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 10
... remaining parts of this treatise , wherein it will be found that the application of this branch of science is absolutely necessary . The uses of Geometry are not confined to Carpentry and Architecture : Astronomy , Navigation ...
... remaining parts of this treatise , wherein it will be found that the application of this branch of science is absolutely necessary . The uses of Geometry are not confined to Carpentry and Architecture : Astronomy , Navigation ...
Σελίδα 58
... remaining triangles of the two polygons are similar ; therefore the polygons are composed of the same number of similar triangles , similarly situated . THEOREM 66 . 164. The perimeters of similar polygons are to one another as their ...
... remaining triangles of the two polygons are similar ; therefore the polygons are composed of the same number of similar triangles , similarly situated . THEOREM 66 . 164. The perimeters of similar polygons are to one another as their ...
Σελίδα 65
... remaining part of the arc , which will be found to contain the remaining sides of the number required . Figure 7 is an example of a pentagon . Figure 8 is an example of a hex- agon : but , in this figure , we need not proceed by the ...
... remaining part of the arc , which will be found to contain the remaining sides of the number required . Figure 7 is an example of a pentagon . Figure 8 is an example of a hex- agon : but , in this figure , we need not proceed by the ...
Σελίδα 90
... to that which terminates in the point of contact , as that which passes through the centre is to the remaining one at the other ex- tremity of the transverse . AL : PM :: CŊ : αO Let AL = 90 THE NEW PRACTICAL BUILDER , & c .
... to that which terminates in the point of contact , as that which passes through the centre is to the remaining one at the other ex- tremity of the transverse . AL : PM :: CŊ : αO Let AL = 90 THE NEW PRACTICAL BUILDER , & c .
Σελίδα 91
... a2 - x = x ; or , by transposition , a2 - 2x2 . Multiply this and the three remaining equations and pn = ab . ELLIPSE . THEOREM 11 . 286. The sum of the 285. COROLLARY . - Hence a2x2 + x2 , and b ' = y2 + y2 . CONIC SECTIONS . 91.
... a2 - x = x ; or , by transposition , a2 - 2x2 . Multiply this and the three remaining equations and pn = ab . ELLIPSE . THEOREM 11 . 286. The sum of the 285. COROLLARY . - Hence a2x2 + x2 , and b ' = y2 + y2 . CONIC SECTIONS . 91.
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.