The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 26
... Zs B A C and B C A are equal to each other , and likewise that the s FAC and LCA are equal to each other . A F D B ... right line F C , and A and L by the right line A L. ( Post . I. ) E The proof of the first part of the proposition ...
... Zs B A C and B C A are equal to each other , and likewise that the s FAC and LCA are equal to each other . A F D B ... right line F C , and A and L by the right line A L. ( Post . I. ) E The proof of the first part of the proposition ...
Σελίδα 35
... Zs ( namely B CD and BD C ) are both equal and unequal at the same time , -which is an impossibility . Now the ... right line D C. Produce the line A D to any point E , and the line A C to any point F. B F E D A If it were possible that ...
... Zs ( namely B CD and BD C ) are both equal and unequal at the same time , -which is an impossibility . Now the ... right line D C. Produce the line A D to any point E , and the line A C to any point F. B F E D A If it were possible that ...
Σελίδα 48
... right s ACE and ECB were before shown to be equal to the sum of the same three s . Therefore , the sum of the 8 A CD and D C B is the same as that of the right s ACE and E CB ; and as all rights are equal ( see p . 13 ) , the sum of the Zs ...
... right s ACE and ECB were before shown to be equal to the sum of the same three s . Therefore , the sum of the 8 A CD and D C B is the same as that of the right s ACE and E CB ; and as all rights are equal ( see p . 13 ) , the sum of the Zs ...
Σελίδα 49
... Zs which it forms with it are together equal to two rights . ( Prop . XIII . ) 2. Quantities that are equal to the same are equal to each other . ( Ax . I. ) 3. If the same quantity be taken away from each of two equal quantities the ...
... Zs which it forms with it are together equal to two rights . ( Prop . XIII . ) 2. Quantities that are equal to the same are equal to each other . ( Ax . I. ) 3. If the same quantity be taken away from each of two equal quantities the ...
Σελίδα 56
... Zs CBD and CBA will be greater than the sum of thes CAB and C B A. But the s CBD and CBA are adjacent ≤s , formed by the straight line CB meeting the straight line A D , and are therefore equal to two rights . Consequently , the ≤s ...
... Zs CBD and CBA will be greater than the sum of thes CAB and C B A. But the s CBD and CBA are adjacent ≤s , formed by the straight line CB meeting the straight line A D , and are therefore equal to two rights . Consequently , the ≤s ...
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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.