The first and second books of Euclid explained to beginners, by C.P. Mason |
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Side 15
... describe the circle C BE . ( Post . III . ) * By speaking of the line as " given , " it is meant that its position is given . By speaking of it as " finite , " it is meant that its length is given . A △ is said to be con- structed on a ...
... describe the circle C BE . ( Post . III . ) * By speaking of the line as " given , " it is meant that its position is given . By speaking of it as " finite , " it is meant that its length is given . A △ is said to be con- structed on a ...
Side 16
... describe the circle ACF . ( Post . III . ) Part of the circle ECB is inside the F circle ACF , and part outside , therefore these circles must intersectin two points . Call these points C and D. Take either of these points ( say C ) ...
... describe the circle ACF . ( Post . III . ) Part of the circle ECB is inside the F circle ACF , and part outside , therefore these circles must intersectin two points . Call these points C and D. Take either of these points ( say C ) ...
Side 17
... describe a circle with a given centre and at a given distance from that centre . ( Post . III . ) 4. On a given finite right line to construct an equilateral . * ( Prop . I. ) In proving that the construction furnishes us with a line ...
... describe a circle with a given centre and at a given distance from that centre . ( Post . III . ) 4. On a given finite right line to construct an equilateral . * ( Prop . I. ) In proving that the construction furnishes us with a line ...
Side 18
... describe B E A a circle . ( Post . III . ) Produce the line DA to meet the circumference of this circle in the point F. ( Post III . ) Then A F will be a line drawn as required . For- The lines DE and DF are equal , being radii of the ...
... describe B E A a circle . ( Post . III . ) Produce the line DA to meet the circumference of this circle in the point F. ( Post III . ) Then A F will be a line drawn as required . For- The lines DE and DF are equal , being radii of the ...
Side 20
... describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which are equal to the same are equal to each other . ( Ax ...
... describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which are equal to the same are equal to each other . ( Ax ...
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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...
Side 7 - Second French Book ; being a Grammar and Exercise Book, on a new and practical plan, and intended as a sequel to the
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.
Side 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.
Side 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.
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.