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Table of Geometrical Progression.

(WHEREBY any questions of Geometrical Progression and of Double Ratio may be solved by Inspection, the Number of Terms not exceeding 56.)

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14

8192

134217728

42

2199023255552

56

36028797018963968

ILLUSTRATIONS-The 13th power of 2-8192, and the 8th root of 256-2.

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Standard Newspaper Measure.

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 bwer-case alphabet, from "a" to "z" inclusive, and the ems used are the same body as the type measured.

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TIMZ.

5

Point.

5% Point.

6 Point..

.16 ems 9 Point....

.15 ems

Simple Interest Table.

..13 ems

(Showing at Different Rates the Interest on $1 from 1 Month to 1 Year, and on $100 from 1 Day to 1 Year)

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4 PER CENT.

5 PER CENT.

6 PER CENT.

7 PER CENT,

8 PER CENT.

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Swiss

Stunde.

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YEARS IN WHICH A GIVEN AMOUNT WILL DOUBLE AT SEVERAL RATES OF INTEREST.

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15.

9 81

20.

10.38
13.85

10.96 11.54

1 month.

2

3

5

6

8.

6.00
5.00
5.50 6.00 6.50
7.00 7.50
5.38 5.92 6.46 7.00 7.54
5.77 6.3. 6.92 7.50 8.08
8.65
7.69 8.46 9.23 10.00 10.77 11 54
12.00 13 00 14.00 15 00
24.00 26.00 28.00 3000
36.00 39.00 42.00 45 00
48,00 52,00 56,00 60 00
60.00 65.00 70.09 75.00
72.00 75 00 84.00 90 00

9.23 12.31 13 03′ 14.62 15.38 10.00 11 00 16.00 17.00 18.00 19.00 20.00 20.00 2200 32.00 34.00 36,00 38.00 40.00 30 00 33 00' 48.00 5100 54.00 57.00 60,00 40 00, 44 00 64 00 68.00 72.00 76.00 80.00 50.00 55.00 80.00 85.00 90.00 95.00 100 00 60.00 66,60 96 0 102 00 108. 00 114 00 120,00 70.00 77.00 84 00 91.00 98.00105 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 00 180.00 100,00 110,05 120.00 130, 60 140,00 150,‹ 0 160 00 170.00 180.00 190,00 200 00 1 0.00 121 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 00 240, 00 *Six working days in the week.

9

10

11

1 year

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The weight of a cubic foot of distilled water at a temperature of 60° 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, aud so on. Compared with water.

Freezing, Fusing, and Boiling Points.

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Height and Weight of Men.

TABLE OF AVERAGE HEIGHT AND WEIGHT OF MALES, BASED ON ANALYSIS OF 74,162 ACCEPTED APPLICANTS FOR LIFE INSURANCE AS REPORTED TO THE ASSOCIATION

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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:

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12

cylindrical inches

.341 pound.

49. 10

pounds.

13.44 268.8

C. S. gallons..

112.0

pounds.

U. S. gallons......2240, 0

pounds.

1

cylindrical foot.... 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.

THEORETICAL VELOCITY OF WATER IN FEET PER SECOND.

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PRESSURE OF WATER PER SQUARE INCH AT DIFFERENT DEPTHS.

DEPTH

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FRET.

(lbs.)

FEET.

(lbs.)

(lbs.)

FERT.

FEET.

(lbs.)

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Steam flows into atmosphere at the rate of 650 feet per second.

Tensile Strength of Materials.

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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 limb of Tensile strength in pounds per square inch.

a tree.

Red fir...

10,000

Yellow fir.........

12,000

WOODS.

Teak..

14,000

14,000

12,000

MISCELLANEOUS.

14,500

Blue Stone..

1.400

10,000

Granite...

6.00

10,000

Limestone

1,000

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88

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 a new nation, conceived in liberty, and dedicated to the proposition that all men are created equal.

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 far above our power to add or detract. The world will little note nor long remember 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 sald 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 determination 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 sailing 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.

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