![Plane and solid analytic geometry; an elementary textbook . quilateral hyperbola and its conjugate are evi-dently equal to each other. Figure 63 shows an equi-lateral hyperbola and its conjugate. 118 ANALYTIC GEOMETRY [ Plane and solid analytic geometry; an elementary textbook . quilateral hyperbola and its conjugate are evi-dently equal to each other. Figure 63 shows an equi-lateral hyperbola and its conjugate. 118 ANALYTIC GEOMETRY [](https://c8.alamy.com/comp/2AJGRTT/plane-and-solid-analytic-geometry-an-elementary-textbook-quilateral-hyperbola-and-its-conjugate-are-evi-dently-equal-to-each-other-figure-63-shows-an-equi-lateral-hyperbola-and-its-conjugate-118-analytic-geometry-ch-ix-70-problems-1-write-the-equation-of-an-hyperbola-conjugate-to-thehyperbola-4-a-2-y2-=-4-and-find-its-axes-eccentricity-latusrectum-the-coordinates-of-its-foci-and-the-equations-of-itsdirectrices-2-find-the-eccentricity-of-the-equilateral-hyperbola-3-show-that-if-e-and-e-are-the-eccentricities-of-two-conju-gate-hyperbolas-=-1-and-ae-=-be-4-find-the-2AJGRTT.jpg)
Plane and solid analytic geometry; an elementary textbook . quilateral hyperbola and its conjugate are evi-dently equal to each other. Figure 63 shows an equi-lateral hyperbola and its conjugate. 118 ANALYTIC GEOMETRY [
![Plane and solid analytic geometry; an elementary textbook . 10 and e = 3. 3. What is the equation of an hyperbola, if its centre is atthe point («, /?) and its Plane and solid analytic geometry; an elementary textbook . 10 and e = 3. 3. What is the equation of an hyperbola, if its centre is atthe point («, /?) and its](https://c8.alamy.com/comp/2AJGT65/plane-and-solid-analytic-geometry-an-elementary-textbook-10-and-e-=-3-3-what-is-the-equation-of-an-hyperbola-if-its-centre-is-atthe-point-and-its-axes-are-parallel-to-the-coordinate-axes-4-what-is-the-equation-of-the-hyperbola-which-has-itscentre-at-the-origin-and-its-foci-on-the-x-axis-and-whichpasses-through-the-points-5-3-and-3-2-5-show-that-the-latus-rectum-of-the-hyperbola-is-6-show-that-the-foot-of-the-perpendicular-from-the-focusof-an-hyperbola-on-an-asymptote-is-at-the-distance-a-from-thecentre-and-b-from-the-focus-7-show-that-the-circle-of-radius-b-2AJGT65.jpg)
Plane and solid analytic geometry; an elementary textbook . 10 and e = 3. 3. What is the equation of an hyperbola, if its centre is atthe point («, /?) and its
![SOLVED:The eccentricity of a hyperbola with a horizontal transverse axis is e=√(1+m^2), where m and -m the slopes of the asymptotes. SOLVED:The eccentricity of a hyperbola with a horizontal transverse axis is e=√(1+m^2), where m and -m the slopes of the asymptotes.](https://cdn.numerade.com/previews/66a007e7-829b-4d9a-8e98-bc04ec95d9e6_large.jpg)