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 σελίδες |
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Σελίδα 8
... proportional to BE , and is greatest when BE is greatest , i . e . when it coincides with GF . Hence the greatest rectangle inscribed in the circle is AGCH , which is evidently a square . 1850. ( 4 ) . Cut off a segment from a given ...
... proportional to BE , and is greatest when BE is greatest , i . e . when it coincides with GF . Hence the greatest rectangle inscribed in the circle is AGCH , which is evidently a square . 1850. ( 4 ) . Cut off a segment from a given ...
Σελίδα 10
... : OB . : rect . of AO , OB = rect . of DO , OC . * From the middle point of BD draw a line at right angles to it , cutting AB produced in 0 . 1850 . ( A ) . Find a third proportional 10 SOLUTIONS OF SENATE - HOUSE ' RIDERS . '
... : OB . : rect . of AO , OB = rect . of DO , OC . * From the middle point of BD draw a line at right angles to it , cutting AB produced in 0 . 1850 . ( A ) . Find a third proportional 10 SOLUTIONS OF SENATE - HOUSE ' RIDERS . '
Σελίδα 11
Francis James Jameson. 1850 . ( A ) . Find a third proportional to two given straight lines . ( VI . 11. ) ( B ) . AB is a diameter , and P any point in the cir- cumference of a circle ; AP and BP are joined and pro- duced if necessary ...
Francis James Jameson. 1850 . ( A ) . Find a third proportional to two given straight lines . ( VI . 11. ) ( B ) . AB is a diameter , and P any point in the cir- cumference of a circle ; AP and BP are joined and pro- duced if necessary ...
Σελίδα 37
... proportional to the opposite sides . ( B ) . Hence deduce the expression for the cosine of an angle in terms of the sides . From ( 4 ) therefore sin A sin B sin C a b = r , suppose ; C sinA = ar , sinB = br , sin C = cr , and cos4 ...
... proportional to the opposite sides . ( B ) . Hence deduce the expression for the cosine of an angle in terms of the sides . From ( 4 ) therefore sin A sin B sin C a b = r , suppose ; C sinA = ar , sinB = br , sin C = cr , and cos4 ...
Σελίδα 40
... proportional parts gives ( if consecutive angles in the tables differ by 1 ' ) therefore Hence S L tan ( 15 ° .53 ' 8 " ) Z tan 15 ° .53 ' 610 60 L tan 15 ° .54 ' L tan 15 ° .53 ' 1588 ; 563 97 8 = 20.158819 " .5 . A B 2 15 ° .53'.19 ...
... proportional parts gives ( if consecutive angles in the tables differ by 1 ' ) therefore Hence S L tan ( 15 ° .53 ' 8 " ) Z tan 15 ° .53 ' 610 60 L tan 15 ° .54 ' L tan 15 ° .53 ' 1588 ; 563 97 8 = 20.158819 " .5 . A B 2 15 ° .53'.19 ...
Άλλες εκδόσεις - Προβολή όλων
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.