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 34
... Equations . TERMS are all those parts of an expression that are separated by the signs of Addition and Subtraction . Thus , a + b + c - d , is a quantity consisting of four terms . Quantities which contain two terms are called binomials ...
... Equations . TERMS are all those parts of an expression that are separated by the signs of Addition and Subtraction . Thus , a + b + c - d , is a quantity consisting of four terms . Quantities which contain two terms are called binomials ...
Página 40
... equation is the mode of finding the value of the unknown quantity , in terms of those which are given . The ... equation the same quantity be added , the sums will be an equation still . 2. If from each side of an equation the same ...
... equation is the mode of finding the value of the unknown quantity , in terms of those which are given . The ... equation the same quantity be added , the sums will be an equation still . 2. If from each side of an equation the same ...
Página 41
... equation . pro- 4. If each side of an equation be divided by the same quantity , the quotients will still be an equation . OF PROPORTION . 112. DEFINITION . - Four quantities are proportionals when the first con- tains some part of the ...
... equation . pro- 4. If each side of an equation be divided by the same quantity , the quotients will still be an equation . OF PROPORTION . 112. DEFINITION . - Four quantities are proportionals when the first con- tains some part of the ...
Página 42
... equation , C mi m ni d = ni ; therefore == ; and , consequently , m : wherefore , also , e con- tains the nth part of d , m times . c 115. COROLLARY . - Hence , if two fractions are equal , the numerator of the one will be to its ...
... equation , C mi m ni d = ni ; therefore == ; and , consequently , m : wherefore , also , e con- tains the nth part of d , m times . c 115. COROLLARY . - Hence , if two fractions are equal , the numerator of the one will be to its ...
Página 44
... equations all different , by adding each combination to each side of the equation ad = bc , viz . No. 1 .... a ( c + d ) = c ( a + b ) 2 .... a ( b + d ) b ( a + c ) 3 .... d ( a + b ) = b ( c + d ) 4 .... d ( a + c ) = c ( b + d ) ...
... equations all different , by adding each combination to each side of the equation ad = bc , viz . No. 1 .... a ( c + d ) = c ( a + b ) 2 .... a ( b + d ) b ( a + c ) 3 .... d ( a + b ) = b ( c + d ) 4 .... d ( a + c ) = c ( b + d ) ...
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.