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Let there be a right angle ABC, r a line parallel to BC passing by A and s a line parallel to AB passing by C. Let D be the point of intersection of lines r and s ( Note that it has not been proven that D lies on the circle )
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Let and there
* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )
Ancient resources as well as recent archaeological evidence suggest that, at one point, Caligula had the palace extended to annex this structure. When several kings came to Rome to pay their respects to him and argued about their nobility of descent, he cried out " Let there be one Lord, one King ".
The Supremes, The group that made Ross famous and without which there probably wouldn't be any Diana Ross, scored a handful of hits in the disco clubs without Ross, most notably 1976's " I'm Gonna Let My Heart Do the Walking " and, their last charted single before disbanding, 1977's " You're My Driving Wheel ".
" Let there arise from you a group of people inviting to what is good, enjoining what is right, and forbidding what is wrong ; these are the ones who will be successful.
' Let us obey the Biblical injunction: you of course, have the choice of natural means ; but as for me, I am afraid that there is no course open to me but the scientific way.
Indeed, the great mercy of God who desires that all men should be saved, and Jesus ' tenderness toward children which caused him to say: ' Let the children come to me, do not hinder them ,' allow us to hope that there is a way of salvation for children who have died without Baptism.
* Let be the least number such that there is a file with length bits that compresses to something shorter.
In another experiment, subjects with autism and subjects without autism interpreted ideological and religious sayings ( for example, " Let a thousand flowers bloom " or " To everything there is a season ").
Let us get up early to the vineyards ; let us see whether the vine hath budded, whether the vine-blossom be opened, and the pomegranates be in flower ; there will I give thee my love.
Let φ be a net on X based on the directed set D and let A be a subset of X, then φ is said to be frequently in ( or cofinally in ) A if for every α in D there exists some β ≥ α, β in D, so that φ ( β ) is in A.
Let be the space of real-valued continuous functions on X which vanish at infinity ; that is, a continuous function f is in if, for every, there exists a compact set such that on
The motto at the top of the Arms of the University, in Hebrew characters, is " Let there be Light "; the motto at the bottom, in Latin, is " A Multitude of the Wise is the Health of the World.
On the death of Alexander II on 21 April 1073, as the obsequies were being performed in the Lateran Basilica, there arose a loud outcry from the clergy and people: " Let Hildebrand be pope!
Indeed, the very first chapter of the Bible ( Genesis 1 ) has God creating the world by a series of speech acts: " Let there be light!
Let T: X → X be a contraction mapping on X, i. e.: there is a nonnegative real number q < 1 such that
Sylows ' test: Let n be a positive integer that is not prime, and let p be a prime divisor of n. If 1 is the only divisor of n that is equal to 1 modulo p, then there does not exist a simple group of order n.
Let ’ s tell them the truth, that there are no gains without pains, that we are now on the eve of great decisions.
Let and be
Let every policeman and park guard keep his eye on John and Jane Doe, lest one piece of bread be placed undetected and one bird survive.
Let us assume that it would be possible for an enemy to create an aerosol of the causative agent of epidemic typhus ( Rickettsia prowazwki ) over City A and that a large number of cases of typhus fever resulted therefrom.
Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.
Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.
Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.
Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.
Let us take a set of circumstances in which I happen to be interested on the legislative side and in which I think every one of us might naturally make such a statement.
Let the state of the stream leaving stage R be denoted by a vector Af and the operating variables of stage R by Af.
Let it be granted then that the theological differences in this area between Protestants and Roman Catholics appear to be irreconcilable.
Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.
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