A Treatise On Arches. Designed for the Use of Engineers And Students in Technical Schools

Cover A Treatise On Arches. Designed for the Use of Engineers And Students in Technical Schools
A Treatise On Arches. Designed for the Use of Engineers And Students in Technical Schools
Howe, Malverd A. (Malverd Abijah), B. 1863
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3IO TABLES.
311 XIV.
XV.
XVI.
XVII.
XVIII.
XIX.
XX.
XXI.
XXII.
XXIII.
XXIV.
XXV.
XXVI.
XXVII.
1 + y&X- 15 + 5o>fe — 6o>P + 2^) "• ek " "• 3 — \2k + 24>&' — i6>6" = Jj,.
^(sin" 00 — sin' ol) + cos 0o(cos a + flr sin or — cos 0^ — 0^ sin 0j _ .
20, cos" 00—3 sin 00 cos 0, + 0o "~ ''' 2;r** cos" ;r° — 3 sin ;ir** cos ;r** + ;tr** = A.^ ;r° -(- sin ;ir® cos ;t:° = J„.
;t:** — sin x"^ cos ;r° = y5„.
sin x^ — x^ cos x^ = -^^-^j..
;r°" + ;r° sin ;ir'* cos ;r^ - 2 sin" x"" = J,,- 2 sin ;r° cos ;r° + ^^
... sin* ;t:® = -J„.
cos x^ + j:° sin x^ = -J„.
.r°" — ;r° sin x^ cos ;t:° = J„.
;,:• + ;tr° sin ;t:° cos x"" = J„.
Arc ;r° and (arc 4?°)'.
sin ;r°, cos jr**, and i — cos ;r^ sin" ;ir°, cos" ;r°, sin :r** cos x^\ sin* ;r** and cos* x^.
XXVIII. ;r°sin;r^ ;r** cos ;ir°, and sin x^ XXIX. ;i:^ sin" x"", x"" cos' jr°, and ;r° sin jr cos 4^^ XXX. General Dinnensions of Masonry Arches con- structed at Different Periods.
XXXI. Dimensions of a few Cast-iron Arches.


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