sphere cube rectangular parallelepiped and cylinder
Cambridge.University.Press.The.Works.of.Archimedes.Volume.1.The.Two.Books.On.the.Sphere.and.the.Cylinder.Translation.and.Commentary.May.2004.pdf
... Translation and Commentary On the Sphere and the Cylinder, Book I On the Sphere and the Cylinder, Book II Eutocius’ Commentary to On the Sphere and the Cylinder I Eutocius’ Commentary to On the Sphere and ... first book On the Sphere and the Cylinder Eutocius’ commentary to the above The second book On the Sphere and the Cylinder Eutocius’ commentary to the above Spiral Lines Conoids and Spheroids Measurement ... in the sphere, and a height equal to the diameter of the sphere, is, itself,6 half as large again as the sphere; and its surface is as the surface of the sphere. 7 In...
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Eutocius’ Commentary to On the Sphere and the Cylinder I
... AB, (d) and let EA be bisected by Z, (e) and let AH be drawn at right to A ; (f) and let ZH be joined; (g) and let Z be set equal to AH, (h) and again let H be bisected at K, (i) and let ... to ZH, (j) and let K be joined; (k) and again KM equal to H , (l) and let M be bisected by N, (m) and again let be drawn at right to K , (n) and let N be joined (1) ... exposition and tries to clarify at the start of the work those expressions, which he himself used in his own fashion, and the terms of the hypotheses and the hypotheses themselves; and he says...
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Eutocius’ Commentary to On the Sphere and the Cylinder II
... , (9) and through this the circle, too, shall be twice the circle (10) and the cylinder the cylinder. 11 (11) But the cylinder having, base, the circle ZH, and, height, ... diameters.8 (f) And if a cylinder is imagined, again, having, base, the circle O, and a height equal to K, (5) it shall be half as large again as the cylinder whose base is the circle ZH, and ... (5) for the cylinder having, base, the circle A, and, height, the line A , is three times the cone A ,6 (6) and twice the cylinder AE; (7) so that it is clear that the cylinder AE,...
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On the Sphere and the Cylinder, Book I
... in the sphere, and a height equal to the diameter of the sphere, is, itself,6 half as large again as the sphere; and its surface is as the surface of the sphere. 7 In ... prism having the same base as the pyramid and an equal height,8 and that every cone is a third part of the cylinder having the base the same as the cylinder and an equal height.9 For even though ... It is not as if there is a cylinder and two quantitative functions: “volume” and “surface.” Instead, there are two geometrical objects discussed directly: a cylinder, and its surface SC I.34 Elements...
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On the Sphere and the Cylinder, Book II
... to smaller), and let some sphere be given and let it be cut by a plane through the center, and let there be a section the circle AB , and let B be ... or to the cylinder 187 188 Eut 270 on t h e s ph e r e a n d t h e c y l i n d e r i i Let a cone or a cylinder be given, A, (a) and let the sphere B be equal to A,8 (b) and let a cylinder be ... be the given cone or cylinder, A; so it is required to find a sphere equal to the cone or cylinder A (a) Let there be a cylinder half as large again as the cone or cylinder , and its axis is A,19...
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Cambridge.University.Press.Press.Politics.and.the.Public.Sphere.in.Europe.and.North.America.1760-1820.Jul.2002.pdf
... names – the standard measure Introduction of basic literacy used by historians – and more still had simple reading ability England and Scotland, north-eastern France, Germany and Scandinavia could ... of contact between producers and their potential clients and made possible Hannah Barker and Simon Burrows the evolution and practice of mass marketing, branding and promoting new products. ... Politics and the Public Sphere in Europe and North America, – Newspapers are a vital component of print and political cultures, and as such they informed as well as documented the social and...
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Cambridge.University.Press.The.Crisis.of.Literature.in.the.1790s.Print.Culture.and.the.Public.Sphere.Nov.1999.pdf
... Pete, Guy, TerryBall, James, Andy, Mick, Opera-John, Mark and Sabine, and Tim and Melinda Tarik, Ben and Guy provided an unfailing supply of beds, couches, floors and backgammon within easy range ... the social and political constraints, and above all, the intense mutualities and struggles in social space that guide and block the passage of signs among historical writers, readers and audiences.5 ... poetry in England, and you will find it accompanied with literature [England’s poets] by their literature enriched their poetry; and what they borrowed from the public stock of art and science,...
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An experimental investigation of heat transfer and fluid flow in a rectangular duct with inclined discrete ribs
... observation of PIV system Gao and Sunden [11] have used PIV system to measure the flow field in a rectangular duct with 60º inclined and V-shaped rib arrangements in three planes and reported that the ... [5] Kiml R Mochizuki S and Murata A “Effects of rib arrangements on heat transfer and flow behavior in a rectangular rib roughened passage” International Journal of Heat and mass transfer; 123: ... B.V., Schabacker, J., and Boles, A., “Experimental and numerical study of developed flow and heat transfer in coolants with channels with 45 degree ribs”, Int Journal of Heat and fluid flow, 20,...
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PERSONAL AUTONOMY, THE PRIVATE SPHERE AND THE CRIMINAL LAW pdf
... and Procedural Traditions: Towards a Comparative Interpretation of Covert and Proactive Policing in England and Wales and The Netherlands” in David Nelken (ed.), op.cit n 4 Peter Alldridge and ... society, and of the contradictory demands and fears to which it gives rise On the one hand, people welcome both the expanding, international order and the dissipation of old moral certainties, demanding ... Autonomy, the Private Sphere and the Criminal Law A Comparative Study edited by PETER ALLDRIDGE and CHRISJE BRANTS OXFORD – PORTLAND OREGON 2001 Hart Publishing Oxford and Portland, Oregon Published...
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Báo cáo khoa học: "Cube Summing, Approximate Inference with Non-Local Features, and Dynamic Programming without Semirings" doc
... We can understand cube decoding through an algebraic structure with two operations ⊕ and ⊗, where ⊗ need not be associative and need not distribute over ⊕, and furthermore where ⊕ and ⊗ are Distributivity ... Old and New We now consider interesting special cases and variations of cube summing 6.1 or gn l ua sid e er The k-best+residual Semiring When restricted to local features, cube pruning and cube ... N ordinary operands and N function operands, we first compute the full O(k N ) cross-product of the ordinary operands, then apply each of the N functions from the remaining operands in turn upon...
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university alabama press household chores and household choices theorizing the domestic sphere in historical archaeology jun 2004
... sites 41SR39 and 41SR43 and those researched by George (1975) and Fleming and Pertulla (1999) leads to interesting parallels and differences All of the buildings were similar in size and shape to ... placed near the Rio Grande, just far enough away to avoid ®ooding, and the rest of the land was used to herd sheep, goats, and cattle No fences were used, and cattle (whose brands designated ownership) ... concept of household as / Jamie C Brandon and Kerri S Barile architecture and began to address questions beyond the physical fabric and layout of the home and house lot Simultaneously, these...
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Báo cáo sinh học: "Radio wave propagation in curved rectangular tunnels at 5.8 GHz for metro applications, simulations and measurements" pot
... concordance between the simulations and the measurements is observed A mean and a standard deviation of the error between measurements and simulations of 2.15 and 2.55 dB are, respectively, obtained ... Intersection between the transmitted rays and the environment Two kinds of tunnel geometry have to be taken into account: The planes for the ceil and/ or the roof, and the cylinder for the walls These components ... controlcommand and train operation and exploitation Driverless underground systems are one of the best examples of the use of such wireless radio system deployments based on WLAN, standards generally...
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báo cáo hóa học: " An instrumented cylinder measuring pinch force and orientation" docx
... and hand while the individual is lifting the cylinder In conjunction with the instrumented cylinder, a software program was developed (LabView v6.1, National Instruments, TX, USA) to record and ... instrumented cylinder and experimental Functioning of the instrumented cylinder and experimental set-up used for its calibration The apparatus is designed to measure the orientation (θ) and vertical ... angles and at lower heights (Figures 3B, 4B and Table 2) of the half -cylinder, resulting in an asymmetrical bowl-shaped distribution The mean AE and mean variance of the heights were 0.43 mm and...
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báo cáo hóa học:" Radio wave propagation in curved rectangular tunnels at 5.8 GHz for metro applications, simulations and " potx
... concordance between the simulations and the measurements is observed A mean and a standard deviation of the error between measurements and simulations of 2.15 and 2.55 dB are, respectively, obtained ... Intersection between the transmitted rays and the environment Two kinds of tunnel geometry have to be taken into account: The planes for the ceil and/ or the roof, and the cylinder for the walls These components ... controlcommand and train operation and exploitation Driverless underground systems are one of the best examples of the use of such wireless radio system deployments based on WLAN, standards generally...
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Báo cáo toán học: " Radio wave propagation in curved rectangular tunnels at 5.8 GHz for metro applications, simulations and measurements" docx
... Comparison of measurement and simulation results in curved rectangular tunnel A quite good concordance between the simulations and the measurements is observed A mean and a standard deviation of the ... Intersection between the transmitted rays and the environment Two kinds of tunnel geometry have to be taken into account: The planes for the ceil and/ or the roof, and the cylinder for the walls These components ... analysis in terms of slow and fast fadings in order to margin gains for radio deployment for a system point of view to reach targeted BER and to tune the network and the handover process Statistical...
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Báo cáo hóa học: " Research Article Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in Unbounded Cylinder Domains" pdf
... exponent and f ∈ H −1 satisfying suitable conditions, then 1.10 admits two solutions For the case when Ω is an unbounded domain, Cao and Zhou 10 , Cˆrstea and R˘ dulescu 11 , and Ghergu and R˘ ... p−1 > and a a x |u|p fw 3.4 Apply Lemmas 3.1, 3.2, 3.3, and Ekeland variational principle , and we can establish the existence of the first positive solution Proposition 3.4 Assume a1 , f1 and ... solutions u0 and u1 in H RN Furthermore, u0 and u1 satisfy < u0 < u1 , and u0 is a local minimizer of I where I is the energy functional of problem 1.2 Theorem 1.4 Assume a1 , f1 , f2 , f3 hold and...
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Báo cáo toán học: "The cube polynomial and its derivatives: the case of median graphs" pps
... Thus, θ0 (G) = and θ1 (G) = k Recall that a graph is a median graph if and only if it can be obtained from hypercubes by a sequence of convex amalgamations, a result due to Bandelt and van de Vel ... Amer Math Soc 12 (1961) 407–414 [2] H.J Bandelt, Retracts of hypercubes, J Graph Theory (1984) 501–510 [3] H.-J Bandelt and M van de Vel, Superextensions and the depth of median graphs, J Combin ... (Chapman and Hall, New York, 1993) [7] W Imrich and S Klavˇar, Product Graphs: Structure and Recognition (John z Wiley & Sons, New York, 2000) [8] W Imrich, S Klavˇar, and H M Mulder, Median graphs and...
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Báo cáo toán học: "Dihedral F-Tilings of the Sphere by Equilateral and Scalene Triangles - II" pptx
... ıcia the Sphere by Equilateral and Scalene Triangles-I, submitted for publication [5] A M d’Azevedo Breda and Altino F Santos, Dihedral F-Tilings of the Sphere by Spherical Triangles and Equiangular ... x ≤ π Let us assume that α + x = π and x = γ In this case, α + β > π and so expanding the configuration illustrated in Figure 2, we obtain the following one, and consequently δ + β ≤ π Let us assume ... F-Tilings of the Sphere by Equilateral and Scalene Triangles with adjacency of type II References [1] Catarina P Avelino and Altino F Santos, Spherical F-Tilings by Triangles and r-Sided Regular...
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Báo cáo toán học: "Dihedral f-Tilings of the Sphere by Equilateral and Scalene Triangles - III" potx
... 115.38◦ and α ≈ 83.07◦ and the configuration extends to a tiling τ ∈ Ω(T1 , T2 ) It is composed of two equilateral and eighteen scalene triangles and will be denoted by G , Figure 13 Figure 13: 2D and ... by two equilateral and six scalene triangles and is denoted by Eα Figure 4: 2D and 3D representation of Eα By the adjacency condition (1.1), the condition α + γ = π = β + δ and the order π relation ... < π and consequently δ < π π π Additionally, γ < , otherwise β > γ ≥ , α ≤ and the adjacency condition (1.1) 2 π is not fulfilled Accordingly, δ < γ < and vertices of valency four occur if and...
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