A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page xvi
... base is equal to the circumference and its altitude equal to the radius ; and confequently that its area is found by drawing the radius into half the circumference ; and fo reduced the quadrature of the circle to the determination of ...
... base is equal to the circumference and its altitude equal to the radius ; and confequently that its area is found by drawing the radius into half the circumference ; and fo reduced the quadrature of the circle to the determination of ...
Page 7
... base . Similar triangles are those whofe angles are equal , each to each . Similar plane figures are thofe which confift of the fame number of angles equal , each to each , and placed in the fame order ; and may be refolved into the ...
... base . Similar triangles are those whofe angles are equal , each to each . Similar plane figures are thofe which confift of the fame number of angles equal , each to each , and placed in the fame order ; and may be refolved into the ...
Page 25
... base , or fum of the fegments : Is to the fum of the other two fides :: So is the difference of thofe fides : To the difference of the fegments of the base . Then half the difference being added to and fub- tracted from half their fum ...
... base , or fum of the fegments : Is to the fum of the other two fides :: So is the difference of thofe fides : To the difference of the fegments of the base . Then half the difference being added to and fub- tracted from half their fum ...
Page 30
... base ( b ) made by a perpendicular demitted aa - cc aa - bb - cc from its oppofite angle , and b ÷ + b adjoining to the fide 2a , we fhall have √ 4a2b2 _aa_bb_cc 2 2 au - cc b half the dif = b the fegment ad- 4a2- aa + bb - cc bb for ...
... base ( b ) made by a perpendicular demitted aa - cc aa - bb - cc from its oppofite angle , and b ÷ + b adjoining to the fide 2a , we fhall have √ 4a2b2 _aa_bb_cc 2 2 au - cc b half the dif = b the fegment ad- 4a2- aa + bb - cc bb for ...
Page 64
... base is 40 and perpendicular 30 feet ? Anf . 600 . EXAMPLE III . How many fquare yards are in a triangle whose base is 49 feet , and perpendicular 25 feet ? Anf . 68.736 . EXAMPLE IV . How many acres are in a triangular field of which ...
... base is 40 and perpendicular 30 feet ? Anf . 600 . EXAMPLE III . How many fquare yards are in a triangle whose base is 49 feet , and perpendicular 25 feet ? Anf . 68.736 . EXAMPLE IV . How many acres are in a triangular field of which ...
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Common terms and phrases
abfciffa againſt alfo Alnwick alſo altitude angle area Verf bafe baſe becauſe breadth bung cafe cafk circle whofe circumference cofine cone confequently conftruction conjugate COROLLARY defcribe difference dimenfions diſtance ditto divided divifion ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fide figure fimilar fince find the area firſt fixed axe fluxion folid fome fpheroid fpindle fquare fruftum fubtract fuch fuppofing furface gallons girt greateſt half head diameter hence hoof hyperbola inches interfecting laft laſt laſt problem lefs length meaſure method middle moſt multiply muſt Newcaſtle oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule Schoolmafter ſhall Sliding Rule ſphere ſquare ſtation tangent theſe thickneſs thofe thoſe tranfverfe trapezium triangle uſed vertex Wherefore whofe whofe height whole whoſe zone ΙΟ