The Mathematical Questions Proposed in the Ladies' Diary: And Their Original Answers, Together with Some New Solutions, from Its Commencement in the Year 1704 to 1816, Volume 2J. Mawman, 1817 - Mathematics |
Common terms and phrases
altitude Answered axis bisecting centre circ circle consequently construction cosine curve cycloid Demonstration denoted described diameter diff distance draw drawn earth ecliptic ellipse equal feet flux fluxion frustum gallons Geom given angle given equation given ratio greatest height hence horizon hydrom hydrometer hyperbola inches latitude length Lionel Charlton maximum moidores parabola parallel Paul Sharp perpendicular produced proposed quantity quest QUESTION radius rectangle respectively right line right-angled Scholium segment semicircle sides similar triangles Simp Simpson's sine sine and cosine solution spherics square number sun's supposing tang tangent thence thereof trapezium velocity whence whole number Wildbore
Popular passages
Page 88 - In any quadrilateral figure, the sum of the squares on the diagonals together with four times the square on the line joining their middle points, is equal to the sum of the squares on all the sides.
Page 104 - A ball, descending by the force of gravity from the top of a tower, was observed to fall half the way in the last second of time. Required the tower's height, and the whole time of descent.
Page 192 - Old John, who had in credit liv'd, Though now reduc'd, a sum receiv'd. This lucky hit's no sooner found, Than clam'rous duns came swarming round. To th' landlord — baker — many more, John paid, in all, pounds.
Page 154 - A roof is 24 feet 8 inches by 14 feet 6 inches, and is to be covered with lead at Bibs, to the foot ; what will it come to at 18s. per cwt? Ans. 22Z. 19s. 10£d, 5. What is the side of that equilateral triangle, whose area cost as much paving at 8d.
Page 5 - SP the perpendicular on the tangent at A. Let AR be the radius of curvature; from the point a in the curve infinitely near A, draw am, an parallel to AS, AR. Let C — velocity in the curve, c •=. velocity in the circle.
Page 15 - Landen fent us a true method; but the calculus being fo pperofe, it was not wrought out. And no method appearing to us yet elegant enough for a place, it will be next year before we...
Page 313 - If any semi-diameter of any conic ellipsis be lengthened in the ratio of the side of a square to its diagonal, and from the end of that line two tangents be drawn to the...
Page 139 - The four sides of a field, whose diagonals are equal to each other, are 25, 35, 31, and 19 poles, respectively ; what is the area ?* Ans.
Page 149 - ... ceafe to touch the faid vertical plane ? how long will it then have been in motion? and how far from the point A will the end (m) ftrike the horizontal plane ? PRIZE QUESTION, ly M>r.
Page 103 - VE times Seven and Seven times Three Add to my Age, the Sum will be As many above Six Nines and Four -j As Twice my Years exceed a Score : > From hence, Swat Sir, my Age explore.