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similitude

Draw Pp and Qq touching both catenaries, Pp and Qq will intersect at T, a point in the directrix; for since any catenary with its directrix is a similar figure to any other catenary with its directrix, if the directrix of the one coincides with that of the other the centre of similitude must lie on the common directrix.

113He is shown the " holy church " under the similitude of a tower in building, and the great and final tribulation (already alluded to as near at hand) under that of a devouring beast, which yet is innocuous to undoubting faith.

103- The " centres of similitude " of two circles may be defined as the intersections of the common tangents to the two circles, the direct common tangents giving rise to the " external centre," the transverse tangents to the " internal centre."

61The circle on the line joining the internal and external centres of similitude as diameter is named the " circle of similitude."

52that returns from the bottomless pit, "that was, and is not, and yet is"; the head "as it were wounded to death" that lives again; the gruesome similitude of the Lamb that was slain, and his adversary in the final struggle.

52With a system of three circles it is readily seen that there are six centres of similitude, viz.

53John Casey, professor of mathematics at the Catholic university of Dublin, has given elementary demonstrations founded on the theory of similitude and coaxal circles which are reproduced in his Sequel to Euclid; an analytical solution by Gergonne is given in Salmon's Conic Sections.

53In this paper Vieta made use of the centre of similitude of two circles.

59Hence T, the point of intersection of Pp and Qq, must be the centre of similitude and must be on the common directrix.

41Again, Moses differs from all other prophets in that Yahweh speaks to him face to face, and he sees the similitude of Yahweh.

42The theory of centres of similitude and coaxal circles affords elegant demonstrations of the famous problem: To describe a circle to touch three given circles.

42The theory of centres of similitude and coaxal circles affords elegant demonstrations of the famous problem: To describe a circle to touch three given circles.

42Centres and Circle of Similitude.

00two for each pair of circles, and it may be shown that these lie three by three on four lines, named the " axes of similitude."

00Also, since the curves at P and p are equally inclined to the directrix, P and p are corresponding, points and the line P p must pass through the centre of similitude.

00Similarly Qq must pass through the centre of similitude.

00similitude of a palace.

00similitude of people who falsify the Signs of Allah: and Allah guides not people who do wrong.

00He saw the similitude or form of the LORD.

00It is like Fortunatus's purse, to use the similitude; ye shall always find something in it.

00If it is permissible to speak of the relations of living forms to one another metaphorically, the similitude chosen must undoubtedly be that of a common root, whence two main trunks, one representing the vegetable and one the animal world, spring; and, each dividing into a few main branches, these subdivide into multitudes of branchlets and these into smaller groups of twigs.

00He is shown the " holy church " under the similitude of a tower in building, and the great and final tribulation (already alluded to as near at hand) under that of a devouring beast, which yet is innocuous to undoubting faith.

00In this paper Vieta made use of the centre of similitude of two circles.

00Again, Moses differs from all other prophets in that Yahweh speaks to him face to face, and he sees the similitude of Yahweh.

00Centres and Circle of Similitude.

00- The " centres of similitude " of two circles may be defined as the intersections of the common tangents to the two circles, the direct common tangents giving rise to the " external centre," the transverse tangents to the " internal centre."

00The circle on the line joining the internal and external centres of similitude as diameter is named the " circle of similitude."

00With a system of three circles it is readily seen that there are six centres of similitude, viz.

00two for each pair of circles, and it may be shown that these lie three by three on four lines, named the " axes of similitude."

00John Casey, professor of mathematics at the Catholic university of Dublin, has given elementary demonstrations founded on the theory of similitude and coaxal circles which are reproduced in his Sequel to Euclid; an analytical solution by Gergonne is given in Salmon's Conic Sections.

00that returns from the bottomless pit, "that was, and is not, and yet is"; the head "as it were wounded to death" that lives again; the gruesome similitude of the Lamb that was slain, and his adversary in the final struggle.

00Draw Pp and Qq touching both catenaries, Pp and Qq will intersect at T, a point in the directrix; for since any catenary with its directrix is a similar figure to any other catenary with its directrix, if the directrix of the one coincides with that of the other the centre of similitude must lie on the common directrix.

00Also, since the curves at P and p are equally inclined to the directrix, P and p are corresponding, points and the line P p must pass through the centre of similitude.

00Similarly Qq must pass through the centre of similitude.

00Hence T, the point of intersection of Pp and Qq, must be the centre of similitude and must be on the common directrix.

00Then these stones must be polished after the similitude of a palace.

00Evil is the similitude of people who falsify the Signs of Allah: and Allah guides not people who do wrong.

00He saw the similitude or form of the LORD.

00It is like Fortunatus 's purse, to use the similitude; ye shall always find something in it.

00

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.