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Section.

Inaccessible distances where the line partly or entirely is inaccessible, 221 This embraces fourteen cases, or all that can possibly be met in practice. From a given point P to find the distances PA, PB, PC,

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in the triangle ABC, whose sides A B, B C, and CD are given, this embraces three possible positions of the observer at l',

238

SPHERICAL TRIGONOMETRY.

Properties of spherical triangles.

Solution of right angled spherical triangles,

Page 7211*9,

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Napier's rules for circular parts, with a table and examples,
Quadrantal spherical triangles,

363

364

Oblique angled spherical triangles,

365

Fundamental formula applicable to all spherical triangles,
Formulas for finding sides and angles in every case,

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Definitions and general properties of refraction, parallax dip, greatest azimuth, refraction in altitude, etc., etc.,

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Find the variation of the compass by an azimuth of a star.
Find latitude by an observation of the sun,

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Find latitude when the celestial object is off the meridian,
Find latitude by a double altitude of the sun,
Find latitude by a meridian alt. of polaris or any circumpolar star,
Find latitude when the star is above the pole,
Find latitude by the pole star at any hour,
Errors respecting polaris and alioth in Ursamajoris when on the same
vertical plane. (Note.).

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Letters to the British and American Nautical Ephemeris offices,
Application and examples for Observatory House, corner of Twenty-
sixth and Halsted streets, Chicago. Lat. 41, 50′, 30′′. Long. 87,
34′, 7", W.,.

Remarkable proof of a Supreme Being. Page 721*24,
True time; how determined; example,

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True time by equal altitudes; example. Page 7211*25,

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True time by a horizontal sundial, showing how to construct one,
Longitude, difference of,..

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Longitude; how determined for Quebec and Chicago, by Col.

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Longitude by the Drummond light and moon culminating stars,
Longitude by lunar distances; Young's method and example, .
Reduction to the centre, that is reducing the angle taken near the
point of a spire or corner of a public building, to that if taken from
the centre of these points; by two methods, .
Inaccessible heights. When the line A B is horizontal,
When the ground is sloping or inclined, three methods,

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Method II. First meridian pass through the most Westerly station,. 239 Method III. First meridian pass through the most Northerly station, 260 Offsets and inlets, calculation of,

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To calculate an extensive survey where the first meridian is made a base line, at each end of which a station is made, and calculated by the third method,

264

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Where the original posts or stakes are lost, law to establish,
Compass.--Variation of examples. 264h and ..

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264b

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264c

264d

Find at what time polaris or any other star will be at its greatest
azimuth or elongation,

Find its greatest azimuth or elongatión,
Find its altitude at the above time, .

Find when polaris or any other star culminate or pass the meridian, .264e
Example for altitude and azimuth in the above,

261f

How to know when polaris is above, below, East or West of the
true pole,

Page 71,

264g
264h

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How to establish a meridian line.
To light or illume the cross hairs,.

System of rectangular surveying,

What the United States law requires to be done,
Measurements, chaining, and marking,

Base lines, principal meridians, correction or standard lines,
North and south section lines, how to be surveyed,

East and west section lines, random and true lines, .
East and west intersecting navigable streams,
Insuparable obstacles, witness points, .

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Limits in closing on navigable waters and township lines,
Meandering of navigable streams,

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Page 7211*35.

Base line and primary triangles, secondary triangles. How triangles
are best subdivided for detail and checked. Method of keeping
field-books. When there are wood traverse surveying. To protract
the angles, ordnance method,

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Method of protraction by a table of tangents, etc.
Plotting, McDermott's method, using two scales,
Finishing the plan or map, and coloring for various States of cultiva-
tion,

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Area cut off by a line drawn from a given point, 405. By a line
parallel to one of its sides, 40!. By a line at a given angle to one
of its sides, 406,

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From a given point P within a given figure to draw a line cutting off
a given area,

420

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From a given triangle to cut off a given area by a line drawn through
a given point,

420a

To divide any quadrilateral figure into any number of equal parts,
409, continued in 419a, .

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Form of field-book used by the English and Irish Boards of Public
Works,

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Additional, and corrections, geodetical jurisprudence, laying out
curves, canals, corrections of D'Arcy's formula, .

GEODETICAL JURISPRUDENCE.

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421

306a

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307

United States laws respecting the surveying of the public lands,
Supreme court decisions of land cases of the State of Alabama,
Supreme court decisions of land cases of the States of Kentucky and
Illinois,
Various supreme court decisions of several States on boundary lines,
highways, water courses, accretion and alluvion, 309, highways,
09d, backwater, Page 72в5, 309d, up to date,
Ponds and lakes,

New streets (continued 421). Page 72в10,.

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SIR RICHARD GRIFFITH'S SYSTEM OF VALUATION.
Act of Parliament in reference to,
Average prices of farm produce, and price of live weights,
Lands and buildings for scientific, charitable, or public purposes, how
valued,

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Field-book, nature and qualification of soils. 309g and 309,
Calcareous and peaty soils. 309% and 3097,

Von Thaer's classification of soils, table of, .

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Classification of soils with reference to their value,..

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Tables of produce, and scale for arable land and pasture. 309c, 309p, 309q
Fattening, superior finishing land, dairy pasture, store pasture, land
in medium situation and local circumstances,.

309r

Manure, market, condition of land in reference to trees and plants, 309%
Mines, Tolls, Fisheries, Railway wastę,

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Valuation of buildings, classification of same, measurement of,

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310j

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Horse power, modulus of, for overshot wheels,
Form of field-book for water wheels, head of water, etc.,.
Overshot, undershot, and turbine wheels,
Valuation of water power, modifying circumstances,
Horse power determined from the machinery driven,
Beetling and flour mills. Mills in Chicago, note on,
Valuator's field-book, form of, used on the Ordnance
Ireland,
Valuation of slated houses, thatched houses, country and towns.
Tables I to V,.

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3100

310p

valuation of
310 to 310w

.310v to 310A
..310B

Geological formation of the earth. Table, 72b52,
Rocks, quarts, silica, sand, alumnia, potash, lime, soda, magnesia,
felspar, albite, labradorite, mica, porphyritic, hornblende, augite,
gneiss, porphyritic, gneiss, protogine, serpentine, syenite, por-
phyritic granitoid, talc, steatite or soapstone, limestones, impure
carbonate of lime, Fontainbleau do., tafa, malaclite satin spar, car-
bonate of magnesia or dolomite,.

Sir William Logan's report on six specimens of dolomite,
Magnesian mortars. Page 72b56,

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Limestones, cements used in Paris, artificial cements, plaster of Paris,
water lime, water cement, building stones. Page 72B56,
Sands (various), Fuller's earth, clay for brick, potter's, pipe, fire brick,
marl, chalk marl, shelly and slaty marl. Page 72B57,
Table of rocks, composition of 310c, composition of grasses,
Table of rocks, composition of trees, weeds, and plants,

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Composition of grains, straws, vegetables, and legumes,

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.310G

Analysis and composition of the ashes of miscellaneous articles,
Analysis and percentage of water, nitrogen, phosphoric acid in

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Including antimony, arsenic, bismuth, cobalt, copper, nickel, zinc,
manganese, platinum, gold, silver, mercury, lead, and iron, with
all the varieties of each metal, where found, its lustre, fracture,
specific gravity, etc.,

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3.01

310

310K
.310nt

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79

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140

146

Hydraulic mean depth of a rectangular water course of a circle,
Parabolic sewer, 134. Table showing hydraulic mean depths of para-
bolic and circular sewers, each having the same sectional arcas," 13.5
Egg-shaped sewer, its construction and properties,
Rectilineal water courses, 144. Best form of conduits, including cir-
cular, rectangular, triangular, parabolic, and rectilineal, .
Table of rectilineal channels, where a given sectional area is enclosed
by the least perimeter, or surface in contact, .
A table of natural slopes and formulas,
Estimating the density of water, mineral, saline, sulphurous, chaly-
beate,.

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Solid matter in some of the principal places. Page 72197,
Annual rain fall in various places and countries,

Daily supply in various cities,

Conduits, or supply mains,

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Discharge throw pipes, and orifices under pressure,

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VENA CONTRACTA and coefficient m of contraction. P. 72B100, .310c*
Adjutages, experiments by Michellotti Weisbach. P. 72в101,.
Orifices with cylindrical and conical adjutages,
Table-Angles of convergence, discharge, and velocity,
Table-Blackwill's coefficient for overfall weirs. First and second
Experiments,

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.310E*

Experiments by Poncelet and Lebros. DuBuats, Smeaton, Brinley,
Rennie, with Poncelet and Lebros' table,
Example from Neville's hydraulics. Page 72B105,

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Formula by D'Arcy incorrect, page 264, but here corrected,
Formula, value of coefft., by Frances of Lowell, Thompson of Belfast
and Girard, of France,

Spouting fluids,

Water as a motive power. Available horse-power,
High pressure turbines for every ten horse-power.
Artesian wells, and reservoirs. Page 72×108,. .
Jetties, ..

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3100

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310B

310s

Sanitary hints,
Irrigation of lands,

Rawlinson's plan,

Supply of guano will soon be exhausted..

On the steam engine, horse-power. Admiralty rule, work done by
expansion,

PRESSURE OF FLUIDS ON RETAINING WALLS.

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Centre of pressure against a rectangular wall, cylindrical vessel, dams
in masonry, foundations of basins and dams, waste weir, thickness
of rectangular walls, cascades, 72BIII,
Retaining walls, Ancient, and Hindoo reservoirs,
To find the thickness of the rectangular wall A B to resist its being
turned over on the point D.

Page 72112,

REVETMENT WALLS.

Wall having an external batter,

Table for surcharges, by Poncelet,

Walls in masonry, by Morin, 310w3, dry walls,
The greatest height to which a pier can be built,
Piers and abutments,

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.310T

310t

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310г, 310c*

.31002

310w4

31076a

310x10

1.3109

Vauban, Rondeiet, English engineers, and Colonel Wurmbs. P. 72x115.
Pressure on the key and foundations, by Rankine, Fox, Brunlee,
Blyth, Hawkshaw, General Morin, Vicat,
Outlines of some important walls of docks and dams, including
India docks, London, Liverpool Seawall, dams at Poona and
Toolsee, near Bombay, East Indies, Dublin quay wall, Sunderland
docks, Bristol do. Kevetment wall on the Dublin and Kingston
Railway, Chicago street revetment walls, dam at Blue Island, near
Tunnels,

Blasting rock,

Chicago, dam at Jones' Falls, Canada.

PILE DRIVING, COFFER-DAMS, AND FOUNDATIONS,
The power of a pile, screw pile, hollow pile, . . . .
Examples-French standard, Nasmyth steamhammer.
are used as power. 728117,

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MR. MCALPINE'S formula derived from facts,
Cast-iron cylinders, when and where first used,
Foundations of timber. Pile driving engine,
Coffer-dams of earth, Thames tunnel, Victoria bridge in Montreal,
Canada,

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When trees should be cut, natural seasoning, artificial do., Napier's
process, 310v4, Kyan's process, corrosive sublimate, Bnrnett's
method, 3104c, Bethell's method, Payne's do., Boucher's do.,
Hyett's do., Lege and Perenot, Harvey's by exhausted steam,.. 728119
MORTAR, CONCRETE, AND CEMENT.

At Woolwich, Croton Water Works, Forts Warren and Richmond.
Page 72121.

VICAT'S METHOD. GROUTING, BY SMEATON.-Iron Cement.
STONEY'S experiments on cement. Page 728121,.

Cement for moist climates. Page 728122,.

Concrete in London and United States, .

Beton-Mole at Algiers, Africa,..

PRESERVATION OF IRON,

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