None
32° 50° 68° 86° 104° 122° 140° 158° 176° 194° 212° 14-70 212° 1-19 1-17 1-15 1-13 1-11 1-10 1-08 1-06 1-04 1-02 1-00 20-78 230 1-20 1-18 1-16 1-14 1-12 1-10 1-08 1-06 1-04 1-02 1-01 28-82 248 1-20 1-18 1-16 1-14 1-13 1-11 1-09 1-07 1-05 1-03 1-01 39-26 266 1-21 1-19 1-17 1-15 1-13 1-11 1-09 1-07 1-06 1-04 1-02 52-56 284 1-21 1-20 1-18 1-16 1-14 1-12 1-10 1-08 1-06 1-04 1-02 69-27 302 1-22 1-20 1-18 1-16 1-14 1-12 1-11 1-09 1-07 1-05 1-03 89-95 320 1-22 1-21 1-19 1-17 1-15 1-13 1-11 1-09 1-07 1-05 1-03 115-22 338 1-23 1-21 1-19 1-17 1-15 1-14 1-12 1-10 1-08 1-06 1-04 145-75 356 1-23 1-22 1-20 1-18 1-16 1-14 1-12 1-10 1-08 1-06 1-04 182-27 374 1-24 1-22 1-20 1-18 1-17 1-15 1-13 1-11 1-09 1-07 1-05 225-56 392 1-24 1-23 1-21 1-19 1-17 1-15 1-13 1-11 1-09 1-07 1-06 276-54 410 1-25 1-23 1-22 1-20 1-18 1-16 1-14 1-12 1-10 1-08 1-06 336-26 428 1-25 1-24 1-22 1-20 1-18 1-16 1-14 1-12 1-11 1-09 1-07 APPENDIX. 801 The Twenty-eighth Street Central Station of the United Electric Light and Power Company. By H. W. York, "Trans. A. S. C. EM" March 18, 1896. In this station 20,000 H. P. of engines, together with the boilers, condensing appa- ratus, dynamos, and switchboard, and storage for 6,000 tons of coal, are all on a plot of ground 160 feet 11 inches by 197 feet 6 inches. All machinery, including the boilers, is on the ground floor, and yet there is plenty of light, air, and ample space for working around all the apparatus. Fig. 1870 is a plan of the foundation walls and piers of the 802 APPENDIX. building. The entire front wall is hollow and carried up above the roof to prevent the noise of the machinery annoying the patients in Bellevue Hospital, which is directly across the street. Fig. 1871 is a cross-section of the entire structure. Loop System. — The main steam and exhaust piping is shown in plan on Fig. 1872. A 16-inch header is run the length of the boiler-room, and a similar header is run the length of the engine room between the two rows of foundations and parallel to the boiler-room header. Each of these headers are divided into five sections by means of four gate- APPENDIX. 803 valves, and each section of the boiler-room header is connected to the corresponding sec- tion of the engine-room header by a 14-inch branch rising from the top of one and dis- charging into the top of the other, a valve being placed on each end where a connection is made to the header. Each boiler lias an independent connection to the boiler-room header, supplied with two stop-valves, one in the customary position just beyond the safety-valves, and the other at the point where the pipe enters the header. This second valve has its stem extended through the wall into the repair shop, so that in case of trouble any boiler may be cut out of a room having no communication with the boiler house. Each engine on the east side of the engine room is connected to one of the 14-inch 804 APPENDIX. branches previously mentioned, while outlets are left on the engine-room header for con- nections to the west row of the engines as soon as they are placed in position. In case any section of the engine-room header is cut out, one engine connected to this section can be fed directly from the 14-inch branch, leaving only one which can not be run, and in case any section of the boiler-room header is cut out no engine need be shut down, as the one connected to the 14-inch branch can be fed back from the engine-room header. The boilers are of the upright water-tube type of the Clonbrock pattern, and are in 600 H.-P. units, occupying little ground room 'per unit of capacity (Fig. 1873). The conveyer for handling coal and ashes consists of an endless chain of gravity buckets, which are loaded by means of a filler and can be dumped at any desired point. The driver is in the north end of the ventilator over the coal bunker. The coal filler is in a vault under the sidewalk, and the coal is dumped into this ap- paratus through a grating situated about the street level. After being deposited in the buck- ets the coal is carried up into the ventilator over the coal bunker and dumped into any portion of the bunker desired. From the hoppers in the bottom of the bunker the coal is spouted to the different boilers. The arrangement is such that the coal trims itself and will con- tinue running down the spouts as required and without assistance so long as any remains in the bunker. Under each boiler is an ash hopper deliver- ing the ashes to a second movable filler, which deposits them in the buckets of the conveyer when it is not used for coal. The conveyer dumps the ashes at a point from which they are spouted over to a tank in the southeast corner of the coal bunker. The engines are Westinghouse double acting "Columbian steepled compounds." Fig. 1874 shows one of these engines in section. The low pressure is placed over the high pressure, and both pistons are connected to the same rod. The crank is inclosed in the same manner as the Westinghouse engines. The low-pressure valve is operated by a fixed eccentric placed in- side the crank case, while the high-pressure valve receives its motion from a shifting eccen- tric outside the crank case, operated automati- cally by the governor, which is placed on the shaft outside of the eccentric. The low-pressure valve is of the slide-valve type, while that for the high-pressure cylinder is a hollow piston valve, being constructed in this manner to allow the exhaust from the lower end of the high-pressure cylinder to pass up through it. Diameter high-pressure cylinder, 21J inches ; diameter low- pressure cylinder, 37 inches ; stroke, 22 inches. The speed is 200 revolutions -per Elevation. APPENDIX. 805 minute and the rated horse power 1,200 when operating condensing, with 150 pounds initial steam pressure. Each main engine is directly connected to a 600- kilowatt Westinghouse ^alternator by a rigid coupling, both engine and generator being set on a firm cast-iron bedplate. The generator has but one bearing, the armature being swung between the engine and this single support. For exciting the fields of the alternators, 75-kilowatt direct-current Westinghouse dynamos of the railway generator type are used. FIG. 1874. FOUNDATION FOB VERTICAL ENGINES. 806 APPENDIX. Zoss j/i Yo/fs. FIG. 1875. In the " Universal "Wiring Com- puter, '' by Carl Hering, charts are giv- en which give directly, and without calculation or the use of formulae, 'the gauge number or cross section in cir- cular mils of lead for any number of lamps of any make at any distance or for any loss. One of these tables is given above as an illustration on "graphics." Follow the general direction of the broken line and the arrows from one set of diagonals to the next. Example : What size wire is re- quired for 10 lamps of '775 amperes each, at 50 feet, for a loss of one volt ? Solution : Starting with the cur- rent for one lamp, -775 amperes (see scale below centre), follow it to the left until it intersects the diagonal representing one volt loss, thence up to the diagonal representing 10 lamps, thence to the right to the diagonal representing 50 feet, and from here down to the scale of the circular mils or gauge numbers, on which the read- ing is found to be about 8,200 circu- lar mils, or a No. 11 B. S. wire. Fig. 1875 is an incandescent elec- tric lamp socket of the Bryant Elec- tric Company. Fig. 1876 is a switch of the Hart and Hegeman Company. APPENDIX. sor All of the above drawings are made in a style in which the exterior shell is trans- parent, showing the interior mechanism, and known as "ghost cuts." FIG. 1876. Area. Chms pr 1000 ft. No. at 70° F. B. & S. Diameter, Mils. Circular Current Guage. Mils (d2) allowed by 1 mil = -001 in. Underwriter's Code. 0000 460-000 211600-00 175 .000 409-640 167805-00 145 00 364-800 133079 '04 120 0 324-860 105534-03 100 1 5289-300 83694-20 95 2 257-630 66373-00 70 3 229-420 52633-40 60 4 204-310 41742-57 50 5 181-940 33102-00 45 6 162-020 26250-50 35 7 144-280 20816-70 30 8 128-490 16509-00 25 9 114-430 13094-00 10 101 -890 10381-00 20 11 90-742 8234-10 12 80-808 6529-90 15 13 71-901 5178-40 14 64-084 4106-80 10 LUNDELL MOTOR. 808 APPENDIX TABLE OP DENSITY OP GASES AND VAPOURS, AIR AT THE SAME TEM- PERATURE AND PRESSURE BEING 1-0 ; ALSO THE WEIGHT OF A CUBIC FOOT AT 62° FAHR., UNDER AN ATMOSPHERIC PRESSURE OF 29-92 INCHES OF MERCURY. Density of air. Specific gravity. Weight of cubic foot in pound. Cubic feet. Air (atmospheric) 1-00000 •001221 •07610 13-14 •06926 •000085 •00527 189-70 Oxygen ga^. 1-10563 •001350 •08414 11-88 Nitrogen gas •97137 •001185 •07383 13-54 Carbonic-acid gas 1-52901 •001870 •11636 8-59 Carbonic-oxide gas •9674 •00118 •07364 13-60 Vapour of water •6235 •000761 •04745 21-07 •' " alcohol 1-589 •00194 • 12092 8-27 " " sulphuric ether 2-586 •00316 •19680 5-08 " " oil of turpentine 4-760 •00581 •36224 2-76 SPECIFIC GRAVITY OP LIQUIDS AT 60° FAHR. Acid, muriatic 1-200 Acid, nitric 1-217 Acid, sulphuric 1*849 Alcohol, pure -794 Ammonia, 27-9 per cent -891 Carbon disulphide 1-260 Ether, sulphuric . -720 Oil, linseed '940 Oil, olive -920 Oil, petroleum '780- -880 Oil, turpentine • 870 Oil, whale -920 Tar 1-000 Vinegar 1-080 Water 1-000 Water, sea. . . , . . 1-026-1 -030 SPECIFIC GRAVITIES AND WEIGHTS OF EARTHS, ETC. SUBSTANCE. Common specific gravity. Average weight per cubic foot. SUBSTANCE. Common specific gravity. Average weight per cubic foot. Alabaster 2-73 3-57 1-13 1-40 4-0-4-86 2-74 1-71 1-6-1-8 1-6-2-16 2-3 1-28 •96 1-93 1-40 1-24-1-30 1-0 2-08 171 192 70 87 250-304 171 107 100-115 100-125 140-150 80 60 121 80-95 77-81 62 120-140 80-110 250 162 150-200 160-170 138 110 135 61 Gypsum. 2-24 •80 2-88 2-4 2-72 2-08 2-08 2-72 2-72 2-24 2-80 2-80 •96 2-64 8-96 1-09 •95 2-16 1-60 2-32 2-80 2-72 2-03 1-95 2-88 140 50 180 150 170 130 130 170 170 140 175 175 60 165 560 68 60 135 100 145 175 170 127 122 180 Asbestos ,7f- -"•• • Lime quick Asphalt, California " Trinidad Limestone Magnesia carbonate .... Marble. Barvtes Basalt Masonry, concrete " rubble Borax Brick, masonry " granite. . .. Bricks " limestone " sandstone .... Mica " fire Cement, Portland " Rosendale Clay Porphyry Coal Quartz. Coal tar Red lead. Coke Concrete Rubber pure Earth Salt, common and rock. Sund Emerv 4-0 2-60 Feldspar Glass Slate Gneiss and granite Graphite 2:20 Soapstone Sulphur Gravel Grindstone 2-14 •98 Trap Gutta-percha APPENDIX. 809 SPECIFIC GRAVITY AND WEIGHT OF WOOD. WOOD. Specific gravity. Average weight per cubic foot. WOOD. Specific gravity. Average weight per cubic foot. Apple .. •73- -80 47 Lignum-vitas •65-1-33 62 Ash •60- -84 45 Lime •80 50 Bamboo •31- -40 22 Linden. •60 37 Beech •62- -85 46 Locust •73 46 Birch •56- -74 41 Mahogany •56-1-06 51 Box •91-1-33 70 Maple •57- -79 42 Butternut •38 24 Oak, live •96-1-10 64 Cedar •49- -75 39 " white •69- -86 48 Cherry •61- -72 41 " red •73- -75 46 Chestnut •46- -66 35 Palmetto Cork •24 15 Pine, long leaf •70 44 Cypress •41- -66 33 " white •35- -55 25 Ebony .. 1-13-1-33 76 " yellow •46- -76 38 Elm. - 55— * 78 38 Poplar •38- -58 30 Fir •48- -70 37 Spruce •40- -50 28 Gum •84-1-00 57 Sycamore •59- -62 37 Hackmatack •59 37 Tamarack •40 25 Hemlock •36- -41 24 Teak •66- -98 51 Hickory ... .... •69- -94 48 Walnut •50- -67 36 Hornbeam .. •76 47 " black.. •50 31 PROPERTIES OF METALS. METAL. Specific gravity. Weight per cubic foot. Melting point, degrees Fahr. Tensile strength, pounds per square inch. Expansion in 100 ft. from temp. 32° to 212° F. Aluminum 2-63 166 1,400 26,000 Antimony 6'76 421 842 •1083 Bismuth 9-82 612 510 6,400 •1392 Cadmium 8-65 539 Calcium 1-58 Chromium 5-00 Cobalt 8-60 Copper 8-7to 8-9 450 1,930 20,000 to 30,000 •1722 Gold pure 19-30 1215 1,915 •1552 " 22 carats " 20 " Iron cast 17-49 15-71 7-20 450 2 000 to 2,200 •1109 " wrought 7-68 480 2,700 to 2,900 46,000 to 48,000 •1220 Lead 11-36 709 625 •2848 Magnesium 1-70 106 1,200 Manganese 8-00 499 Mercury, 60° 13-58 847 662 Nickel 8'3to 8-9 537 3,000 21-50 1341 •0857 Potassium 0-86 144 Selinium 4-30 220 Silver 10-50 655 1,750 •1909 Sodium 0-97 Steel 7-84 490 2,500 IHigh grade, 70,- 000 to 80,000. Medium grade, (50 000 to 70 000 1-1079 Strontium 2-54 Soft grade, 52,000 to 60,000. Tellium 6-11 Thallium 11-85 Tin. 7*35 458 442 3,500 •2173 Tungsten 17-00 18-33 Zinc 7-14 445 780 5,000 to 6,000 •2942 810 APPENDIX. SOLDERS. Copper. Tin. Lead. Zinc. Antimony. Silver. Nickel. Lead, melts at 441° Tin melts at 340° •• 33 67 67 33 Spelter soft. 50 50 " hard 65 35 Steel 13 5 82 Brass or copper 50 50 47 47 6 66 33 1 Copper ... 53 47 German silver .. 38 54 ,. 8 Solders of lead and tin are termed soft solders, in plumbers' work the joints are wiped and the solder is in a mass. In soldering cornices, where there is a strain, the metal should be riveted as well. Solders containing copper are used for brazing. Sheet lead for sulphuric-acid chambers is joined by burning the sheets by a blowpipe. The welding of various metals is now effected by electricity. In joining one metal to another, one must be fluid; and mercury, being usually fluid, combines with most metals except iron and platinum. An amalgam of tin or cold solder can be applied by friction to polished iron and form a surface which admits of being soldered. Fusible Alloys. — A fusible alloy composed of 50 bismuth, 25 tin, and 25 lead melts at 212° •, the melting point may be still further reduced by a larger percentage of bismuth, and it is used either as a solder or a fusible plug. In automatic fire extinguishers the cap of the sprinkler is soldered with this alloy, and melts at about 170°. For fusible plugs in boilers, the United States supervising inspectors specify Banca tin, which melts at about 445° F. The plug must be at least |" smallest diameter. ALLOYS AND COMPOSITIONS. Cop- per. Zinc. Tin. Nickel. Lead. Alu- mi- num. Steel. Anti- mony. Tensile strength per sq. inch. Aluminum bronze 90-0 33£ 10-0 lumi 90-0 75.000- 90,000 78,327 " brass 33i Add 10-0 89-3 88-9 81-0 33i per cent t num bi onze .. " composition. Babbitt's metal, light duty " " for bear- ing's 1-8 3-7 8-9 7.4 16-0 2-0 1-0 98-0 2-0* 51-1 31-9 3-2 13-8 42.560 49,280 57,000 Muntz metal 6-25 67-3 93-75 13-0 Manganese alloy \ 1-2 96:75 18-0^ •5|| 3-25 Sheathing metal 56-0 66-0 50-0 - 61-0 44-0 2i:6' 35-0 22-0 29-0 2-0 12-0 it « Sterrometal Iron. 2-0 Anti- monv. 25 -0 12-5 56-8 85,120 Type metal 75-0 87-5 White " 7-4 69-8 7.4 25-8 28-4 4-4 " " hard.., * Chromium, 2'0. f Twenty-five per cent manganese to copper doubles its tensile strength without diminishing its ductility. \ Manganese, 18'0. || Silicon, '5. APPENDIX. 811 TABLES OF THE CIRCUMFEEENCES OF CIRCLES TO THE NEAREST FRACTION OF PRACTICAL MEASUREMENT ;' ALSO, THE AREAS OF CIRCLES, IN INCHES AND DECIMAL PARTS, LIKEWISE OF FEET AND DECIMAL PARTS. Circumfer- Diameter Area Area Circumfer- Diameter Area Area ence in feet in in square in square ence in feet in in square in square and inches. inches. inches. feet. and inches. inches. inches. feet. TABLES OF THE CIKCUMFEKENCES OF CIECLES, ETC.— (Continued.) Circumfer- Diameter Area Area Circumfer- Diameter Area Area ence in feet in in square in square ence in teet in feet and in square in square and inches. inches. inches. feet. and inches. inches. inches. feet. 813 TABLES OF THE CIECUMFEKENCES OF CIRCLES, ETC.— (Continued.) Circumfer- Diameter Area Area Circumfer- Diameter Area Area ence in feet in feet and in square in square ence in teet in feet and in square in square and inches. inches. inches. feet. and inches. inches. inches. feet. 14 8| 4 8* 2485-0 17-26 11 1J 3 6J 1418-6 9-84 14 9i 4 8^ 2507-2 17-41 11 2i 3 6f 1435-4 9-96 14 lOi 4 8f 2529-4 17-56 11 3 3 7 1452-2 10-08 14 11 4 9 2551-8 17-72 11 8J 3 7i 1469-1 10-20 14 lls7 4 9J: 2574-2 17-88 11 4| 3 7£ 1486-2 10-32 15 Of 4 9J 2596-7 18-03 11 5fc 3 7f 1503-3 10-44 15 If 4 9f 2619-3 18-19 814: APPENDIX. TABLES OF THE CIKCUMFEKENCES OF CIRCLES, ETC.— (Continued.) Circumfer- Diameter Area Area Circumfer- Diameter Area Area ence in feet in feet and in square in square ence in feet in teet and in square in square and inches. inches. inches. feet. and inches. inches. inches. feet. 15 2£ 4 10 2642-1 18-35 18 10i 6 0 4071-5 28-27 15 3 4 10J 2664-9 18-51 18 10£ 6 OJ 4099-8 28-47 15 3f 4 10$ 2687-8 18-66 18 llf 6 Oi 4128-2 28-67 15 4i 4 lOf 2710-8 18-82 19 0£ 6 Of 4156-8 28-87 15 r>t 4 11 2734-0 18-98 19 l| 6 1 4185-4 29-07 15 6i 4 Hi 2757-2 19-15 19 2i 6 1J 4214-1 29-27 15 6£ 4 iii 2780-5 19-31 19 2} 6 H 4242-9 29-47 15 7f 4 llf 2803-9 19-47 19 3£ 6 l| 4271-8 29-67 15 8i 5 0 2827-4 19-63 19 4$ 6 2 4300-8 29-87 15 9J 5 Oi 2861-0 19-80 19 5J 6 2i 4329-9 30-07 15 10 5 0^ 2874-8 19-96 19 6 6 2i 4359-2 30-27 15 lOf 5 Of 2898-6 20-13 19 6f 6 2£ 4388-5 30-47 15 llf. 5 1 2922-5 20-29 19 7i 6 3 4417-9 30-68 16 Of 5 11 2946-5 2046 19 8| 6 3\ 4447-4 30-88 16 U 5 if 2970-6 20-63 19 9i 6 3| 4477-0 31-09 16 2 5 If 2994-8 20-80 19 9| 6 3f 4506-7 31-30 16 2f 5 2 3019-1 20-96 19 lOf 6 4 4536-5 31-50 16 3* 6 2* 3043-5 21-13 19 Hi 6 4J 4566-4 31-71 16 4J 5 2i 3068-0 21-30 20 01 6 4^ 45963 31-92 16 &l 5 2| 3092-6 21-48 20 l| 6 4f 4626-4 32-13 16 5£ 5 3 3117-2 21-65 20 11 6 5 4656-6 32-34 16 6£ 5 3* 3142-0 21-82 20 2| 6 5J 4686-9 32-55 16 7£ 5 3J 3166-9 21-99 20 3J 6 5J 4717-3 82-76' 16 8i 5 3f 3191-9 22-17 20 4J 6 5f 4747-8 32-97 16 9 5 4 3217-0 22-34 20 5 6 6 4778-3 33-18 16 9f 5 4J 3242-2 22-51 20 5| 6 6£ 4809-0 33-40 16 10| 5 4\ 3267-5 22-69 20 6£ 6 6£ 4839-8 33-61 16 llf 5 4f 3292-8 22-87 ^!0 7f 6 6| 4S70-7 33-82 17 Oi 5 5 3318-3 23-04 20 8| 6 7 4901-6 34-04 17 1 5 5J. 3343-9 23-22 20 8| 6 7J 4932-7 34-25 17 If 5 5| 3369-6 23-40 20 9| 6 7^ 4963-9 34-47 17 2£ 5 5f 3395-3 23-58 20 10| 6 7t 4995-1 34-69 17 3| 5 6 3421-2 23-76 20 11 J 6 8 5026-5 34-91 17 4J 5 64 3447-2 23-94 21 OJ 6 8J 5058-0 35-12 17 4| 5 6£ 3473-2 24-12 21 0| 6 81 5089-5 35-34 17 6$ 5 6f 3499-4 24-30 21 if 6 8| 5121-2 35-56 17 6i 5 7 3525-1 24-48 21 2| 6 9 5153-0 35-78 17 7i 5 7£ 8552-0 24-67 21 3J 6 9J 5184-8 36-01 17 8 5 7i 3578-5 24-85 21 4 6 9| 5216-8 36-23 17 8f 5 7f 3605-0 25-03 21 4| 6 9| 5248-8 36-45 17 9| 5 8 3631-7 25-22 21 6| 6 10 5281-0 36-67 17 10| 5 8J 3658-4 25-40 21 6| 6 10 J 5313-2 86-89 17 Hi 5 8i 3685-3 25-59 21 7i 6 10i 5345-6 37-12 17 11* 5 8| 3712-2 25-78 21 7* 6 10| 5378-0 37-35 18 Of 5 9 3739-3 25-96 21 8| 6 H 5410-6 37-57 18 H 5 9i 3766-4 26-15 21 9* 6 11J 5443-2 37-80 18 2i 5 9i 3793-7 26-34 21 10| 6 III 5476-0 38-03 18 3i 5 9f 3821-0 26-53 21 ll| 6 llf 5508-8 38-26 18 8J 5 10 3848-5 26-72 21 11| 7 0 5541-7 38-48 18 4| 5 10J 3876-0 26-92 22 0$ 7 0^ 5574-8 38-71 18 5i 5 10| 3903-6 27-11 22 If 7 O.V 5607-9 38-94 18 6i 5 lOf 3931-4 27-30 22 2i 7 9| 5641-1 39-17 18 7 5 11 3959-2 27-49 22 3 7 1 5674-5 39-41 18 7f 5 1H 3987-1 27-69 22 3t 7 H 5707-9 39-64 18 8| 5 Hi 4015-2 27-88 22 4^ l H 5741-4 39-87 18 9| 5 llf 4043-3 28-08 22 5| 7 If 5775-0 40-10 APPENDIX. 815 TABLES OF THE CIECUMFERENCES OF CIKCLES, ETC.— (Continued.) Circumfer- Diameter Area Area Circumfer- Diameter Area Area ence in feet and inches. in feet and inches. in square inches. in square feet. ence in feet and inches. in feet and inches. in square inches. in square ieet. TABLE OF DIAMETERS, CIRCUMFERENCES, AND AREAS OF CIRCLES. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. 1 3-1416 0-7854 51 160-22 2042-82 101 317-30 8011-85 2 6-28 3-14 52 163-36 2123-72 102 320-41 .8171-28 3 9-42 7-07 53 166-50 2206-18 103 323-58 8332-29 4 12-57 12-57 54 169-65 2290-22 104 326-73 8494-87 5 15-71 19-63 55 172-79 2375-83 105 329-87 8659-01 6 18-85 28-27 56 175-93 2463-01 106 333-01 8824-73 7 21-99 38-48 57 179-07 2551-76 107 336-15 8992-02 8 25-13 50-27 58 182-21 2642-08 108 339-29 9160-88 9 28-27 63-62 59 185-35 2733-97 109 342-43 9331-32 10 31-42 78-54 60 188-50 2827-43 110 345-57 9503-32 11 34-56 95-03 61 191-64 2922-47 111 348-72 9676-89 12 37-70 113-10 62 194-78 3019-07 112 351-86 9852-03 13 40-84 132-73 63 197-92 3117-25 113 355-00 10028-75 14 43-98 153-94 64 201-06 3216-99 114 358-14 10207-03 15 47-12 176-71 65 204-20 3318-31 115 361-28 10386-89 16 50-26 201-06 66 207-34 3421-19 116 364-42 10568-32 17 53-41 226-98 67 210-49 3525-65 117 367-57 10751-32 18 56-55 254-47 68 213-63 3631-68 118 370-71 10935-88 19 59-69 283-53 69 216-77 3739-28 119 373-85 11122-02 20 62-83 314-16 70 219-91 3848-45 120 376-99 11309-73 21 65-97 346-36 71 223-05 3959-19 121 380-13 11499-01 22 69-11 380-13 72 226-19 4071-50 122 383-27 11689-87 23 72-26 415-48 73 229-34 4185-39 123 386-42 11882-29 24 75-40 452-39 74 232-48 4300-84 124 389-56 12076-28 25 78-54 490-87 75 235-62 4417-86 125 392-70 12271-85 26 81-68 530-93 76 238-76 4536-46 126 395-84 12468-98 27 84-82 572-56 77 241-90 4656-63 127 398-98 12667-69 28 87-96 615-75 78 245-04 4778-36 128 402-12 12867-96 29 91-11 660-52 79 248-19 4901-67 129 405-26 13069-81 30 94-25 706-86 80 251-33 5026-55 130 408-41 13273-23 31 97-39 754-77 81 254-47 5153-00 131 411-55 13478-22 32 100-53 804-25 82 257-61 5281-02 132 414-69 13684-78 33 103-67 855-30 83 260-75 5410-61 133 417-83 13892-91 34 106 -Bl 907-92 84 263-89 5541-77 134 420-97 14102-61 35 109-96 962-11 85 267-03 5674-50 135 424-11 14313-88 36 113-10 1017-88 86 270-18 5808-80 136 427-26 14526-72 37 116-24 1075-21 87 273-32 5944-68 137 430-40 14741-14 38 119-38 1134-11 88 276-46 6082-12 , 138 433-54 14957-12 39 122-52 1194-59 89 279-60 6221-14 139 436-68 15174-68 40 125-66 1256-64 90 282-74 6361-73 140 439-82 15393-80 41 128-80 1320-25 91 285-88 6503-88 141 442-96 15614-50 42 131-95 1385-44 92 289-03 6647-61 142 446-11 15836-77 43 135-09 1452-20 93 292-17 6792-91 143 449-25 16060-61 44 138-23 1520-53 94 295-31 6939-78 144 452-39 16286-02 45 141-37 1590-43 95 298-45 7088-22 145 455-53 16513-00 46 144-51 1661-90 96 301-59 7238-23 146 458-67 16741-55 47 147-65 1734-94 97 304-73 7389-81 147 461-81 16971-67 48 150-80 1809-56 98 307-88 7542-96 148 464-96 17203-36 49 153-94 1885-74 99 311-02 7697-69 149 468-10 17436-62 50 157-08 19B3-50 100 314-16 7853-98 150 471-24 17671-46 APPENDIX. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. TABLE OF DIAMETERS, CIRCUMFERENCES, AND AREAS OF CIRCLES. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. TABLE OP DIAMETERS, CIRCUMFERENCES, AND AREAS OF CIRCLES. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. Diam- eter. Circum- ference. Circular area. TABLE OF SQUARES, CUBES, SQUAEE AND CUBE ROOTS OF NUMBERS. Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. 821 TABLE OF SQUARES, CUBES, SQUARE AND CUBE ROOTS OF NUMBERS— ( Continued). Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. TABLE OF SQUARES, CUBES, SQUARE AND CUBE ROOTS OF NUMBERS— (Continued) Squares. Cubes. No. Square roots. Cube roots. 1 ; Squares. Cubes. No. Square roots. Cube roots. 64009 16194277 253 15-905 6-324 99856 31554496 316 17-116. 823 TABLE OF SQUARES, CUBES, SQUAEE AND CUBE ROOTS OF NUMBERS— ( Continued). Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. APPENDIX. TABLE OF SQUARES, CUBES, SQUAEE AND CUBE EOOTS OF NUMBEES— (Continued'). Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. 825 TABLE OF SQUARES, CUBES, SQUAEE AND CUBE EOOTS OF NUMBERS— (Continued). Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. 26-210 8-823 562500 421875000 750 27-386 9-085 473344 325660672 688 26'22y 8-828 564001 423564751 751 27-404 9-089 474721 327082769 689 26-248 8-832 565504 425259008 752 27-422 9-093 476100 328509000 690 26-267 8-836 567009 426957777 753 27-440 9-097 477481 329939371 691 26-286 8'840 568516 428661064 754 27-459 9-101 478864 331373888 692 26-305 8-845 570025 430368875 755 27-477 9-105 480249 332812557 693 26-324 8-849 571536 432081216 756 27-495 9-109 826 APPENDIX. TABLE OF SQUARES, CUBES, SQUARE AND CUBE ROOTS OF NUMBERS— (Continued). Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. 82T TABLE OF SQUAEES, CUBES, SQUAEE AND CUBE KOOTS OF NUMBERS— ( Continued). Squares. Cubes. No. Square roots. Cube roots. Squares. Cubes. No. Square roots. Cube roots. 