T It I 601 TRU
Tower, ii. 495.
Castle, i. 110.
Church, i. 153.
Cathedral, i. 115.
Gothic Architecture, i. 464.
Round Tower, ii. 392.
Town, ii. 495.
Town-Hall, ii. 495. '
Trabs, ii. 495.
Trac ere, ii. 495.
Origin of, ii. 495.
Of Plate Tracery, ii. 495.
“ Bar “ , ii. 495.
“ Geometrical Tracery, ii. 495.
“ Flowing “ , ii. 495.
“ Flamboyant “ , ii. 496.
Trail, ii. 496.
Trammel, ii. 496.
Transept, ii. 496.
Cathedral, i. 115.
Church, i. 151.
Transition, ii. 496.
Gothic Architecture, i. 450.
Norman Architecture, ii. 238.
Transom, in Joinery , ii. 496.
Transom, a Mullion, ii. 496.
Transtra, ii. 496.
Transverse, ii. 496.
Transverse Strain, ii. 496.
Transits, ii. 496.
Travelling Crane,, ii. 496.
Traverse, to Plane, ii. 496.
Traverse, a Gallery, ii. 496.
Tread of the Step of a Stair , ii. 496.
Trebeation, ii. 496.
Trefoil, ii. 496.
Trellis Work, ii. 496.
Trkssel, or Trussel, ii. 496.
Trussel, ii. 509.
Triangle, ii. 496.
Triangular Compasses, ii, 496.
Instruments, ii. 13.
Triclinium, ii. 496.
Cyzicene, i. 225.
Triforium, ii. 496.
Triglyphs, ii. 496.
Trigonometry, ii. 496.
Definitions, ii. 496.
Trigonometrical formulas for finding the sine, cosine,tangent, secant, &c., in terms of each other,ii. 499.
To find the sines, cosines, tangents, and secants, for arcsof 30°, 45°, 60°, and 120°, ii. 499.
To transfer their values to circles of different radii,ii. 500.
The sine and cosine of any two unequal arcs of the samecircle being given, to find the sine of any multiple ofthe lesser arc, ii. 500.
To find the sine of an arc in terms of the sine of halfthe arc, ii. 500.
Formulae deduced from the above:—
sin. (a + b) + sin. (a — b) = 2 sin. a cos. b, ii. 500.
m A-71 771 — 71
sin. m + sin. n - 2 sin. —J- cos. —— , ii. 501.vol. n. 7 o
sin. (a + b) sin. (a — b) = (sin. a -f- sin. b) (sin. a —sin. b), ii. 501.
sin. 3 a = 3 sin. a — 4 sin. 3 a, ii. 501.
To find the sine and cosine of an arc in terms of the sineof twice the arc, ii. 501.
The sides of any plane triangle are as the sines of theangles opposite them, ii. 502.
In any plane triangle, as the sum of the two sides is totheir difference, so is the tangent of half the sum ofthe opposite angles to the tangent of half their differ-ence, ii. 502.
In any plane triangle, if a perpendicular be let fall uponthe longest side from the opposite angle ; then as the ;
sura of the segments of the base is to the sum of the j
other two sides, so is the difference of the sides tothe difference of the segments of the base, ii. 502. j
Solutions of three cases of oblique-angled triangles :— '
Two angles and a side being given, to find the remainingsides, ii. 502. !
Two sides of an angle opposite to one of them beinggiven, to find the other two angles and the remainingside, ii. 503.
Given two sides and the included angle, to find the othertwo angles and the third side, ii. 503
Given the three sides, to find the angles, ii. 503.
Application of above analogies, ii. 504.
Given the angles and hypothenuse of a right-angled jplane triangle, to find the base and perpendicular, ■ii. 505.
Given the angles and one side, to find the hypothenuseand other side, ii. 505.
Given the hypothenuse and one side to find the anglesand the other side, ii. 506. |
Given the base and perpendicular, to find the angles and jhypothenuse, ii. 506.
To find the height of an inaccessible object, ii. 507.
“ distance between two inaccessible objects,ii. 507.
Trilateral, ii. 507.
Trim, ii. 507.
Trimmed, ii. 507.
Trimmed Out, ii. 507.
Trimmer, ii. 507.
Trimming-Joists, ii. 507.
Trine Dimensions, ii. 507.
Tripartition, ii. 508.
Tripod, or Tripos, ii. 508.
Triptic, or Triptych , ii. 508.
Trisection, ii. 508.
Trochilus, ii. 508.
Scotia, ii. 409.
Mouldings, ii. 221.
Trochoid, ii. 508.
Cycloid, i. 221.
Trophy, ii. 508.
Trough, ii. 508.
Trough-Gutter, ii. 508.
Trowel, ii. 508.
Tools, ii. 494.
Trowel Point, ii. 508.
Trugg, ii. 508.
Truncated, ii. 508.
Truncated Pyramid, ii. 508.
Trunk, ii. 508.
Truss, ii. 508.