 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...circles touch each other; to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact. 40. If four straight lines intersect each other, and form four triangles; the circles which circumscribe... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...circles touch each other; to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact. Let three equal circles, whose centres are A, B, C, touch each other in D, F, E. Join AB, BC, CA, ED,... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...circles touch each other, to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact Let three equal circles, whose centres are A, B, C, touch each other in D, E, F. Join AB, BC, CA, ED,... | |
 | Euclides - 1845 - 546 pages
...circles touch each other; to compare the area of the triangle formed by joining their centres with the area of the triangle formed by joining the points of contact. 102. Four equal circles touch each other and a given circle externally : compare the radius of one... | |
 | Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...given side. 101. The area of the triangle formed by joining the centres, may be shewn to be four times the area of the triangle formed by joining the points of contact of the circles. 102. If the radius of the given circle be unity, the radius of each of the four equal... | |
 | Mathematics - 1871 - 426 pages
...will coincide if f! ^ a" t which lead at once to the condition —, ± r, ± 1 = 0. ab Now if Д be the area of the triangle formed by joining the points of contact, and Д' that of the circumscribed triangle, Д /3 — 7 7— aa — ß -, = ±2 coe-^-г сов—... | |
 | Dublin city, univ - 1857 - 692 pages
...x). 4. Approximate to the value of the common logarithm of 3 by the method of continued fractions. 5. The area of the triangle formed by three tangents to a parabola u half that of the triangle formed by joining their points of contact. 6. Prove that the reciprocal... | |
 | Charles Taylor - Conic sections - 1863 - 262 pages
...parallel to three given straight lines, none of which is parallel to the axis of the parabola. 85. The area of the triangle formed by three tangents...triangle formed by joining the points of contact. 86. PQ is any chord of a parabola cutting the axis in L; R, R' are the two points in the parabola at... | |
 | Dublin city, univ - 1863 - 312 pages
...given angle, find the locus of their intersection. 10. A, B, C are the angles of a plane triangle, S is the area of the triangle formed by joining the points of contact of the inscribed circle, and S' is the area of the triangle made by joining the intersections of the... | |
 | Robert Potts - 1865 - 528 pages
...circle. 149. The area of the triangle formed by joining the centers, may be shewn to be four times the area of the triangle formed by joining the points of contact of the circles. 150. Let AB be the base of the given segment, C its middle point. Let DCB be the required... | |
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Д0 be the area of the triangle formed by joining the points of contact... 
