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 σελίδες |
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Σελίδα 70
... centre . Let the two circles ABC , CDG cut one another in the points B , they have not the same centre . C ; For , if it be possible , let É be their centre : join EC , and draw any straight line EFG meeting the circles in F and G : and ...
... centre . Let the two circles ABC , CDG cut one another in the points B , they have not the same centre . C ; For , if it be possible , let É be their centre : join EC , and draw any straight line EFG meeting the circles in F and G : and ...
Σελίδα 73
... centre of the circle . Let the point D be taken within the circle ABC , from which there fall on the circumference more than two equal straight lines , viz . DA , DB , DC , the point D is the centre of the circle . F DE For , if not ...
... centre of the circle . Let the point D be taken within the circle ABC , from which there fall on the circumference more than two equal straight lines , viz . DA , DB , DC , the point D is the centre of the circle . F DE For , if not ...
Σελίδα 76
... centre at right an- gles , it also bisects ( 3. 3. ) it : Where- fore AF is equal to FB , and AB double of AF . For ... centre when the perpendiculars drawn to them from the centre are equal ( 3. Defi 3. ) : Therefore AB , CD are equally ...
... centre at right an- gles , it also bisects ( 3. 3. ) it : Where- fore AF is equal to FB , and AB double of AF . For ... centre when the perpendiculars drawn to them from the centre are equal ( 3. Defi 3. ) : Therefore AB , CD are equally ...
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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 PROB 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