...opposite hyperbolas, perpendiculars be drawn to the second axis, the square of the one perpendicular is to the square of the other, as the sum of the squares of half the second axis, and of the distance between the former perpendicular and the centre, is to the sum of the squares...

...opposite hyperbolas : the square of this second diameter is to the square of the conjugate diameter, as the sum of the squares of half the second diameter, and the part of it between the ordinate and the centre, is to the square of the ordinate. Let AB and MN be...

...opposite hyperbolas : the square of this second diameter, is to the square of the conjugate diameter, as the sum of the squares of half the second diameter, and the part of it between the ordinate and the centre, is to the square of the ordinate. Let AB and HN be...