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 11
... and makes the angles on each side equal to each other , each of the equal angles is called a RIGHT ANGLE , and the line which stands upon the other is called a perpendicular to that other line . Thus , in fig . 6 , ( pl . I , ) if the ...
... and makes the angles on each side equal to each other , each of the equal angles is called a RIGHT ANGLE , and the line which stands upon the other is called a perpendicular to that other line . Thus , in fig . 6 , ( pl . I , ) if the ...
Σελίδα 12
... and the less an acute angle . And , as the space around the point C is the same , whatever be the position of the line CD , with respect to AB , what the one angle has in excess above the right angle , the other will have as much in ...
... and the less an acute angle . And , as the space around the point C is the same , whatever be the position of the line CD , with respect to AB , what the one angle has in excess above the right angle , the other will have as much in ...
Σελίδα 14
... angle , perpendicular to the opposite side , or to the opposite side produced or continued . Thus , CD , fig . 33 , is the altitude of the triangle ABC , drawn from the vertical angle C to the opposite side AB produced to D. 44 ...
... angle , perpendicular to the opposite side , or to the opposite side produced or continued . Thus , CD , fig . 33 , is the altitude of the triangle ABC , drawn from the vertical angle C to the opposite side AB produced to D. 44 ...
Σελίδα 16
... and at any distance from that centre , or with any radius . THEOREMS . THEOREM 1 . 48. Any straight line , CD ... angle ACD is the sum of the angles ACE and ECD ; therefore ACD + DCB shall be the sum of the three angles ACE , ECD ...
... and at any distance from that centre , or with any radius . THEOREMS . THEOREM 1 . 48. Any straight line , CD ... angle ACD is the sum of the angles ACE and ECD ; therefore ACD + DCB shall be the sum of the three angles ACE , ECD ...
Σελίδα 18
... angle and the two sides which contain it are equal , in the other , to an angle and the two sides which contain it . Let the angle A be equal to the angle D , the side AB equal to DE , and the side AC equal to DF ; then the triangles ABC ...
... angle and the two sides which contain it are equal , in the other , to an angle and the two sides which contain it . Let the angle A be equal to the angle D , the side AB equal to DE , and the side AC equal to DF ; then the triangles ABC ...
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.