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 ArchitectureThomas Kelly, 1823 - 596 σελίδες |
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Αποτελέσματα 1 - 5 από τα 22.
Σελίδα 70
... Draw Aƒ , Ag , Ah , Ai , cutting DE in the points f , g , h , i . Then the line DE will be divided by these points ... curve ; with the difference of ED and EA , as a radius , from any point ƒ , in EB , describe an arc , cutting EC ...
... Draw Aƒ , Ag , Ah , Ai , cutting DE in the points f , g , h , i . Then the line DE will be divided by these points ... curve ; with the difference of ED and EA , as a radius , from any point ƒ , in EB , describe an arc , cutting EC ...
Σελίδα 71
... draw a curve , and we shall have the fourth part , or quarter , of the whole curve . In the same manner the other quarter DC may be found . And , by taking the point D , instead of B , and by describing the rectangle upon AC , so that ...
... draw a curve , and we shall have the fourth part , or quarter , of the whole curve . In the same manner the other quarter DC may be found . And , by taking the point D , instead of B , and by describing the rectangle upon AC , so that ...
Σελίδα 72
... Draw the straight line AB , and make AB equal to the length of the given ellipse . Bisect AB in E , by the ... curve of the ellipse as required . PROBLEM 33 . 210. A rectangle being given , to describe an ellipse , so that the two ...
... Draw the straight line AB , and make AB equal to the length of the given ellipse . Bisect AB in E , by the ... curve of the ellipse as required . PROBLEM 33 . 210. A rectangle being given , to describe an ellipse , so that the two ...
Σελίδα 73
... draw lines to B ; and through the points of section , 1 , 2 , 3 , & c . in AF , draw lines to D , cutting the former lines drawn to B , in the points h , i , k , & c .; and , through the points A , h , i , k , & c . , draw a curve ...
... draw lines to B ; and through the points of section , 1 , 2 , 3 , & c . in AF , draw lines to D , cutting the former lines drawn to B , in the points h , i , k , & c .; and , through the points A , h , i , k , & c . , draw a curve ...
Σελίδα 75
... draw CF , parallel to the base AB of the section , and produce ED to meet AB in D , as in figures 2 and 3 , or AB ... curve , which will be the conic section required . OBSERVATIONS . 219. In the first of these figures , the line ...
... draw CF , parallel to the base AB of the section , and produce ED to meet AB in D , as in figures 2 and 3 , or AB ... curve , which will be the conic section required . OBSERVATIONS . 219. In the first of these figures , the line ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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'.
Σελίδα 51 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Σελίδα 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.
Σελίδα 15 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 28 - ... angles of another, the third angles will also be equal, and the two triangles will be mutually equiangular. Cor.
Σελίδα 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.
Σελίδα 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.
Σελίδα 28 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 22 - The perpendicular is the shortest line that can be drawn from a point to a straight line.