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 1848-1851Macmillan & Company, 1851 - 116 sider |
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Side v
... propositions from books . The Board , however , having had before them an analysis of the answers to the questions proposed in 1846 , 1847 , 1848 , and 1849 , find that the number of answers to the examples and deductions has fallen ...
... propositions from books . The Board , however , having had before them an analysis of the answers to the questions proposed in 1846 , 1847 , 1848 , and 1849 , find that the number of answers to the examples and deductions has fallen ...
Side vi
... propositions ; such , for instance , as investigate general rules for the various operations in different subjects . Examples of this kind are merely particular applications of the general rule which the proposition establishes , and ...
... propositions ; such , for instance , as investigate general rules for the various operations in different subjects . Examples of this kind are merely particular applications of the general rule which the proposition establishes , and ...
Side vii
... proposition . ( 2 ) . Another kind consists of those questions in which some fact or property enunciated in a theorem immediately preceding has to be applied ; e.g. PROP . " If a quantity vary directly as ( a ) when ( b ) is invari ...
... proposition . ( 2 ) . Another kind consists of those questions in which some fact or property enunciated in a theorem immediately preceding has to be applied ; e.g. PROP . " If a quantity vary directly as ( a ) when ( b ) is invari ...
Side viii
... proposition , or piece of book - work , to have been thoroughly mastered till he has dili- gently practised examples ... propositions which can be applied to Examples . SOLUTIONS OF SENATE - HOUSE ' RIDERS . ' * viii INTRODUCTION .
... proposition , or piece of book - work , to have been thoroughly mastered till he has dili- gently practised examples ... propositions which can be applied to Examples . SOLUTIONS OF SENATE - HOUSE ' RIDERS . ' * viii INTRODUCTION .
Side 3
... proposition as in Euclid 1. 39 and 40 , we obtain that D'C || AB . Hence , because triangles CEB , D'EB are on the same base and between the same parallels , ACEBAD'EB , = ADEB , by the construction of the figure . Now the triangles CEB ...
... proposition as in Euclid 1. 39 and 40 , we obtain that D'C || AB . Hence , because triangles CEB , D'EB are on the same base and between the same parallels , ACEBAD'EB , = ADEB , by the construction of the figure . Now the triangles CEB ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.