 | Francis James Jameson - Mathematics - 1851 - 144 pages
...quadrilateral figure inscribed in a circle are together equal to two right angles, (in. 22.) (jB). If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles, together with two right angles, is equal to as many right... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...opposite angles of any quadrilateral figure inscribed in a circle are together equal to two right angles. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles... | |
 | George Salmon - Conic sections - 1852 - 329 pages
...subtract ; and we have 2a 2 /3 2 L + 7 M = 0, whence eliminating aj3, we find 7 (2 7 L + 3R) 2 + 2LM = 0, the equation of a conic. Ex. 2. If a polygon of...will also pass through a fixed point on the curve. Let us denote the ps of the vertices by aia z a- A9 &c., and of the fixed points by b^ &c. We take... | |
 | George Salmon - Conic sections - 1852 - 338 pages
.../32, the second by a?, and subtract ; and we have 2a2/32L + -yM = 0, whence eliminating aj3, we find the equation of a conic. Ex. 2. If a polygon of an...will also pass through a fixed point on the curve. Let us denote the ju's of the vertices by ala^a^, &c., and of the fixed points by b^, &c. We take the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...that four times the sum of the squares on BE and CF is equal to five times the square on BC. IIi. 22. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...+ z = 0, 2/33» — 3j62y + z - 0, a+/3 + y = 0, where y is known. We easily find y (2ya; + 3y)2 + Ixz = 0, the equation of a conic. Ex. 2. If a polygon...curve. Denote the parameters of the vertices by a,, %, &c., and of the fixed points by }„ i2, &C. We take the case of the quadrilateral for simplicity,... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...z = 0, 2/3*z - 3fPy + z = 0, a + ft + y = 0, where y is known. We easily find 7 (2yx + 3y)* + 2xz = 0, the equation of a conic. Ex. 2. If a polygon of...curve. Denote the parameters of the vertices by a,, a.,, ,fee., and of the fixed points by *,, 6j, Ac. We take the case of the quadrilateral for simplicity,... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles... | |
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... inscribed in a circle. 514. Find the shortest distance between two circles which do not meet. 515. Two circles cut one another at a point A : it is required to draw through A a straight line so that the extreme length of it intercepted by the two... 
