The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα vii
... whole , ad- mitting of being comprehended and mastered without a knowledge of the mode in which the subordinate propositions are to be established . In teaching geometry I attach very great importance to the repetition of the ...
... whole , ad- mitting of being comprehended and mastered without a knowledge of the mode in which the subordinate propositions are to be established . In teaching geometry I attach very great importance to the repetition of the ...
Σελίδα 8
... whole is greater than its part , " need not be set down as a separate proposition , since it is involved in the very import of the words whole and part . That magnitudes which coincide with each other , that is , which fill exactly the ...
... whole is greater than its part , " need not be set down as a separate proposition , since it is involved in the very import of the words whole and part . That magnitudes which coincide with each other , that is , which fill exactly the ...
Σελίδα 9
... whole triangle itself . One unfortunate consequence of this is that beginners often get into confusion , and when they name an angle of a triangle ( that is , the opening formed between two of the sides of the triangle ) , fancy that ...
... whole triangle itself . One unfortunate consequence of this is that beginners often get into confusion , and when they name an angle of a triangle ( that is , the opening formed between two of the sides of the triangle ) , fancy that ...
Σελίδα 15
... be allowed to draw the whole figure to begin with , but should be made to draw it step by step , as directed in the text . This is of vital importance . With the centre B , and at the distance BA EXPLAINED TO BEGINNERS . 15.
... be allowed to draw the whole figure to begin with , but should be made to draw it step by step , as directed in the text . This is of vital importance . With the centre B , and at the distance BA EXPLAINED TO BEGINNERS . 15.
Σελίδα 20
... ( Prop . II . ) With A as centre , and at the distance A E , describe a circle , cutting the line AB in the At this step the whole of the construction given in point F. ( Post . III . ) A F 20 THE FIRST BCOK OF EUCLID 20.
... ( Prop . II . ) With A as centre , and at the distance A E , describe a circle , cutting the line AB in the At this step the whole of the construction given in point F. ( Post . III . ) A F 20 THE FIRST BCOK OF EUCLID 20.
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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 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
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.