The Principles of the Solution of the Senate-house 'riders,' Exemplified by the Solution of Those Proposed in the Earlier Parts of the Examinations of the Years 1848-1851 |
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Page 44
... direction of the stream at an angle of about 45 ° , its foremost end pointing up the stream . The current will produce upon the boat a pressure consisting of two parts , one perpendicular to the side of the boat , the other in the direction ...
... direction of the stream at an angle of about 45 ° , its foremost end pointing up the stream . The current will produce upon the boat a pressure consisting of two parts , one perpendicular to the side of the boat , the other in the direction ...
Page 46
... directions are parallel , and one force is equal to the sum or difference of the other two ; or their directions meet in ... direction CA : find the force which must be applied at D in order to produce equi- librium . Let F be the given ...
... directions are parallel , and one force is equal to the sum or difference of the other two ; or their directions meet in ... direction CA : find the force which must be applied at D in order to produce equi- librium . Let F be the given ...
Page 47
... directions pass through A ; the force ( P ) therefore which , acting at D , is to preserve the equilibrium , must , by ( 4 ) , also pass through A. The proposition further tells us that the magnitude of each of the forces P , F , R , is ...
... directions pass through A ; the force ( P ) therefore which , acting at D , is to preserve the equilibrium , must , by ( 4 ) , also pass through A. The proposition further tells us that the magnitude of each of the forces P , F , R , is ...
Page 48
... direction a series of forces tending to turn a body round an axis through O perpendicular to the plane of the polygon . The tendency of the force represented by AB to turn the body round O will be , from above , proportional to its ...
... direction a series of forces tending to turn a body round an axis through O perpendicular to the plane of the polygon . The tendency of the force represented by AB to turn the body round O will be , from above , proportional to its ...
Page 49
... direction of the resultant being in all cases perpendicular to the plane , in order that the body may not slide . In ( B ) , since the plane is sufficiently rough to prevent sliding , the last condition is not necessary ; the only ...
... direction of the resultant being in all cases perpendicular to the plane , in order that the body may not slide . In ( B ) , since the plane is sufficiently rough to prevent sliding , the last condition is not necessary ; the only ...
Other editions - View all
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2015 |
Common terms and phrases
AC² AN.NM Arithmetic arithmetical progression axis bisects body C₁ Cambridge centre of gravity chord CHURCHILL BABINGTON circle cloth cone Conic Sections conjugate hyperbola constant curvature curve cycloid describe diameter direction directrix distance drawn Edition ellipse equations equilibrium Fellow of St fluid focus geometrical given point Hence horizontal hyperbola inches inclined inscribed John's College joining latus-rectum least common multiple Lemma length locus meet mirror move number of seconds oscillation parabola parallel parallelogram particle perpendicular plane polygon pressure prop proportional proposition prove pullies quadrilateral quantity radius ratio rays rectangle refraction right angles sewed shew sides specific gravity spherical square straight line string surface tan² tangent triangle ABC Trinity College tube V₁ vary vertex vertical W₁ weight
Popular passages
Page 4 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Page 6 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 11 - AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of the circle in a point F, shew that CD is a third proportional of CE and CF.
Page 9 - IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Page 4 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.