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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 18
... consequently , the triangles themselves will be equal : and , since therefore the sides of the triangles coincide , the corresponding angles will be equal . THEOREM 7 . 55. Any two sides of a triangle 18 THE NEW PRACTICAL BUILDER , & c .
... consequently , the triangles themselves will be equal : and , since therefore the sides of the triangles coincide , the corresponding angles will be equal . THEOREM 7 . 55. Any two sides of a triangle 18 THE NEW PRACTICAL BUILDER , & c .
Σελίδα 20
... consequently , EF less than BC . THEOREM 10 . A D E 58. One triangle is equal to another , when the three sides of the first are respectively equal to the three sides of the second . A D Let the side AB be equal to DE , AC equal to DF ...
... consequently , EF less than BC . THEOREM 10 . A D E 58. One triangle is equal to another , when the three sides of the first are respectively equal to the three sides of the second . A D Let the side AB be equal to DE , AC equal to DF ...
Σελίδα 25
... consequently , AC is pa- rallel to BD ( theorem 18 ) . THEOREM 20 . / G 71. If two straight lines , AC , BD , are cut by a third , FG , so as to make the exterior angle , FHC , equal to the interior and opposite angle , HGD , on the ...
... consequently , AC is pa- rallel to BD ( theorem 18 ) . THEOREM 20 . / G 71. If two straight lines , AC , BD , are cut by a third , FG , so as to make the exterior angle , FHC , equal to the interior and opposite angle , HGD , on the ...
Σελίδα 33
... consequently , as number , abstracted from figure . Thus , a letter may denote the number 3 , or a line of five equal parts of any measure ; as inches , yards , miles , & c . and so on . Letters which are thus generally employed are ...
... consequently , as number , abstracted from figure . Thus , a letter may denote the number 3 , or a line of five equal parts of any measure ; as inches , yards , miles , & c . and so on . Letters which are thus generally employed are ...
Σελίδα 42
... 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 denominator , as the numerator of the other is to its ...
... 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 denominator , as the numerator of the other is to its ...
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.