The first and second books of Euclid explained to beginners, by C.P. Mason |
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Side 8
... fourth proposition , in the proof of which we have to make use of the truth that two equal straight lines will coincide throughout their entire length . two figures must intersect one another in two points at 8 THE FIRST BOOK OF EUCLID.
... fourth proposition , in the proof of which we have to make use of the truth that two equal straight lines will coincide throughout their entire length . two figures must intersect one another in two points at 8 THE FIRST BOOK OF EUCLID.
Side 10
... through the steps of the proof . It must be borne in mind , that the object of the propositions is not to convince us of the truth of certain facts , or of the existence of certain properties 10 THE FIRST BOOK OF EUCLID.
... through the steps of the proof . It must be borne in mind , that the object of the propositions is not to convince us of the truth of certain facts , or of the existence of certain properties 10 THE FIRST BOOK OF EUCLID.
Side 20
... proof of its cor- rectness , to remain word for word the same in all four cases . When the proposition has been mastered with the first construction , it should be carefully gone through with each of the other three ; and then all four ...
... proof of its cor- rectness , to remain word for word the same in all four cases . When the proposition has been mastered with the first construction , it should be carefully gone through with each of the other three ; and then all four ...
Side 25
... proof may be gone through word for word as before . Then ( in the original figure ) let it be supposed that we know that the sides CA and A B are equal respectively to FD and DE , and the CAB to the FDE . By altering the position of the ...
... proof may be gone through word for word as before . Then ( in the original figure ) let it be supposed that we know that the sides CA and A B are equal respectively to FD and DE , and the CAB to the FDE . By altering the position of the ...
Side 26
... proof of the proposition we must know , - 1. That if equals be taken from equals , the re- mainders are equal . ( Ax . III . ) 2. That if two As have two sides of the one equal to two sides of the other , each to each , and have ...
... proof of the proposition we must know , - 1. That if equals be taken from equals , the re- mainders are equal . ( Ax . III . ) 2. That if two As have two sides of the one equal to two sides of the other , each to each , and have ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Ingen forhåndsvisning - 2016 |
Almindelige termer og sætninger
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
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Side 13 - CARPENTER'S (Dr. WB) Zoology. A Systematic View of the Structure, Habits, Instincts, and Uses of the principal Families of the Animal Kingdom, and of the chief Forms of Fossil Remains. Revised by WS Dallas, FLS Numerous Woodcuts. 2 vols. 6s. each. — Mechanical Philosophy, Astronomy, and Horology. A Popular Exposition. 181 Woodcuts. CARPENTER'S Works.— Continued. — Vegetable Physiology and Systematic Botany.
Side 12 - DONALDSON'S The Theatre of the Greeks. A Treatise on the History and Exhibition of the Greek Drama. With numerous Illustrations and 3 Plans. By John William Donaldson, DD 5*. DRAPER'S History of the Intellectual Development of Europe.
Side 144 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 149 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC...
Side 7 - Second French Book ; being a Grammar and Exercise Book, on a new and practical plan, and intended as a sequel to the
Side 152 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Side 12 - Social advancement is as completely under the control of natural law as is bodily growth. The life of an individual is a miniature of the life of a nation.
Side 6 - The Enunciations and Figures belonging to the Propositions in the First Six and part of the Eleventh Books of Euclid's Elements, (usually read in the Universities,) prepared for Students in Geometry. By the Rev. J. Brasse, DD New Edition. Fcap. 8vo. Is. On cards, iu case, 5s.
Side 11 - Long. 5 vols. 8vo. 14s. each. A History of England during the Early and Middle Ages. By CH Pearson, MA 2nd Edition revised and enlarged.
Side 16 - Dr. Richardson's Philological Dictionary of the ENGLISH LANGUAGE. Combining Explanation with Etymology, and copiously illustrated by Quotations from the Best Authorities. New Edition, with a Supplement containing additional Words and further Illustrations. In 2 vols. 4to.