The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 29
... greater than B ( A and B being two magnitudes that admit of comparison ) , it is clear that one or other must be true . If we can show that A is not equal to B , and also that A is not less than B , it follows that A is greater than B ...
... greater than B ( A and B being two magnitudes that admit of comparison ) , it is clear that one or other must be true . If we can show that A is not equal to B , and also that A is not less than B , it follows that A is greater than B ...
Σελίδα 30
... greater of two given lines a part equal to the less . ( Prop . III . ) And we require to know , — 1. That a part of any whole is less than that whole . 2. That if , in two As , two sides of the one are equal to two sides of the other ...
... greater of two given lines a part equal to the less . ( Prop . III . ) And we require to know , — 1. That a part of any whole is less than that whole . 2. That if , in two As , two sides of the one are equal to two sides of the other ...
Σελίδα 35
... therefore the B D C is also less than the F C D , which is equal to ED C. Much more then is the B D C less than the B C D , which is greater than the F C D. But it was before shown that , if we suppose EXPLAINED TO BEGINNERS . 335.
... therefore the B D C is also less than the F C D , which is equal to ED C. Much more then is the B D C less than the B C D , which is greater than the F C D. But it was before shown that , if we suppose EXPLAINED TO BEGINNERS . 335.
Σελίδα 39
... two equal angles . -- that is , For the construction employed in this proposition we require to be able , - 1. To join two given points by a straight line . B 2. From the greater of two given lines to EXPLAINED TO BEGINNERS . ' 39.
... two equal angles . -- that is , For the construction employed in this proposition we require to be able , - 1. To join two given points by a straight line . B 2. From the greater of two given lines to EXPLAINED TO BEGINNERS . ' 39.
Σελίδα 40
Euclid, Charles Peter Mason. B 2. From the greater of two given lines to cut off a part equal to the less . ( Prop . III . ) 3. On a given right line to construct an equilateral A. ( Prop . I. ) To demonstrate that the construction ...
Euclid, Charles Peter Mason. B 2. From the greater of two given lines to cut off a part equal to the less . ( Prop . III . ) 3. On a given right line to construct an equilateral A. ( Prop . I. ) To demonstrate that the construction ...
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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
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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...
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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.
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