For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.

For hundreds of years, the evidence available consisted of ( 1 ) the captain's fragmentary journal, ( 2 ) a highly prejudiced account by one of the survivors, ( 3 ) a note found in a dead man's desk on board, and ( 4 ) several second-hand reports.

For this does not account for the integral, elemental power of that which grows with abounding vigor as the play unfolds, nor does it explain the strange numinous sense of presentness which comes over those who watch the play like a spell.

For in Christ Jesus neither circumcision nor uncircumcision but a new creation is of any account.

For much more distant objects the Euclidean approximation is not valid, and General Relativity must be taken into account when calculating the luminosity distance of an object.

For 160 years Wirt's account was taken at face value.

For example the entries in the Sales Journal are taken and a debit entry is made in each customer's account ( showing that the customer now owes us money ) and a credit entry might be made in the account for " Sale of class 2 widgets " ( showing that this activity has generated revenue for us ).

For example, the " inventory " account asset account might be changed to bring them into line with the actual numbers counted during a stock take.

For incumbent management, the contrary views of some of their members were not matters to be weighed in the balance and taken account of in formulation of policy.

For an atemporal interpretation that “ makes no attempt to give a ‘ local ’ account on the level of determinate particles ”, the conjugate wavefunction, (" advanced " or time-reversed ) of the relativistic version of the wavefunction, and the so-called " retarded " or time-forward version are both regarded as real and the transactional interpretation results.

For example, in one of the Four Great Classical Novels of China, The Dream of the Red Chamber ( believed to be a semi-autobiographical account of author Cao Xueqin's own family life ), three generations of the Jia family are supported by one favorite concubine of the Emperor.

" For Adorno and Horkheimer, this posed the problem of how to account for the apparent persistence of domination in the absence of the very contradiction that, according to traditional critical theory, was the source of domination itself.

* For a more detailed account of Christine de Pizan ’ s rhetorical strategies refer to Jenny R. Redfern ’ s excerpt Christine de Pisan and The Treasure of the City of Ladies: A Medieval Rhetorician and Her Rhetoric ( in Reclaiming Rhetorica, ed.

For numerical calculations, it is important to take account of the characteristics of the arithmetic.

* Technological progress — For over a century, economists have known that capital and labor do not account for all of economic growth.

For some of the ancient sources, such as Herophilus, Galen's account of their work is all that survives.

For example, it is quite common for works of moral instruction to have an imaginative setting, as a means of getting the audience's attention, but it is difficult to see how Hesiod could have travelled the countryside entertaining people with a narrative about himself if the account was known to be fictitious.

For Habakkuk, however, there is no reliable account of any of these.

For example, Joseph Goering of the University of Toronto has identified sources for Grail imagery in 12th century wall paintings from churches in the Catalan Pyrenees ( now mostly removed to the Museu Nacional d ' Art de Catalunya, Barcelona ), which present unique iconic images of the Virgin Mary holding a bowl that radiates tongues of fire, images that predate the first literary account by Chrétien de Troyes.

For the past hundred years there has been an abundance of evidence that psychological and physiological changes could be produced by hypnotism which were worth study on their own account, and also that such changes might be of great service in the treatment of patients.

For instance, David Ricardo theorized that prices are determined by the amount of labor but found exceptions for which the labor theory could not account.

For example, one might argue that the myth of the wind-god Aeolus evolved from a historical account of a king who taught his people to use sails and interpret the winds.

For example, in a pure cash deal ( financed from the company ’ s current account ), liquidity ratios might decrease.

Harold Clurman is right to say that `` Waiting For Godot '' is a reflection ( he calls it a distorted reflection ) `` of the impasse and disarray of Europe's present politics, ethic, and common way of life ''.

For a dawning sense of illumination occurs in consequence of two events which, as so often in Malraux, suddenly confront a character with the existential question of the nature and value of human life.

For the moment there was no woman in his life, and it was this vacuum that had given Claire her opportunity.

For what Sam Rayburn's life in this House teaches us is that loyalty and character are not divisive and there is no such thing as being for your country and neglecting your district.

For restoration of early American life the places to visit are Williamsburg, Jamestown and Yorktown, Virginia.

`` For these and other reasons '', says Dr. Brodie, `` orthodontics can prolong the life of teeth ''.

For many of these unwed mothers, the data on their family life and early childhood experiences revealed several indications and sources of their basic mistrust of their parents in particular and of the world in general.

For the first time in his life he forgot the lyrics midway through and had to cover up by humming the rest.

This is one of the main reasons for National Library Week, April 16-22, and for its theme: `` For a richer, fuller life, read ''!!

`` For God so loved the world, that he gave his only begotten Son, that whosoever believeth in Him should not perish, but have everlasting life '' ( John 3::

For example, early in my life, when one of my editorial workers wanted to find out how churches and philanthropic organizations met the needs of New York's down-and-outers, he didn't just ask questions.

* For Ibn Sina's life, see Ibn Khallikan's Biographical Dictionary, translated by de Slane ( 1842 ); F. Wüstenfeld's Geschichte der arabischen Aerzte und Naturforscher ( Göttingen, 1840 ).

For example, an estate is granted to A for life, with remainder to the heir of B.

Athanasius writes, " For monks, the life of Anthony is a sufficient example of asceticism.

For most of the first fifteen years of her life, Beatrix spent summer holidays at Dalguise, an estate on the River Tay in Perthshire, Scotland.

For the remainder of his life, although he was passionately devoted to Hungary, its people and its culture, he never felt much loyalty to the government or its official establishments.

For example, the pelican, which was believed to tear open its breast to bring its young to life with its own blood, was a living representation of Jesus.

For the remainder of his life he spent time between Albuquerque, New Mexico and Florida, living the last 13 years of his life in Archer, Florida, a small farming town near Gainesville.

In Canto XI of the same book a hermit named Māṇḍakarṇi is mentioned: " For he, great votarist, intent -- On strictest rule his stern life spent -- ... -- Ten thousand years on air he fed ..." ( English quotations are from Ralph T. H. Griffith's translation ).

For example, on Saint Lucia, harvesting mangrove for timber and clearing for fishing reduced the mangrove forests, resulting in a loss of habitat and spawning grounds for marine life that was unique to the area.

For instance, a person who sustains bodily injury through the negligence of another may sue for medical costs, pain, suffering, loss of earnings or earning capacity, mental and / or emotional distress, loss of quality of life, disfigurement and more.

For a few illustrative examples: German speakers use " Wasserstoff " ( water substance ) for " hydrogen ", " Sauerstoff " ( acid substance ) for " oxygen " and " Stickstoff " ( smothering substance ) for " nitrogen ", while English and some romance languages use " sodium " for " natrium " and " potassium " for " kalium ", and the French, Italians, Greeks, Portuguese and Poles prefer " azote / azot / azoto " ( from roots meaning " no life ") for " nitrogen ".

Most comic strip characters do not age throughout the strip's life, but in some strips, like Lynn Johnston's award-winning For Better or For Worse, the characters age as the years pass.