The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα vii
... magnitude some eminent teachers avail themselves of the conception of the revolution of a straight line from a given ... magnitude ; it produces only a change in the position of the line . Angular magnitude is a separate product of ...
... magnitude some eminent teachers avail themselves of the conception of the revolution of a straight line from a given ... magnitude ; it produces only a change in the position of the line . Angular magnitude is a separate product of ...
Σελίδα viii
Euclid, Charles Peter Mason. Angular magnitude is a separate product of thought , for which a certain relative position ( not motion ) of two lines is essential . Whatever may be the difficulties or defects of Euclid's " Elements , " it ...
Euclid, Charles Peter Mason. Angular magnitude is a separate product of thought , for which a certain relative position ( not motion ) of two lines is essential . Whatever may be the difficulties or defects of Euclid's " Elements , " it ...
Σελίδα 1
... magnitude . Def . II . A line is that which has length without breadth . Def . V. A superficies , or surface , is that which has length and breadth , but not thickness . The use of these definitions is to caution us that in geometry we ...
... magnitude . Def . II . A line is that which has length without breadth . Def . V. A superficies , or surface , is that which has length and breadth , but not thickness . The use of these definitions is to caution us that in geometry we ...
Σελίδα 3
... magnitude . The size of an angle has nothing to do with the length of the lines by the meeting of which it is formed , nor has it anything to do with the quantity of space which is ( at least partially ) enclosed by these lines ...
... magnitude . The size of an angle has nothing to do with the length of the lines by the meeting of which it is formed , nor has it anything to do with the quantity of space which is ( at least partially ) enclosed by these lines ...
Σελίδα 7
... Magnitudes which are equal to the same , are equal to one another . II . If equals be added to equals , or if equals ... magnitudes be added to the larger of two other unequal magnitudes , and the less to the less , the sum of the two ...
... Magnitudes which are equal to the same , are equal to one another . II . If equals be added to equals , or if equals ... magnitudes be added to the larger of two other unequal magnitudes , and the less to the less , the sum of the two ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B is equal AC and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal sides equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed fourth proposition given finite right given line given point given rectilineal given straight line gnomon Grammar greater half a right hypotenuse interior and opposite isosceles Join the points join two given 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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 7 - Second French Book ; being a Grammar and Exercise Book, on a new and practical plan, and intended as a sequel to the
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.