A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
From inside the book
Results 1-5 of 44
Page 5
... vertex coincident with the surface of the fluid and its base horizontal ; to determine how it must be divided by a line parallel to the base , that the pressures upon the upper and lower portions may be respectively in the ratio of m ...
... vertex coincident with the surface of the fluid and its base horizontal ; to determine how it must be divided by a line parallel to the base , that the pressures upon the upper and lower portions may be respectively in the ratio of m ...
Page 8
... vertex just touching the surface of the fluid . The polar equation to the curve is 22 = a2 cos 20 , the axis of the loop being the prime radius vector , and the vertex being the pole . Hence , the depth of an elementary polar area rde ...
... vertex just touching the surface of the fluid . The polar equation to the curve is 22 = a2 cos 20 , the axis of the loop being the prime radius vector , and the vertex being the pole . Hence , the depth of an elementary polar area rde ...
Page 11
... vertex just coincides ; the axis of the pyramid is vertical : to find the pressure on the surface of the pyramid , exclusively of the base , the length of each of the n sides of its polygonal base being a , and the height of each of its ...
... vertex just coincides ; the axis of the pyramid is vertical : to find the pressure on the surface of the pyramid , exclusively of the base , the length of each of the n sides of its polygonal base being a , and the height of each of its ...
Page 12
... vertex downwards , and its diameter coincident with the surface ; to divide the area into n portions by horizontal ordinates , such that the pressures upon all the portions may be equal . If a be the radius of the circle , and y , the ...
... vertex downwards , and its diameter coincident with the surface ; to divide the area into n portions by horizontal ordinates , such that the pressures upon all the portions may be equal . If a be the radius of the circle , and y , the ...
Page 13
... vertex just at the surface . If r be the radius of the base , h the length of the axis , and 7 the distance of each point in the periphery of the base from the vertex , the required pressure will be equal to ¦ægphr ( 21 + 3r ) .、 27. A ...
... vertex just at the surface . If r be the radius of the base , h the length of the axis , and 7 the distance of each point in the periphery of the base from the vertex , the required pressure will be equal to ¦ægphr ( 21 + 3r ) .、 27. A ...
Other editions - View all
Common terms and phrases
ABCD Albert Girard altitude angular velocity aperture axis axis of revolution axis vertical base Bernoulli Bossut Traité Cambridge centre of gravity centre of pressure cone constant quantity cos² Daniel Bernoulli denote the density denote the length denote the radius depth determine distance dx dy Edition elastic equal equation filled with fluid floating fluid displaced free surface given hemisphere Hence humidum inclination incompressible fluid integrating James Bernoulli John Bernoulli lamina latus rectum mass motion oscillation parabola paraboloid of revolution parallel particles Phoronomia portion position of equilibrium position of rest problem ratio represent right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed Traité d'Hydrodynamique Treatise triangle tube vertex volume w³y² weight whole pressure
Popular passages
Page 1 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 24 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 17 - Observations on the attempted Application of Pantheistic Principles to the Theory and Historic Criticism of the Gospels. By WH Mill, DD Second edition, .with the Author's latest notes and additions. Edited by his Son-in-law, the Rev. B. Webb, MA 8vo. 14*.
Page 16 - Annotations on the Acts of the Apostles. Original and selected. Designed principally for the use of Candidates for the Ordinary BA Degree, Students for Holy Orders, &c., with College and Senate-House Examination Papers. By the Rev. TR MASKEW, MA Second Edition, enlarged. 12mo. 5».
Page 1 - PASSAGES in PROSE and VERSE from ENGLISH AUTHORS for Translation into Greek and Latin ; together with selected Passages from Greek and Latin Authors for Translation into English : forming a regular course of Exercises in Classical Composition. By the Rev.
Page 24 - The Apology of Tertullian. With English Notes and a Preface, intended as an Introduction to the Study of Patristical and Ecclesiastical Latinity. By HA WOODHAM, LL.D. Second Edition. 8vo. 8*.
Page 4 - Pearson's Lectures on the Acts of the Apostles and Annals of St. Paul. Edited in English, with a few Notes, by JR CROWFOOT, BD, Divinity Lecturer of King's College, Cambridge.
Page 5 - Classical Scholarship and Classical Learning considered with especial reference to Competitive Tests and University Teaching. A Practical Essay on Liberal Education. By the Rev. JW DONALDSON, DD Crown 8vo. 5».
Page 15 - Xenophontis Anabasis, with Introduction ; Geographical and other Notes, Itinerary, and Three Maps compiled from recent surveys. By JF Macmichael, BA New Edition, os. Xenophontis Cyropaedia. By GM Gorham, MA, late Fellow of Trinity College, Cambridge.
Page 9 - Problems and Examples, adapted to the " Elementary Course of Mathematics." With an Appendix, containing the Questions proposed during the first three days of the Senate House • Examination.