The New Practical Builder and Workman's Companion, Containing a Full Display and Elucidation of the Most Recent and Skilful Methods Pursued by Architects and Artificers ... Including, Also, New Treatises on Geometry ..., a Summary of the Art of Building ..., an Extensive Glossary of the Technical Terms ..., and The Theory and Practice of the Five Orders, as Employed in Decorative Architecture |
From inside the book
Results 1-5 of 23
Page 70
... ellipse to any length and breadth . 205. Method the first ( fig . 16 , pl . II ) .- Draw the line AC , and make AC equal to the length required ; bisect AC by a perpendicular BD , and make EB and ED each equal to half the breadth . To ...
... ellipse to any length and breadth . 205. Method the first ( fig . 16 , pl . II ) .- Draw the line AC , and make AC equal to the length required ; bisect AC by a perpendicular BD , and make EB and ED each equal to half the breadth . To ...
Page 71
... ellipse by means of the arcs of circles ( fig . 6 , pl . IV ) . Let AB be the length , and CD the breadth , as before . Draw BE perpen- dicular to CD . Make BF equal to EC . Bisect BF in f , and fC and ED , cutting each other in g ...
... ellipse by means of the arcs of circles ( fig . 6 , pl . IV ) . Let AB be the length , and CD the breadth , as before . Draw BE perpen- dicular to CD . Make BF equal to EC . Bisect BF in f , and fC and ED , cutting each other in g ...
Page 72
... ellipse as required . PROBLEM 33 . 210. A rectangle being given , to describe an ellipse , so that the two axes may have the same proportion as the sides of the rectangle ( fig . 3 , pl . IV ) . Let ABCD be the given rectangle ; it is ...
... ellipse as required . PROBLEM 33 . 210. A rectangle being given , to describe an ellipse , so that the two axes may have the same proportion as the sides of the rectangle ( fig . 3 , pl . IV ) . Let ABCD be the given rectangle ; it is ...
Page 74
... ellipse to revolve upon one its axes ; the axis thus fixed is called the axis of the ellipsoid , and the surface generated by the curve is termed the curved surface . : PROBLEM 37 . 218. To describe a conic section 74 THE NEW PRACTICAL ...
... ellipse to revolve upon one its axes ; the axis thus fixed is called the axis of the ellipsoid , and the surface generated by the curve is termed the curved surface . : PROBLEM 37 . 218. To describe a conic section 74 THE NEW PRACTICAL ...
Page 75
... Ellipse . In fig . 2 , the line of section DE is parallel to the side AC of the section of the cone ; in this case , the curve d ' hi , & c . E , is a Parabola . In fig . 3 , the line of section , DE , is not parallel to any side of the ...
... Ellipse . In fig . 2 , the line of section DE is parallel to the side AC of the section of the cone ; in this case , the curve d ' hi , & c . E , is a Parabola . In fig . 3 , the line of section , DE , is not parallel to any side of the ...
Common terms and phrases
ABCD abscissa adjacent angles altitude angle ABD annular vault axes axis major base bisect called centre chord circle circumference cone conic section conjugate contains COROLLARY 1.-Hence cutting cylinder describe a semi-circle describe an arc diameter distance divide draw a curve draw lines draw the lines edge ellipse Engraved equal angles equal to DF equation equiangular figure GEOMETRY given straight line greater groin homologous sides hyperbola intersection join joist latus rectum less Let ABC line of section meet multiplying Nicholson opposite sides ordinate parallel to BC parallelogram perpendicular PLATE points of section polygon PROBLEM produced proportionals quantity radius rectangle regular polygon ribs right angles roof segment similar triangles square straight edge subtracted surface Symns tangent THEOREM timber transverse axis triangle ABC vault vertex wherefore
Popular passages
Page 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 20 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page 51 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 15 - AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal.
Page 15 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 28 - ... angles of another, the third angles will also be equal, and the two triangles will be mutually equiangular. Cor.
Page 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 80 - The sine of an arc is a straight line drawn from one extremity of the arc perpendicular to the radius passing through the other extremity. The tangent of an arc is a straight line touching the arc at one extremity, and limited by the radius produced through the other extremity.
Page 28 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 22 - The perpendicular is the shortest line that can be drawn from a point to a straight line.