If the object point be infinitely distant, all rays received by the first member of the system are parallel, and their intersections, after traversing the system, vary according to their perpendicular height of incidence, i. e. their distance from the axis.

If the object point O is infinitely distant, u1 and u2 are to be replaced by h1 and h2, the perpendicular heights of incidence ; the sine condition then becomes sin u ' 1 / h1 = sin u ' 2 / h2.

If a laser is swept across a distant object, the spot of laser light can easily be made to move across the object at a speed greater than c. Similarly, a shadow projected onto a distant object can be made to move across the object faster than c. In neither case does the light travel from the source to the object faster than c, nor does any information travel faster than light.

: If any pilgrim monk come from distant parts, if with wish as a guest to dwell in the monastery, and will be content with the customs which he finds in the place, and do not perchance by his lavishness disturb the monastery, but is simply content with what he finds: he shall be received, for as long a time as he desires.

If the same pattern of intervals is seen in an observed spectrum from a distant source but occurring at shifted wavelengths, it can be identified as hydrogen too.

If the distant city did not have dialable numbers, the operator would dial the code for the inward operator serving the called party, and ask her to ring the number.

If a manual labourer or person with obviously dirty hands salutes or greets an elder or superior, he will deliberately show deference for their superior's comfort and avoid contact by bowing, touching the right forehead in a very quick salute or a distant " slamet ", prayer-hands gesture.

If the key corresponding to a particular character was pressed at the home station, it actuated the typewheel at the distant station just as the same character moved into the printing position, in a way similar to the daisy wheel printer.

If there is a temporary failure, should a more distant MX record be attempted, or should the server wait and retry later?

If the ore is still sufficiently rich, it may be worth shipping to a distant smelter ( direct shipping ore ).

If an exploration is required at a point too distant for the transportation of the inflated balloon, an additional apparatus for the generation of hydrogen gas will be required.

If Heracles was Alexander ’ s illegitimate child, then it also raises the pointed question as to why he, as Alexander ’ s only living son at the time of his death, was not immediately drawn into the succession disputes, and why he was passed over in favour of Philip Arrhidaeus-himself illegitimate-who was only a son of Alexander ’ s father Philip, and thus a more distant claimant than Heracles.

If at any time they produce children, they ( the offspring of the title-holder ) rank ahead of whatever more " distant " relative ( the title-holder's sibling, perhaps, or a nephew or cousin ) previously was heir presumptive.

If what has been known as schizoid personality disorder is no more than an attachment style requiring more distant emotional proximity, then many of the more problematic reactions these individuals show in interpersonal situations may be partly accounted for by the social judgments commonly imposed on those with this style.

If the theory has a mass gap, i. e. there are no masses between 0 and some constant greater than zero, then vacuum expectation distributions are asymptotically independent in distant regions.

If this process of continuous growth, local invasion, and regional and distant metastasis is not halted via a combination of stimulation of immunological defenses and medical treatment interventions, the end result is that the host suffers a continuously increasing burden of tumor cells throughout the body.

If the job was a distant one, he would take his pony and trap.

If we are beaten in a distant battle, it will soon be at our doors.

If so then arguably market rates of return should not be used to determine a discount rate, as doing so would have the effect of undervaluing the distant future ( e. g. climate change ).

In Hawaii v. Mankichi ( 1903 ) his opinion stated: " If the principles now announced should become firmly established, the time may not be far distant when, under the exactions of trade and commerce, and to gratify an ambition to become the dominant power in all the earth, the United States will acquire territories in every direction ... whose inhabitants will be regarded as ' subjects ' or ' dependent peoples ,' to be controlled as Congress may see fit ... which will engraft on our republican institutions a colonial system entirely foreign to the genius of our Government and abhorrent to the principles that underlie and pervade our Constitution.

If the distance of repeats is longer over some area, then that area will appear more distant ( like a hole in the plane ).

If the level is enclosed in a cube, the sky, distant mountains, distant buildings, and other unreachable objects are rendered onto the cube's faces using a technique called cube mapping, thus creating the illusion of distant three-dimensional surroundings.

* If the pope finds that the king who has been elected by the princes is unworthy of the imperial dignity, the princes must elect a new king or, if they refuse, the pope will confer the imperial dignity upon another king ; for the Church stands in need of a patron and defender.

If a patron wanted blue, they were forced to pay extra.

Thomas Bohier's arms decorate the 16th-century chimney, and on the 16th-century oak door, beneath the figures of their patron saints ( Saint Catherine and Saint Thomas ), the motto of Thomas Bohier and Catherine Briçonnet: " S ' il vient à point, me souviendra ) meaning: " If I manage to build Chenonceau, I will be remembered ".

In 2001, he voiced the character of a bar patron in the Family Guy episode " One If by Clam, Two If by Sea ".

* If the item is sent, the borrowing library notifies the patron when the item arrives.

As a " starving actor " Thomas made a vow: If he found success, he would open a shrine dedicated to St Jude Thaddeus, the patron saint of hopeless causes.

If the book was returned he would try another patron with a new set of arms, altering personal references as required ; where the subject matter was shared ( as in a wedding ) much of the verse could be recycled from one poem to another, and the scholar F. C. Brown has noticed that as many as two-thirds of the lines in Settle's wedding poems are " common to all.

If so, it has remained far more secret and " esoteric " than in any of the other great spiritual traditions of the world, so much so that its existence is highly doubtful ..." The Welsh writer Norman Lewis, in his celebrated account of life in Naples in 1944, claimed that San Rocco was the patron saint of coitus reservatus: " I recommended him to drink -- as the locals did -- marsala with the yolk of eggs stirred into it, and to wear a medal of San Rocco, patron of coitus reservatus, which could be had in any religious-supplies shop ".

If the squire " owned the living " ( i. e. " was patron ") of the parish church — and he often did — he would choose the rector, a role often filled by a younger son of the squire of that or another village.

If this is the case, he may have ceased writing " ... because of the death of his friend, and perhaps patron, Fulk de la Freigne.

If a McDonalds patron in Zurich were able to eat in an identical Moscow restaurant at one quarter the price they would do so, and price competition would then equalize the Big Mac price throughout the world.

He catered to the well-to-do — as he himself said “ If I can see beauty in the human face, and reproduce it, I can command three times the reward for my work than he who simply shoots a plate at his patron.

If that slave was made free, the man who released him became his patron.

If anything may be predicted in the quicksilver world of retailing, it seems likely that the suburban branch will come to dominate children's clothing ( taking the kid downtown is too much of a production ), household gadgetry and the discount business in big-ticket items.

If this analysis is correct, the suburban branches will turn out to be what management's cost accountants refuse to acknowledge, marginal operations rather than major factors.

If plans to increase the size of the town by twenty thousand people go ahead, suburban Aylesbury could well meet up with the neighbouring villages of Bierton, Hartwell, Stoke Mandeville, Stone, Sedrup and Weston Turville.

If the double-decker train had proved success on these Melbourne suburban train lines, another 19 double decker trains were proposed.

If there were to be a very large explosion, it would destroy most of the settlements within the valley in the suburban area of Quito ( pop.

If they live in a suburban area such as a neighborhood, they should have a fenced in yard and be taken on multiple walks daily.