The first and second books of Euclid explained to beginners, by C.P. Mason |
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Side 45
... rights are equal ; a proposition for the proof of which the truth of this very axiom is assumed ( see p . 12 ) , and ... right lines cannot have a com- mon segment , there would be no ground for ... Z. ( Prop . EXPLAINED TO BEGINNERS . 45.
... rights are equal ; a proposition for the proof of which the truth of this very axiom is assumed ( see p . 12 ) , and ... right lines cannot have a com- mon segment , there would be no ground for ... Z. ( Prop . EXPLAINED TO BEGINNERS . 45.
Side 46
Euclid, Charles Peter Mason. 3. To bisect a given rectilineal Z. ( Prop . IX . ) To prove that the construction ... right lines F D and F E. From the point F draw the right line FL , bisecting the △ D F E , and meeting the line D E ...
Euclid, Charles Peter Mason. 3. To bisect a given rectilineal Z. ( Prop . IX . ) To prove that the construction ... right lines F D and F E. From the point F draw the right line FL , bisecting the △ D F E , and meeting the line D E ...
Side 61
... right line D B. In the △ D C B the sides DC and C B are equal . It follows , therefore ( according to the fifth pro ... Z , namely ABD , is greater than another , namely A D B. Therefore ( as was proved in the nineteenth pro- position ) ...
... right line D B. In the △ D C B the sides DC and C B are equal . It follows , therefore ( according to the fifth pro ... Z , namely ABD , is greater than another , namely A D B. Therefore ( as was proved in the nineteenth pro- position ) ...
Side 98
... Z , each of the 由 of an isosceles is a right s at the base is half a right - 7. The sum of all the internal 8 of any recti- linear figure , together with four rights , is equal to twice as many rights as the figure has sides . Let ...
... Z , each of the 由 of an isosceles is a right s at the base is half a right - 7. The sum of all the internal 8 of any recti- linear figure , together with four rights , is equal to twice as many rights as the figure has sides . Let ...
Side 123
... Z , F , NMH in the parallelogram HMNK , which is not equal to the given F. The figure L GOP will be the ... rights . ( Prop . XXIX . ) * This may always be accomplished by one or other of the various constructions by which the problem ...
... Z , F , NMH in the parallelogram HMNK , which is not equal to the given F. The figure L GOP will be the ... rights . ( Prop . XXIX . ) * This may always be accomplished by one or other of the various constructions by which the problem ...
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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...
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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.
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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.