82 234 TABLE OF CEOMETRICAL PROGRESSION. (WHEREBY any questions of Geometrical Progression and of Double Ratio may be solved by Inspection, the Number of Terms not exceeding 56. ) 10 11 12 13 14 16 256 512 1024 2048 Norwegian Mile. 4% Point.. 5 Point.. 5% Point.. 6 Point.. 15 16 17 18 19 20 21 17179869184 34359738368 68719476736 137438953472 549755813888 4096 1099511627776 ILLUSTRATIONS-The 13th power of 2-8192, and the 8th root of 256-2. 3 6 12 One Dollar 1 month. .. 2 "" 64 66 English 7 021 Simple Interest Table. One Hundred Dollars 1 day. .. 2 46 3 44 64 66 16384 32768 65536 131072 262144 524288 English Statute Mile.... 1.000 0.867 1.609 0.217 1. 508 1.150 1.000 1.855 0.250 " 4 " 12 1048576 2097152 4194304 16777216 3355-4432 67108864 134217728 THE ENCLISH MILE. COMPARED WITH OTHER EUROPEAN MEASURES. 1 month 2862 ::: 18 ems 7 Point. .17 ems 8 Point.. .16 ems 9 Point.... 15 ems 29 30 31 32 33 34 35 36 37 38 39 41 42 4 PER CENT, 66 Germin 268435456 536870912 1073741824 2147483648 4294967296 8589934592 Russian STANDARD NEWSPAPER MEASURES. THE Standard Newspaper Measure, as recognized and now in general use is 13 ems pica. The standard of measurement of all sizes of type is the "em quad," not the letter "'m."' The basis of measurements adopted by the International Typographical Union is the lower-case alphabet, from "a" to "z"' inclusive, and the ems used are the same body as the type measured. Austrian Mile. 43 44 45 46 47 48 49 SIMPLE INTEREST TABLE. (Showing at Different Rates the Interest on $1 from 1 Month to 1 Year, and on $100 from 1 Day to 1 Year) 5 PER CENT. Dutch Ure. 60) 51 52 53 54 55 56 0.212 0.289 1.738 0.245 0.151 0.213 0.335 0.142 0.246 0.386 0.133 0.208 0.985 1.543 0.142 0.222 1.006 1.578 0.738 1.157 1.499 2.350 1.419 2.224 7.112 5.215 10.589 10.019 0.734 1. 489 Norweg. Mile 50 50 14 ems 10 Point.... 14 ems 11 Point.. 13 ems 12 Point...... 6 PER CENT. 7 PER CENT. 4398046511104 8796093022208 17592186644416 85184372088832 70368744177664 140737488355328 281474976710656 562949953421312 1125899906842624 2251799813685248 4503599627370496 9007199254740932 18014398509481984 36028797018963968 50 18 ems .13 ems 13 ems 8 PER CENT. Linin 100 $81.58,9 100 10 100 100 $2.70,5 09-1 100 339. 30,5 867.72.1 2,199. 78,4 5,529. 04, 4) 12 100 15 100 18 100 71 100 100 24 YEARS IN WHICH A GIVEN AMOUNT WILL DOUBLE AT SEVERAL RATES OF INTEREST, AT COMPOUND INTEREST. COMPOUND INTEREST TABLE. VI ... ....... 1XI 4 XIV 5 XV 6 XVI. 7 XVII. 10 XX. 11 XXX 13 L 14 LX 15 LXX 18 C 19 CC. 58 1.15 1.73 62 1.23 1.85 2.46 2.31 8.08 3,85 3.23 3.46 3.69 4.38 4.62 3.77 4.31 5.38 3.69 4.92 5.23 4,15 5.54 5.88 4.62 6.15 6.54 4.23 4.65 4.62 5.08 5.08 5.50 5. 50 5.00 7.50 8.08 5.12 4 85 4.04 5.85 6.15 5.54 4,62 4.31 6.92 6. 23 6.58 5.19 4.85 6.92 7.31 7.69 5.38 5.77 8.04 8.46 7.62 5.92 9.23 8.77 8.31 6.92 7.38 7.85 6.46 9.50 10.00 9.00 8.50 8.00 7.00 7.50 9.15 8.62 9.69 10.23 10.77 8.08 7.54 5.38 9.81 10.38 10.96 11.54 8.65 9.23 6.92 6.35 5.77 7.69 8,46 9.23 10.00 10.77 11.54 12.31 13.03 13.85 14.62 15.38 10.00 11.00 12,00 13.00 14.00 15.00 16.00 17.00 18.00 19.00 20.00 20.00 22,00 24,00 26.00 28,00 30.00 32,00 34.00 36.00 38,00 40.00 30.00 33.00 36,00 39.00 42,00 45,00 48.00 51.00 54.00 57.00 60.00 40.00 44,00 48,00 52,00 56,00 60.00 64.00 68.00 72.00 76.00 80.00 50.00 55.00 60.00 65.00 70.00 75,00 80,00 85.00 90.00 95.00 100.00 60.00 66,00 72.00 78.00 84.00 90.00 96.00 102.00 108. 00 114.00 120, 00 70,00 77,00 84.00 91.00 98.00 105. 00 112. 00 119, 00 126.00 133.00 140,00 80.00 88.00 96.00 104.00 112.00 120, 00 128. 00 136. 00 144.00 152.00 160.00 90.00 99,00 108. 00 117.00 126, 00 135, 00 144, 00 153, 00 162. 00 171 00 180.00 100.00 110, 00 120. 00 130,00 140.00 150.00 160. 00 170, 00 180.00 190.00 200.00 10.00 121.00 132.00 143.00 154.00 165.00 176, 00 187. 00 198, 00 209, 00 220.00 120.00 132.00 144, 00 156.00 168.00 180.00 192.00 204. 00:216 00:28. 001240.00 135 410 Six working days in the week. ROMAN AND ARABIC NUMERALS. 16 LXXX or XXC. 17 XC $13,780.66 34,064.34,6 83,521.82,7 1,174,302. 40 15,424, 106.40 2,198,720,200 90 M 100 MCMXV. 30 CCCC............ 50 DC... 60 DCC. 70 BCCC. 80 CM........... 400 500 600 700 800 900 1000 1915 2000 Height and Weight of Men. 100 Cork... .124 Fir 84 Cedar.. 99 Pear 100 Walnut. SUBSTANCES. Bromine freezes at.. Authorities vary on some of these points. 101 Cherry .104 Oak HEIGHT. 5 feet 3 inches 5 feet 4 inches.. 5 feet 5 inches 5 feet 6 inches SPECIFIC GRAVITY.* Timber. Porter......... The weight of a cubic foot of distilled water at a temperature of 600 F. is 1,000 ounces Avoirdupois, very nearly, therefore the weight (in ounces, Avoirdupois) of a cubic foot of any of the substances in the above table is found by multiplying the specific gravities by 10, thus:-one cubic foot of oak weighs 1,170 ounces; one cubic foot of marble 2.700 ounces, and so on. Compared with water. ...... 170 176 181 Average. 5 feet... 5 feet 1 inch......... 120 5 feet 2 inches 125 130 135 140 143 Centi- Fahren- 0 0 264 963 1,204 1,105 2,200 FREEZING, FUSING, AND BOILING POINTS. Reau- 84 Ivory. 106 Marble .117 Chalk Sundries. Mini mum. 98 102 106 111 115 119 121 SUBSTANCES. Silver fuses at..... Ether boils at... The best are given. 147 152 154 157 151 162 167 164 140 143 HEIGHT AND WEIGHT OF MEN. TABLE OF AVERAGE HEIGHT AND WEIGHT OF MALES, BASED ON ANALYSIS OF 74,162 ACCEPTED 77 Granite 143 146 150 145 Copper.. 155 160 165 170 175 180 186 194 200 203 Ag Metals and Stones, Age. 141 145 Maxi- IIEIGHT. 6 feet...... 161 165 149 153 158 163 167 172 177 182 188 Age. Age. Age. Age. Age. 136 134 124 128 134 136 127 131 138 144 141 147 138 145 151 142 142 147 150 156 146 161 150 166 154 159 171 159 164 177 165 170 183 189 196 204 194 201 8000 76.5 92 182 ..... Reau- Centl- Fahren mur. grade. heit. 329.6 63 50 28.4 140 80 Age. 138 141 145 1,0000 95.6 149 153 158 163 168 115 228 412 74.4 63 35.5 175 100 Average. 145 148 155 160 165 170 Age 278 353 721 729 779 783 840 895 137 140 144 1,047 .1.135 148 153 158 163 168 173 174 178 180 183 185 189 189 194 192 .1,357 .1,926 .2,150 A Height and Weight Table compiled by a Committee of the Medical Section of the National Fraternal Congress, 1900, which is the analysis of 133,940 applications of selected risks, in a few instances differed very slightly from the above. HEIGHT AND WEIGHT OF WOMEN. The following table gives the relative height and weight of women, all ages. The weight of ordinary clothing, however, is included: 1,8320 204 239 442 773 167 145 96 347 212 Mini mum. 123 126 131 136 138 141 Age. 65-69 140 143 147 151 156 162 168 174 180 185 189 192 Maxi mum. 167 170 179 184 190 196 HEAD, FEET. NOTE-The centre of pressure of water against the side of the containing vessel or reservoir is at two-thirds the depth from the surface. One cubic foot salt water weighs 64. 3 pounds. DEPTH FEET. 6 8 10 PRESSURK FER SQ. INCH. 1 2 3 cylindrical inch... 49. 10 Velocity, Feet Tin Gold (cast). Pressure MATERIALS. METALS. THEORETICAL VELOCITY OF WATER IN FEET PER SECOND. Velocity, Feet HEAD, FEET. Velocity, Feet 2.60 8.40 4.33 6,49 8.66 10.82 12.99 Degrees 62.5 03617 pound. 434 pound. pounds. 7.48052 U. S. gals. 112.0 pounds. .2240.0 pounds. 02842 pound. pound. pounds. WATER MEASURES. WEIGHT OF WATER. 25. 27.8 31.1 34.0 70 35.9 75 37.6 80 PRESSURE OF WATER PER SQUARE INCH AT DIFFERENT DEPTHS. DEPTH 216.3 219.4 222.4 225.2 227.9 230.5 233.0 235.4 237.7 240.0 HEAD, FEET. 25 30 35 Lbs.* 40 45 50 DEPTH FEET. TEMPERATURE ATMOSPHERIC PRESSURE 1.47 LBS. 35 40 45 50 60 70 80 MATERIALS. METALS. Aluminum castings... 15,000 Soft copper wire.. sheets.... 24,000 Hard wire.. 50,000 Cast iron.. bars..... "steel. 28,000 Nickel aluminum... 40,000 Wrought iron. Aluminum bronze 70,000 Soft steel Manganese Phosphor " Tobin 06 " Bronze gun metal. " Degrees 248.3 252.1 255.7 259.2 262.5 265.6 268, 6 271.5 274.3 pered. 44 44 70 10 75 Steam flows into atmosphere at the rate of 650 feet per second. 60,000 Carbon steel (not an 44 56,000 1 2,000 Vanadium steel (cast), 4.0001 U.S. gals. pounds. pounds. 10.0 pounds. 1 cylindrical foot.... 6.0 2. 282 cylindrical feet.... 112.0 45.64 cylindrical feet....2240.0 1 imperial gallon.... 11.2 imperial gallons... 112.0 224 imperial gallous...2240, 0 pounds. 1 U. S. gallon pounds. 13.44 U. S. gallons.. 8.355 pounds. 268.8 112.0 U. S. gallons.. pounds. 2240.0 pounds. 35,000 60,000 20,00 55 60 65 90 100 110 120 130 85.000 80,000 140 150 90.000 53.000 60.000 65.000 70.000 81.400 PRESSURE 1'ER SQ. INCH. 32 34 40 45 50 55 TENSILE STRENGTH OF MATERIALS. 60 65 59.5 64.7 67.1 69.5 71.8 MATERIALS, METALS. Nickel vanadium steel 99,700 129,100 50.000 58,000 WOODS. Ash.... Hickory. Pressure. (lbs.) 38.98 43.31 47.64 51.98 56.31 Lignum vitae. Maple. 44 60.64 64.97 316.0 320.0 OF STEAM. DEGREES IN FAHRENHEIT SCALE. 277.0 279.6 286.9 292.5 297.8 302.7 307.4 311.8 HEAD, FEET. Lbs.* 85 90 95 100 125 150 DEPTH IN 160 170 180 190 200 215 230 PRESSURE 85 90 95 100 105 110 115 120 125 MATERIALS. WOODS. *G Spruce...... Velocity, Feet per Second. 14,000 12,000 MISCELLANEOUS. 14.500 Blue Stone..... 10,000 Granite... 10,000 Limestone ........ 13,400 Marble 11,000 13,000 7,000 74.0 76. 1 78.2 80.3 ... 1,400 600 1,000 700 100 200 400 leather belting..... Ordinary double leather belting... Cotton belting..... 3,000 6,000 6,000 steel....... 100.000 Zine..... Brass (cast) Copper (cast), Tensile Strength is the resistance of the fibres or particles of a body to separation. It is therefore proportional to their number, or to the area of its transverse section. The fibres of wood are strongest near the centre of the trunk or humb of a tree. Tensile strength in pounds per square inch. 89.7 98,3 I're sure. (lbs.) 69.31 73.64 77.97 82.30 86, 63 93.14 99.63 of Degrees Temperature. 323.9 327.6 331.1 334.5 337.8 341.0 344. O 347.0 350.0 352,8 Lbs. * 14,500 15,000 11,000 10,000 12,000 14,000 86 United States Coast and Geodetic Survey. THE CAPITOL AT WASHINGTON. THE Capitol is situated in latitude 38° 53′ 20.4 north and longitude 77° 00' 35.7 west from Greenwich, It fronts east, and stands on a plateau eighty eight feet above the level of the Potomac. The entire length of the building from north to south is seven hundred and fifty-one feet four inches, and its greatest dimension from east to west three hundred and fifty feet. The area covered by the building is 153, 112 square feet. The dome of the original central building was constructed of wood, covered with copper. This was replaced in 1856 by the present structure of cast iron. It was completed in 1865, The entire weight of iron used is 8,909, 200 pounds. The dome is crowned by a bronze statue of Freedom, which is nineteen feet six inches high and weighs 14,985 pounds. It was modelled by Crawford. The height of the dome above the base line of the east front is two hundred and eighty-seven feet five inches. The height from the top of the balustrade of the building is two hundred and seventeen feet eleven inches. The greatest diameter at the base is one hundred and thirty-five feet five inches. The rotunda is ninety-seven feet six inches in diameter, and its height from the floor to the top of the canopy is one hundred and eighty feet three inches. The Senate Chamber is one hundred and thirteen feet three inches in length, by eighty feet three inches in width, and thirty-six feet in height. The galleries will accommodate one thousand persons. The Representatives' Hall is one hundred and thirty-nine feet in length, by ninety-three feet in width, and thirty-six feet in height. The southeast corner-stone of the original building was laid September 18, 1793, by President Washington with Masonic ceremonies. The corner-stone of the extensions was laid July 4, 1851, by President Fillmore. The room now occupied by the Supreme Court was, until 1859, occupied as the Senate Chamber. Previous to that time the court occupied the room immediately beneath, now used as a law library. LINCOLN'S GETTYSBURG SPEECH. (Address at the Dedication of Gettysburg Cemetery, November 19, 1863.) FOURSCORE and seven years ago our fathers brought forth upon this continent 8 new nation, conceived in liberty, and dedicated to the proposition that all men created equal. are Now we are engaged in a great civil war, testing whether that nation, or any nation so conceived and so dedicated, can long endure. We are met on a great battlefield of that war. We are met to dedicate a portion of it as the final resting-place of those who here gave their lives that that nation might live. It is altogether fitting and proper that we should do this. But in a larger sense we cannot dedicate, we cannot consecrate, we cannot hallow this ground. The brave men, living and dead, who struggled here have consecrated it The world will little note nor long remember far above our power to add or detract. what we say here, but it can never forget what they did here. It is for us, the living. rather to be dedicated here to the unfinished work that they have thus far so nobly carried on. It is rather for us to be here dedicated to the great task remaining before us; that from these honored dead we take increased devotion to the cause for which they here gave the last full measure of devotion; that we here highly resolve that the dead shall not have died in vain; that the nation shall, under God, have a new birth of freedom, and that government of the people, by the people, and for the people, shall not perish from the earth. UNITED STATES COAST AND GEODETIC SURVEY. THE Coast and Geodetic Survey of the Department of Commerce is charged with the survey of the coasts of the United States and coasts under the jurisdiction thereof, and the publication of charts covering said coasts. This includes base measure, triangulation, topography, and hydrography along said coasts; the survey of rivers to the head of tide water or ship navigation. deep sea soundings, temperature and current observations along said coasts and throughout the Gulf and Japan streams, magnetic observations and researches and the publication of maps showing the variations of terrestrial magnetism; gravity research, determination of heights, the determinstion of geographic positions by astronomic observations for latitude, longitude and azimuth, and by triangulation to furnish reference points for State surveys and to co-ordinate Governmental surveys. The results obtained are published in annual reports and in special publications: charts upon various scales, including sailing charts, general charts of the coast and harbor charts: tide tables Issued annually in advance: coast pilots with saling directions covering the navigable waters; notices to mariners issued weekly as a joint publication of the Coast and Geodetic Survey and the Bureau of Lighthouses and containing current information necessary for safe navigation: catalogues of charts and publications, and such other publications as may be required to carry out the organic law governing the survey. |