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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Σελίδα 13
... circumference . From the circumference , straight lines , called radii , being drawn to a certain point within the figure , are equal . 35. The point to which the equal lines from the circumference are drawn , is called the CENTRE of ...
... circumference . From the circumference , straight lines , called radii , being drawn to a certain point within the figure , are equal . 35. The point to which the equal lines from the circumference are drawn , is called the CENTRE of ...
Σελίδα 14
... circumference . Thus , in fig . 27 , the diameter a b divides the circle into two semi - circles . 39. A SEGMENT of a circle is a portion cut off by a chord , and the part of the circumference intercepted by the chord . Thus , ab c ...
... circumference . Thus , in fig . 27 , the diameter a b divides the circle into two semi - circles . 39. A SEGMENT of a circle is a portion cut off by a chord , and the part of the circumference intercepted by the chord . Thus , ab c ...
Σελίδα 29
... circumference . For every oblique line , CE , is longer than the perpendicu- lar CA ( theorem 15 ) ; therefore the point E must be without the circle ; and since this is true of every point in the line BD , except the point A , the line ...
... circumference . For every oblique line , CE , is longer than the perpendicu- lar CA ( theorem 15 ) ; therefore the point E must be without the circle ; and since this is true of every point in the line BD , except the point A , the line ...
Σελίδα 30
... circumference of a circle . Let BD be a tangent at A , in the circumference , de- B scribed with the radius CA ; and let AG be another tan- gent , if possible ; then , as CA would not be perpendicular D to AG , another line , CF , would ...
... circumference of a circle . Let BD be a tangent at A , in the circumference , de- B scribed with the radius CA ; and let AG be another tan- gent , if possible ; then , as CA would not be perpendicular D to AG , another line , CF , would ...
Σελίδα 31
... circumference , then the angle ACE is equal to the sum of the angles CAD , CDA ( theorem 27 ) ; but , because CA is equal to CD , the angle CAD is equal to CDA ( theorem 11 ) ; therefore the angle ACE is equal to twice the angle CDA ...
... circumference , then the angle ACE is equal to the sum of the angles CAD , CDA ( theorem 27 ) ; but , because CA is equal to CD , the angle CAD is equal to CDA ( theorem 11 ) ; therefore the angle ACE is equal to twice the angle CDA ...
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.