Weekly problem papers, with notes. [With] Solutions1885 |
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Side 38
... Since AB , AD are any straight lines through E and H , an infinite number of quadrilaterals can be described having their sides bisected at the points E , F , G , H. Again , considering any one of the quadrilaterals ABCD the 38 SOLUTIONS ...
... Since AB , AD are any straight lines through E and H , an infinite number of quadrilaterals can be described having their sides bisected at the points E , F , G , H. Again , considering any one of the quadrilaterals ABCD the 38 SOLUTIONS ...
Side 43
... described . X 1. For a write tan A , & c . PAPER XXII . ..tan Atan B + tan C = tan A tan B tan C ; .. A + B + C = n . 180 ° ; .. 2A + 2B + 20 : = 2n . 180 ° ; ..tan 24+ tan 2B + tan 20 = tan 24. tan 2B . tan 20 ; 2 tan A 2x and tan 24 ...
... described . X 1. For a write tan A , & c . PAPER XXII . ..tan Atan B + tan C = tan A tan B tan C ; .. A + B + C = n . 180 ° ; .. 2A + 2B + 20 : = 2n . 180 ° ; ..tan 24+ tan 2B + tan 20 = tan 24. tan 2B . tan 20 ; 2 tan A 2x and tan 24 ...
Side 64
... described about a parabola , its orthocentre will lie on the directrix . Therefore , if a parabola be described touching the four straight lines , the orthocentres of the four triangles formed by them will lie on the directrix . 7. Let ...
... described about a parabola , its orthocentre will lie on the directrix . Therefore , if a parabola be described touching the four straight lines , the orthocentres of the four triangles formed by them will lie on the directrix . 7. Let ...
Side 66
... described whose vertex bisects SA ' . 7. Let D be the point of suspension , ACEB the rod , E the position of the ring , and C the point where the vertical through D cuts the rod . Then C is the middle point of the rod , and DE is at ...
... described whose vertex bisects SA ' . 7. Let D be the point of suspension , ACEB the rod , E the position of the ring , and C the point where the vertical through D cuts the rod . Then C is the middle point of the rod , and DE is at ...
Side 92
... described with centre F and radius FD , cuts the given circle ortho- gonally , and also cuts orthogonally the circle described with centre E. 6. Let CD be the diameter conjugate to CP , and let the circle on MN as diameter cut the ...
... described with centre F and radius FD , cuts the given circle ortho- gonally , and also cuts orthogonally the circle described with centre E. 6. Let CD be the diameter conjugate to CP , and let the circle on MN as diameter cut the ...
Vanlige uttrykk og setninger
a+b+c ABCD axis bisects the angle Cambridge centre chord circle round circle will go circum-circle Clifton College coef College conic const coordinates cos² cosec Crown 8vo denote diameter directrix draw Edition ellipse envelope equal equation Fcap fixed point geometrical given expression hyperbola inscribed circle intersect Join Let ABC Let the tangent locus Mathematics meet middle point Monday afternoon morning nine-point circle nth term orthocentre PAPER parabola parallel perpendicular plane Professor quadrilateral radical axis radius right angles shew shewn sides Similarly sin² sin³ straight line tan² tangent Todh triangle Trinity College Tripos velocity vertex vertical
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