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 |
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Page 105
... groin , ) without a complete understanding of both , the reader is required not to pass them until the operations are perfectly familiar to his mind . For the more effectually rivetting the principles upon the mind of the student , it ...
... groin , ) without a complete understanding of both , the reader is required not to pass them until the operations are perfectly familiar to his mind . For the more effectually rivetting the principles upon the mind of the student , it ...
Page 110
... groin required . Groins constructed of wood , in place of brick or stone , and lathed under the ribs , and the lath covered with plaster , are called plaster - groins . PLASTER - GROINS are always constructed with diagonal ribs ...
... groin required . Groins constructed of wood , in place of brick or stone , and lathed under the ribs , and the lath covered with plaster , are called plaster - groins . PLASTER - GROINS are always constructed with diagonal ribs ...
Page 111
... groin , or line of intersection , of the two surfaces . * The difference between the plan of any body and the seat of a point or line is distinguished thus : The plan is a figure upon which a solid is carried up , so that all sections ...
... groin , or line of intersection , of the two surfaces . * The difference between the plan of any body and the seat of a point or line is distinguished thus : The plan is a figure upon which a solid is carried up , so that all sections ...
Page 112
... groin of a cylindro - cylindric arch . Let A , A , A , A , be the plans of four piers , which form the openings of dif- ferent widths . On the lesser opening PM , as a diameter , describe a semi- circle . Divide the quadrant next to P ...
... groin of a cylindro - cylindric arch . Let A , A , A , A , be the plans of four piers , which form the openings of dif- ferent widths . On the lesser opening PM , as a diameter , describe a semi- circle . Divide the quadrant next to P ...
Page 113
... groin . The covering to coincide with the groin is shown at No. 1. Draw pm , No. 1 , and make pb , bc , cd , & c . , each equal to P1 ; 1,2 ; 2 , 3 , & c . , in the semi- circular arc . In No. 1 , draw pq , bg , ch , & c ...
... groin . The covering to coincide with the groin is shown at No. 1. Draw pm , No. 1 , and make pb , bc , cd , & c . , each equal to P1 ; 1,2 ; 2 , 3 , & c . , in the semi- circular arc . In No. 1 , draw pq , bg , ch , & c ...
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.