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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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 18
... placed upon the tri- B D angle DEF , so that AB may be upon DE ; then , because the angles A and D are equal , AC will fall upon DF ; and , because AB is equal to DE , and AC equal to DF , the point B will coincide with E , and C with F ...
... placed upon the tri- B D angle DEF , so that AB may be upon DE ; then , because the angles A and D are equal , AC will fall upon DF ; and , because AB is equal to DE , and AC equal to DF , the point B will coincide with E , and C with F ...
Σελίδα 30
... placed on each other ; and , as their sides are equal , the point A will fall on D , and the point B on E ; but then the arc AB must also fall on DE ; for , if the two arcs did not coincide , there would be , in one or the other ...
... placed on each other ; and , as their sides are equal , the point A will fall on D , and the point B on E ; but then the arc AB must also fall on DE ; for , if the two arcs did not coincide , there would be , in one or the other ...
Σελίδα 34
... placed between two quantities , denotes that the quan- tity which follows it is to be subtracted from that which precedes it . Thus , m - n denotes that the quantity represented by n is to be subtracted from that represented by m ...
... placed between two quantities , denotes that the quan- tity which follows it is to be subtracted from that which precedes it . Thus , m - n denotes that the quantity represented by n is to be subtracted from that represented by m ...
Σελίδα 41
... placed in a row , so that the two factors on either side may occupy the middle place of the four , and the other two each one of the extreme places ; the four factors , thus taken in order , will be pro- portionals . = Let ad bc : Now ...
... placed in a row , so that the two factors on either side may occupy the middle place of the four , and the other two each one of the extreme places ; the four factors , thus taken in order , will be pro- portionals . = Let ad bc : Now ...
Σελίδα 42
... placed between the first two and between the last two ; and the sign :: is placed between the two terms that stand in the middle ; thus , ab :: c : d , is read , as a is to b , so is e to d , 116. Four proportionals are termed a ...
... placed between the first two and between the last two ; and the sign :: is placed between the two terms that stand in the middle ; thus , ab :: c : d , is read , as a is to b , so is e to d , 116. Four proportionals are termed a ...
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.