Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryCollins & Hannay, 1860 - 333 sider |
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Resultat 1-3 av 95
Side 37
... equal to the two sides DE , DF , each to each , viz . AB equal to DE , and AC to DF : but let the base CB be greater than the base EF , the angle BAC is likewise greater than the ... angles to the other angles OF GEOMETRY . BOOK 1 . 37.
... equal to the two sides DE , DF , each to each , viz . AB equal to DE , and AC to DF : but let the base CB be greater than the base EF , the angle BAC is likewise greater than the ... angles to the other angles OF GEOMETRY . BOOK 1 . 37.
Side 38
... angles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE , but DFE is , by the hypothesis , equal to the angle BCA ; wherefore also the angle BCG is equal to the ...
... angles to the other angles , each to each , to which the equal sides are opposite ; therefore the angle GCB is equal to the angle DFE , but DFE is , by the hypothesis , equal to the angle BCA ; wherefore also the angle BCG is equal to the ...
Side 130
... equal to the an- gle ABC , and the angle EFG equal to BCA , wherefore the re- maining angle BAC is equal to the ... angles proportionals ( 4.6 . ) . B A D E F CG Wherefore , AB : BC :: GE : EF ; but by supposition , AB : BC :: DE : EF , ...
... equal to the an- gle ABC , and the angle EFG equal to BCA , wherefore the re- maining angle BAC is equal to the ... angles proportionals ( 4.6 . ) . B A D E F CG Wherefore , AB : BC :: GE : EF ; but by supposition , AB : BC :: DE : EF , ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |
Elements of Geometry: Containing the First Six Books of Euclid : with a ... John Playfair Uten tilgangsbegrensning - 1837 |
Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism produced proportionals proposition Q. E. D. Cor Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore