Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 3
... axis in Q , and that diameter of the circle , which passes through Q , meet the tangent in P , then PQ = BC . Let the tangent YZ cut the major axis in T. B 2 9-12 . ] 3 AND RIDERS . angle A, BA: BD :: AC: CD...
... axis in Q , and that diameter of the circle , which passes through Q , meet the tangent in P , then PQ = BC . Let the tangent YZ cut the major axis in T. B 2 9-12 . ] 3 AND RIDERS . angle A, BA: BD :: AC: CD...
Página 4
... axis in T. Then by similar triangles PQ SY PQ HZ = and QT YT QTZT PQ SY.HZ .. = QT TY.TZ But TY . TZ = TQ2 by Euclid , III . 36 , and SY . HZ = BƠ2 ; .. PQ = BC . 11. In an hyperbola , supposing the two asymptotes and one point of the ...
... axis in T. Then by similar triangles PQ SY PQ HZ = and QT YT QTZT PQ SY.HZ .. = QT TY.TZ But TY . TZ = TQ2 by Euclid , III . 36 , and SY . HZ = BƠ2 ; .. PQ = BC . 11. In an hyperbola , supposing the two asymptotes and one point of the ...
Página 10
... axis is vertical and concavity down- wards ; prove that the parabolic arc may be turned through any angle without disturbing its equilibrium , provided no sliding be possible between the curves . In the figure , fig . 5 , it follows ...
... axis is vertical and concavity down- wards ; prove that the parabolic arc may be turned through any angle without disturbing its equilibrium , provided no sliding be possible between the curves . In the figure , fig . 5 , it follows ...
Página 16
... axis vertical : supposing any quantities of two fluids of densities p , p ' to be poured into it , and r , r ' to be the distances of the two free surfaces respec- tively from the focus , then the distance of the common surface rp - r'p ...
... axis vertical : supposing any quantities of two fluids of densities p , p ' to be poured into it , and r , r ' to be the distances of the two free surfaces respec- tively from the focus , then the distance of the common surface rp - r'p ...
Página 17
... axis horizontal . 2 Let AB = h be the axis of the cone , A the vertex . The forces acting on the cone are , its weight Wacting downwards at G the centre of gravity of the surface , AG = h ; and W ' the weight of the water displaced ...
... axis horizontal . 2 Let AB = h be the axis of the cone , A the vertex . The forces acting on the cone are , its weight Wacting downwards at G the centre of gravity of the surface , AG = h ; and W ' the weight of the water displaced ...
Otras ediciones - Ver todas
Términos y frases comunes
acceleration angular velocity Arabic numbers asymptotes attraction axes axis bisects Cambridge centre of force centre of gravity chord circle circular cloth co-ordinates cone conic conic section constant cos² Crown 8vo curvature cylinder described diameter differential equation direction directrix distance drawn dt dt ellipse ellipsoid equal angles equiangular spiral equilibrium extremity Fcap fixed point fluid foci focus given point Hence horizontal hyperbola inclined intersection latus rectum length locus MACMILLAN & CO.'S meridian motion normal parabola parallel particle perpendicular point of contact position pressure prove ratio respectively right angles Roman numbers SENIOR MODERATOR shew sides sin² singular solution smooth sphere spherical straight line string subtend surface tangent tension triangle Trinity College uniform vertex vertical Vis Viva weight аф
Pasajes populares
Página 6 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Página 15 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Página 15 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.
Página 3 - CAMPBELL : — THE NATURE OF THE ATONEMENT AND ITS RELATION TO REMISSION OF SINS AND ETERNAL LIFE. Fourth and Cheaper Edition, crown 8vo. 6s. "Among the first theological treatises of this generation.
Página 8 - M'COY.— Contributions to British Palaeontology; or, First Descriptions of several hundred Fossil Radiata, Articulata, Mollusca, and Pisces, from the Tertiary, Cretaceous, Oolitic, and Palaeozoic Strata of Great Britain. With numerous Woodcuts. 8vo. cloth, 9s. *#* This forms a complete Series of the Author's Papers from the
Página 6 - Crown 8vo. 7s. 6d. HOWARD. — The Pentateuch ; Or, the Five Books of Moses. Translated into English from the Version of the LXX. With Notes on its Omissions and Insertions, and also on the Passages in which it differs from the Authorized Version. By the Hon. HENRY HOWARD, DD Crown 8vo. GENESIS, One Volume, 8s. 6d. ; EXODUS AND LEVITICUS, One Volume, 10s. 6d. ; NUMBERS AND DEUTERONOMY, One Volume, 10s. 6d. HOZIER. — The Seven Weeks' War ; Its Antecedents and its Incidents.
Página 13 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Página 16 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Página 4 - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St. John's College, Cambridge, and Mathematical Lecturer of Jesus College. Crown 8vo. cloth, 10s.
Página 16 - Wilson. — A MEMOIR OF GEORGE WILSON, MD, FRSE, Regius Professor of Technology in the University of Edinburgh. By his SISTER. New Edition. Crown 8vo. 6s. "An exquisite and touching portrait of a rare and beautiful spirit.