
Grams Ounces Per Ct.

Grams Ounces Per Ct,

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