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 páginas |
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Página 29
... tangent to the circumference . For every oblique line , CE , is longer than the perpendicu- lar CA ( theorem 15 ) ... tangent ( def.9 , p . 11 ) . B ED THEOREM 31 . 88. Only one tangent can be drawn 4 . H ELEMENTS OF GEOMETRY . 29.
... tangent to the circumference . For every oblique line , CE , is longer than the perpendicu- lar CA ( theorem 15 ) ... tangent ( def.9 , p . 11 ) . B ED THEOREM 31 . 88. Only one tangent can be drawn 4 . H ELEMENTS OF GEOMETRY . 29.
Página 30
Peter Nicholson. THEOREM 31 . 88. Only one tangent can be drawn from a point , A , in the 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 ...
Peter Nicholson. THEOREM 31 . 88. Only one tangent can be drawn from a point , A , in the 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 ...
Página 33
... tangent AE to a circle , and a chord AB , drawn from the point of contact , is equal to the angle AGB in the alternate segment . Let the diameter ACF be drawn , and GF be joined ; and , because the angles FGA , FAE , are right - angles ...
... tangent AE to a circle , and a chord AB , drawn from the point of contact , is equal to the angle AGB in the alternate segment . Let the diameter ACF be drawn , and GF be joined ; and , because the angles FGA , FAE , are right - angles ...
Página 80
... tangent of the arc AB . 232. The Co - TANGENT OF AN ARC is the tangent of c the complement of that arc . Thus , CL is the co - tangent of the arc AB , or the tan- gent of the arc BC , In the annexed diagram let AB , AC , AD , AE , AF ...
... tangent of the arc AB . 232. The Co - TANGENT OF AN ARC is the tangent of c the complement of that arc . Thus , CL is the co - tangent of the arc AB , or the tan- gent of the arc BC , In the annexed diagram let AB , AC , AD , AE , AF ...
Página 81
... tangent of half the sum of the angles at the base is to the tangent of half their difference . D Let ABC be a triangle ; then , of the two sides , CA and CB , let CB be the greater . Produce CA to E , and make CE = CB , and join BE ...
... tangent of half the sum of the angles at the base is to the tangent of half their difference . D Let ABC be a triangle ; then , of the two sides , CA and CB , let CB be the greater . Produce CA to E , and make CE = CB , and join BE ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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'.
Página 51 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Página 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.
Página 15 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 28 - ... angles of another, the third angles will also be equal, and the two triangles will be mutually equiangular. Cor.
Página 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.
Página 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.
Página 28 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Página 22 - The perpendicular is the shortest line that can be drawn from a point to a straight line.