 | William Chauvenet - Geometry - 1871 - 380 pages
...PB + PC. 40. If a triangle ABC is formed by the intersection of three tangents to a circumference, two of which, AM and AN, are fixed, while the third...BC touches the circumference at a variable point P, prove that the perimeter of the triangle ABC is constant, and equal to AM + AN, or 2 AN. Also, prove... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...PB + PC. 40. If a triangle ABC is formed by the intersection of three tangents to a circumference, two of which, AM and AN, are fixed, while the third...BC touches the circumference at a variable point P, prove that the perimeter of the triangle AISGis constant, and equal to AM + AN, or 2 AN. Also, prove... | |
 | William Chauvenet - Geometry - 1875 - 390 pages
...which, AM and AN, are fixed, while the third BC touches the circumference at a variable point P, prove that the perimeter of the triangle ABC is constant, and equal to AM + AN, or 2, AN. Also, prove that the angle BOC is constant. 41. If ABC is a triangle inscribed in a circle, and... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...triangle ABC lie. formed by the intersection of three tangents to a circumference whose centre is 0, two of which, AM and AN, are fixed, while the third,...equal to AM + AN, or 2 AM . Also show that the angle B 0 C is constant. 7. AB is any chord and AC is tangent to a circle at A, CDE a line cutting the circumference... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...triangle AB С be formed by the intersection of three tangents to a circumference whose centre is 0, two of which, AM and AN, are fixed, while the third,...point P ; show that the perimeter of the triangle AB С is constant, and equal to AM + AN, or 2 A M. Also show that the angle B 0 С is constant. 7.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...tangents to a circumference whose centre is 0, two of which, AM and AN, are fixed, while the third, B С, touches the circumference at a variable point P ; show that the perimeter of the triangle AB С is constant, and equal to AM + AN, or 2 A M. Also show that the angle BOC is constant. ' \^ 7.... | |
 | William Chauvenet - Geometry - 1879 - 380 pages
...which, AM and AN, are fixed, while the third BC touches the circumference at a variable point P, prove that the perimeter of the triangle ABC is constant, and equal to Also, prove that the angle BOC is constant. 41. If ABC is a triangle inscribed in a circle, and from... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...tangents to a circumference whose centre is 0, two of which, AM and AN, are fixed, while the third, B С, touches the circumference at a variable point P ; show that the perimeter of the triangle AB С is constant, and equal to AM + AN, or 2AM. Also show that the angle B 0 С is constant. 7. AB... | |
 | George Albert Wentworth - Geometry - 1882 - 442 pages
...triangle AB С be formed by the intersection of three tangents to a circumference whose centre is 0, two of which, AM and AN, are fixed, while the third,...perimeter of the triangle ABC is constant, and equal to AM + A JY, or 2 AM '. Also show that the angle B 0 C is constant. 7. AB is any chord and A С is tangent... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...centre is 0, two of which, f\^AM and AN, are fixed, while the third, BC, touches the cir| cumference at a variable point P ; show that the perimeter of...triangle ABC is constant, and equal to AM + AN, or <—/ 2AM. Also show that the angle B 0 C is constant. 7. AB is any chord and AC is tangent to a circle... | |
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ABC be formed by the intersection of three tangents to a circumference whose centre is 0, two of which, AM and AN, are fixed, while the third, BC, touches the circumference at a variable point P; show that the perimeter of the triangle ABC is constant,... 
