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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 páginas |
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Resultados 6-10 de 53
Página 70
... taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that di- ameter is the least ...
... taken in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that di- ameter is the least ...
Página 71
... taken , & c . Q. E. D. PROP . VIII . THEOR . If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave circumference ...
... taken , & c . Q. E. D. PROP . VIII . THEOR . If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave circumference ...
Página 73
... taken within a circle , from which there fall more than two equal straight lines upon the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which there fall on the ...
... taken within a circle , from which there fall more than two equal straight lines upon the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which there fall on the ...
Página 92
... taken without the circle ABC , and from it let two straight lines DCA and DB be drawn , of which DCA cuts the cir- cle , and DB meets it ; if the rectangle AD.DC , be equal to the square of DB , DB touches the circle . : D Draw ( 17. 3 ...
... taken without the circle ABC , and from it let two straight lines DCA and DB be drawn , of which DCA cuts the cir- cle , and DB meets it ; if the rectangle AD.DC , be equal to the square of DB , DB touches the circle . : D Draw ( 17. 3 ...
Página 101
... taken together , are equal to five times the angle BAD . But the three angles ABD , DB , BAD are equal to two right angles , therefore five times the " angle BAD is equal to two right angles ; or BAD is the fifth part of " two right ...
... taken together , are equal to five times the angle BAD . But the three angles ABD , DB , BAD are equal to two right angles , therefore five times the " angle BAD is equal to two right angles ; or BAD is the fifth part of " two right ...
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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 multiple opposite angle parallel parallelepipeds 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 shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore