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 TrigonometryW.E. Dean, 1839 - 318 páginas |
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Página v
... passing through the hands of the ancient editors , dur- ing the decline of science , had suffered some diminution of their excellence , and much skill and learning have been employed by the modern mathematicians to deliver them from ...
... passing through the hands of the ancient editors , dur- ing the decline of science , had suffered some diminution of their excellence , and much skill and learning have been employed by the modern mathematicians to deliver them from ...
Página 48
... passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are there- fore called the complements : The- complement BK is equal to the com- plement KD . E Because ABCD is a parallelogram and AC its ...
... passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are there- fore called the complements : The- complement BK is equal to the com- plement KD . E Because ABCD is a parallelogram and AC its ...
Página 68
... 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 ...
Página 69
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the cen- tre : AC , BD do not bisect one another ...
... pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the cen- tre : AC , BD do not bisect one another ...
Página 70
... passing through the centre is always greater than one more remote from it : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a ...
... passing through the centre is always greater than one more remote from it : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a ...
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Términos y frases comunes
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 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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore