 | Thomas Leybourn - Mathematics - 1814 - 420 pages
...demonstrations were received from Metsrs. Adams, Baines, anda Lady. 2A 2 VIII. QUESTION 318, by GV If from one of the angles of a rectangle a perpendicular be drawn to its diagonal, and from their intersection lines be drawn perpendicular to the sides containing the opposite angle» then,... | |
 | Miles Bland - Astronomy - 1830 - 394 pages
...diameter of that circle, the whole of which is known; and the side CD perpendicular to AD and given. 47. If from one of the angles of a rectangle, a perpendicular be let fall on the diagonal D, and from the point of intersection perpendiculars P,p be let fall on the... | |
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...one of £2,100 in eight months. Find the equated time of one payment, interest being 5 per cent. 3. If from one of the angles of a rectangle a perpendicular be let fall on the diagonal D, and from the point of intersection perpendiculars P, p, be let fall on... | |
 | University of Cambridge - 1841 - 546 pages
...figure can be inscribed, whose area shall be I - I of the area of the former? W Ex. n = 2, n = 4. 3. If from one of the angles of a rectangle a perpendicular...perpendicular to the sides which contain the opposite angle ; shew that if p and p' be the lengths of the perpendiculars last drawn, and d the diagonal of the... | |
 | John Adams Coombe - 1841 - 220 pages
...4, cos — = - = cos — , m 2 3 or m = 3, and the figure is an equilateral triangle. PROBLEM III. If from one of the angles of a rectangle a perpendicular...perpendicular to the sides which contain the opposite angle ; shew that if p and p' be the lengths of the perpendiculars last drawn, and d the diagonal of the... | |
 | Geology - 1847 - 486 pages
...that our problem includes question 8, No. 1 1, Leybourn's Math. Repository, which reads as follows : If from one of the angles of a rectangle a perpendicular be drawn to its diagonal, and from their intersection lines be drawn perpendicular to the sides containing the opposite angle, then putting... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 474 pages
...distance of the observer from the base, the height of the eye being five feet. Am. 99 '874922 feet. 20. If from one of the angles of a rectangle a perpendicular be drawn to its diagonal, and from the point of intersection' with the diagonal lines be drawn perpendicular to the sides which contain the opposite... | |
 | James Hann - Plane trigonometry - 1854 - 138 pages
...cot» C)}], +Б _ /c2+ 4A{cot С + ./(1 + cot' C)} -'Б ~ V e + 4A{cot С - ^/(1 + cot2 C)j ' (12) If from one of the angles of a rectangle a perpendicular be drawn to its diagonal, and from their intersection, lines be drawn perpendicular to the sides containing the opposite angle, then putting... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...and shew that they are in harmonic proportion with the area of a regular circumscribed pentagon. 6. If from one of the angles of a rectangle, a perpendicular be let fall on the diagonal d, and from the point of intersection, perpendiculars », a be let fall on... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...another square having its side equal to a given straight line. What are the limits of this line ? 42. If from one of the angles of a rectangle, a perpendicular be drawn to its diagonal d, and from the point of their intersection, lines p, q be drawn perpendicular to the sides which contain... | |
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If from one of the angles of a rectangle a perpendicular be drawn to its diagonal, and from, the point of their intersection lines be drawn perpendicular to the sides which contain the opposite angle... 
