Scholarship examinations of 1846/47 (-1853/54). |
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Page iii
... Parabola , if QV be parallel to the tangent at P and PV parallel to the axis , QV2 — 4 SP . PV . = ......... 17. Draw a tangent to the ellipse at any point ; and show that the focus of the perpendicular from the focus on the tangent ...
... Parabola , if QV be parallel to the tangent at P and PV parallel to the axis , QV2 — 4 SP . PV . = ......... 17. Draw a tangent to the ellipse at any point ; and show that the focus of the perpendicular from the focus on the tangent ...
Page xx
... parabola referred ⚫ to rectangular axes . Let now the origin be transferred to a point ( a , b ) and the the new axes making angles and ' with the old axes . are The formulas for transformation y + z ' Sin + y ' Sin ' = x = a + x'Cos 0 ...
... parabola referred ⚫ to rectangular axes . Let now the origin be transferred to a point ( a , b ) and the the new axes making angles and ' with the old axes . are The formulas for transformation y + z ' Sin + y ' Sin ' = x = a + x'Cos 0 ...
Page xxv
... parabola . The principal parameter is evidently 19 . A ' S N H B ' SP to the axis or ASP ASP ' = 180 ° + A ' SP ' - A = 4 m . Cist he centre of the ellipse , S and H the two foci , P any point in the curve , join P and S , and produce ...
... parabola . The principal parameter is evidently 19 . A ' S N H B ' SP to the axis or ASP ASP ' = 180 ° + A ' SP ' - A = 4 m . Cist he centre of the ellipse , S and H the two foci , P any point in the curve , join P and S , and produce ...
Page xxx
... parabola referred to oblique axes AL , and AV , AL being a tangent at A , and AV any diameter . 9. The pressure of the atmosphere is acurately measured by the height of the column of mercury in the barometer ; but the height of the ...
... parabola referred to oblique axes AL , and AV , AL being a tangent at A , and AV any diameter . 9. The pressure of the atmosphere is acurately measured by the height of the column of mercury in the barometer ; but the height of the ...
Page 9
... parabola at a given point in the curve . 10. Find the intersection of two given straight lines in space . What relation must subsist amongst the constants of the equations to the straight lines that they may meet one another ? 11 ...
... parabola at a given point in the curve . 10. Find the intersection of two given straight lines in space . What relation must subsist amongst the constants of the equations to the straight lines that they may meet one another ? 11 ...
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