 | Dionysius Lardner - Geometry, Algebraic - 1823 - 658 pages
...spiral similar to the given one, and which is therefore the caustic sought. SECTION XXIV. Praxis. (1.) Given the base and the sum of the sides of a triangle to determine the loci of the points where the angles of the inscribed square meet the sides, and also... | |
 | Mechanical problems - Mechanics - 1828 - 204 pages
...Given two sides of a triangle; determine the third, so that the time down it may be a minimum. 162. Given the base and the sum of the sides of a triangle; determine the triangle when the times of the body's descending down the sides, taken together, may... | |
 | John Radford Young - Conic sections - 1830 - 342 pages
...the origin of the axes (38) to the vertex, that is, to the point ( — , — \ the equation becomes therefore the parameter is a = CD. PROBLEM IX. (150.)...lines from the angles bisecting the opposite sides. f ANALYTICAL GEOMETRY. Let M be the middle of the base, AB, and take MB, MY, for rectangular axes.... | |
 | John Radford Young - Conic sections - 1830 - 360 pages
...locus of P would have been a straight line through p, perpendicular to the base. Tie PROBLEM XI. (152.) Given the base and the sum of the sides of a triangle to find the locus of the centre of the circle touching the base, and the prolongation of the other two sides. Taking the same... | |
 | John Radford Young - Conic sections - 1830 - 390 pages
...locus of P would have been a straight line through p, perpendicular to the base. PROBLEM XI. (152.) Given the base and the sum of the sides of a triangle to find the locus of the centre of the circle touching the base, and the prolon* Sation of the other two sides. Taking the same... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1831 - 70 pages
...demonstration of the theorem, " that У may " be equal to a finite quantity." 8. Given the base and sum of the sides of a triangle to find the locus of the centre of the inscribed circle. ALGEBRA, GEOMETRY, &c. III. 1. Find the roots of the equation x3 +3aa?2... | |
 | Dionysius Lardner - Geometry, Algebraic - 1831 - 582 pages
...spiral similar to the given one, and which is therefore the caustic sought. SECTION XXIV. Prcmis. (1.) Given the base and the sum of the sides of a triangle to determine the loci of the points where the angles of the inscribed square meet the sides, and also... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...vertical angle, the base, and the altitude of a triangle, to construct it. 15. Given the vertical angle, the base, and the sum of the sides of a triangle, to construct it. 16. If the opposite sides of a quadrilateral inscribed in a circle be produced to meet,... | |
 | John Radford Young - Geometry, Analytic - 1838 - 296 pages
...of perpendiculars from the angles to the opposite sides ... ••• ••• ... ... ... H2 185. Given the base and the sum of the sides of a triangle, to find Article. Page. 186. Given the base and sum of the sides of a triangle, to find the locus of the centre... | |
 | Charles Hutton - Mathematics - 1843 - 570 pages
...locus will be a circle under the following conditions : — (1). Given the base and sum of the squares of the sides of a triangle to find the locus of the vertex. (2). Given the base and vertical angle of a triangle, to find the locus of (a) the intersection... | |
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Given the base and the sum of the sides of a triangle, to find the locus of the point of intersection of lines from the angles bisecting the opposite sides. 
