 In an oblique-angled plane triangle ; there is given the difference of the sides which includes the angle of 71° 10,' equal to 11, and the line that bisects the said angle is equal to 24 ; from whence is required a theorem that will determine the base...  The Elements of Analytical Geometry ... - Page 37by John Radford Young - 1835 - 288 pagesFull view - About this book
 | Mathematical recreations - 1774 - 734 pages
...of the line ; which is as the cubes of the ordinatcs. Queflion CCLIII. By Mr. T. Sandalls. LD 1 744. In an oblique-angled plane triangle there is given the difference 'of the fides, which include the angle H2Q, equal to 20, and the perpendicular let fall from that angle on... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...and 25 = 4x' + 1бд?2 — 40# + 25 ; by transposition, 40,r = 20a?3 ; .'. 2 = 0?, and у = \x — 5 = 3; /. the sides of the triangle are 3, 4, and...the sides of the rectangle are 2, and 5 ; and the areas of the triangle and rectangle are 6, and 10, respectively. SECTION IX. Examples of the Solution... | |
 | Miles Bland - Algebra - 1824 - 404 pages
...of, and 25— 4x"-+l6x* — by transposition, and у = 4x — 5 = 3 ; .'. the sides of the trfangle are 3, 4, and 5 ; the sides of the rectangle are 2, and 5; and the areas of the triangle and rectangle are 6, and 10, respectively. SECT. IX. Examples of the Solution... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...query, that whose solidity is a maximum. 17. — In an oblique-angled plane triangle, there is given tho difference of the sides which includes the angle of...bisects the said angle is equal to 24 ; from whence is required • theorem that will determine the base and sides of the said triangle. 18. — Suppose a... | |
 | John Radford Young - Conic sections - 1833 - 310 pages
...— 5)2|, and 25 = 4^ + 16^ — 40z + 25; by transposition 40x = 20^; that is 2 = x and y = 4x — 5 = 3; the sides of the triangle are 3, 4, and 5 ;...bisects the said angle is equal to 24 ; from whence is required a theorem that will determine the base and sides of the said triangle. The figure can be supplied... | |
 | Miles Bland - Algebra - 1841 - 456 pages
...— 5)*}, and 25 = 4Л?* + 16#f — 40# + 25 ; by transposition, 40# = 20#* ; Л 2 = #, and y = 4#— 5 = 3; .~. the sides of the triangle are 3, 4, and...; the sides of the rectangle are 2, and 5; and the areas of the triangle and rectangle are 6, and 10, respectively. SECTION IX. Examples of the Solution... | |
 | John Radford Young - Geometry, Analytic - 1848 - 300 pages
...5)2£, and 25 = 4a;2 + 16:c2 — 40.r + 25; by transposition 40x = 20 j2; that is 2 = x andr/ = 4r — 5 = 3 ; the sides of the triangle are 3, 4, and 5...an oblique-angled plane triangle ; there is given ths difference of the sides which includes the angle of 71° 10,' equal to 11, and the line that bisects... | |
 | Miles Bland - Algebra - 1849 - 486 pages
...25 = ix' + i6a?' — 40a? + 25; by transposition, 40# = 20#2 ; Л 2 = X, and у = 4x — 5 = з ; /. the sides of the triangle are 3, 4, and 5 ; the sides of the rectangle are 2, and 5 ; and the areas of the triangle and rectangle are 6, and 10, respectively. SECTION IX. Examples of the Solution... | |
 | John Radford Young - Geometry, Analytic - 1850 - 294 pages
...5)2^^ and 25 = 4^2 + 16^3 — 40rc + 25; by transposition 40a? = 20,^; that is 2 rr: ;c andi/ t= 4# — 5 = 3 ; the sides of the triangle are 3, 4, and 5...rectangle are 6, and 10 respectively. PROBLEM XXXI. Ill an oblique-angled plane triangle ; there is given the difference of the sides which includes the... | |
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