The first and second books of Euclid explained to beginners, by C.P. Mason |
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Side vii
... position round a fixed point in the line itself . This furnishes the beginner with an admirable illustration , but I ... position of the point . The line along which the point has moved is a separate creation of the mind . In like manner ...
... position round a fixed point in the line itself . This furnishes the beginner with an admirable illustration , but I ... position of the point . The line along which the point has moved is a separate creation of the mind . In like manner ...
Side viii
... position ( not motion ) of two lines is essential . Whatever may be the difficulties or defects of Euclid's " Elements , " it is tolerably certain that it will be a long time before it is superseded as a text- book . Meanwhile it is of ...
... position ( not motion ) of two lines is essential . Whatever may be the difficulties or defects of Euclid's " Elements , " it is tolerably certain that it will be a long time before it is superseded as a text- book . Meanwhile it is of ...
Side 4
... . This is not at all necessary : the lines may be in any conceivable position , so long as their inclination to each other is such as is stated in the definition . Def . XVII . A diameter of a circle is 4 THE FIRST BOOK OF EUCLID.
... . This is not at all necessary : the lines may be in any conceivable position , so long as their inclination to each other is such as is stated in the definition . Def . XVII . A diameter of a circle is 4 THE FIRST BOOK OF EUCLID.
Side 10
... position as in another , with all their parts and properties exactly the same as before . When , therefore , we talk of applying one figure to another , we mean that we are to conceive the figures in our minds as being so situated ...
... position as in another , with all their parts and properties exactly the same as before . When , therefore , we talk of applying one figure to another , we mean that we are to conceive the figures in our minds as being so situated ...
Side 11
... position of the point A , and the direction of the line AB , we can then make the point B fall where we like . When we have fixed the position of one end of a given line , and the direction in which it is to lie , we have nothing more ...
... position of the point A , and the direction of the line AB , we can then make the point B fall where we like . When we have fixed the position of one end of a given line , and the direction in which it is to lie , we have nothing more ...
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The first and second books of Euclid explained to beginners, by C.P. Mason Euclid,Charles Peter Mason Uten tilgangsbegrensning - 1872 |
The first and second books of Euclid explained to beginners, by C.P. Mason Euclid,Charles Peter Mason Uten tilgangsbegrensning - 1872 |
The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
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.