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 TrignonometryBell & Bradfute, 1875 - 257 sider |
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Resultat 1-5 av 42
Side 27
... passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are therefore called the complements ; the complement BK is equal to the comple- ment KD . B E G K F Because ABCD is a parallelogram , and ...
... passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are therefore called the complements ; the complement BK is equal to the comple- ment KD . B E G K F Because ABCD is a parallelogram , and ...
Side 45
... pass through the centre , it will cut that line at right angles ; and , if it cut it at right angles , it will bisect it . Let ABC be a circle , and let CD , a straight line drawn through the centre , bisect any straight line AB , which ...
... pass through the centre , it will cut that line at right angles ; and , if it cut it at right angles , it will bisect it . Let ABC be a circle , and let CD , a straight line drawn through the centre , bisect any straight line AB , which ...
Side 46
... pass through the centre , it must cut it at right ( III . 3 ) angles ; where- fore FEA is a right angle . Again , because the straight line FE bisects the straight line BJ , which does not pass through the centre , it must cut it at ...
... pass through the centre , it must cut it at right ( III . 3 ) angles ; where- fore FEA is a right angle . Again , because the straight line FE bisects the straight line BJ , which does not pass through the centre , it must cut it at ...
Side 47
... passing through the centre is always greater than one more remote from it : and from the same point there can be ... passes through the centre is equal to one more re- mote , which is impossible . Therefore , if any point be taken , & c ...
... passing through the centre is always greater than one more remote from it : and from the same point there can be ... passes through the centre is equal to one more re- mote , which is impossible . Therefore , if any point be taken , & c ...
Side 48
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest , that which is nearer to that through the centre is always greater than the more ...
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest , that which is nearer to that through the centre is always greater than the more ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Ingen forhåndsvisning tilgjengelig - 2021 |
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore