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 pagine |
Dall'interno del libro
Risultati 1-5 di 7
Pagina 147
... cylinder is the fixed straight line about which the parallelogram revolves . XVI . The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram . XVII . Similar cones and cylinders are those ...
... cylinder is the fixed straight line about which the parallelogram revolves . XVI . The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram . XVII . Similar cones and cylinders are those ...
Pagina 161
... cylinder , a straight line be drawn perpendicular to the plane of the base , it will be wholly in the cylindric superficies . Let ABCD be a cylinder , of which the base is the circle AEB , DFC the circle opposite to the base , and GH ...
... cylinder , a straight line be drawn perpendicular to the plane of the base , it will be wholly in the cylindric superficies . Let ABCD be a cylinder , of which the base is the circle AEB , DFC the circle opposite to the base , and GH ...
Pagina 162
... cylinder , for it describes that superficies ; therefore EF is also in the superficies of the cylinder . Therefore , & c . Q. E. D. PROP . XVII . THEOR . A cylinder and a parallelepiped having equal bases and alti- tudes , are equal to ...
... cylinder , for it describes that superficies ; therefore EF is also in the superficies of the cylinder . Therefore , & c . Q. E. D. PROP . XVII . THEOR . A cylinder and a parallelepiped having equal bases and alti- tudes , are equal to ...
Pagina 163
... cylinder , because it is within it ( III . Sup . 16 ) ; and if through the point R a plane RS parallel to NF be made ... cylinder ABCD , and the cylinder ABCD is equal to the parallelepiped EQ , by hypothesis ; therefore ES is less than ...
... cylinder , because it is within it ( III . Sup . 16 ) ; and if through the point R a plane RS parallel to NF be made ... cylinder ABCD , and the cylinder ABCD is equal to the parallelepiped EQ , by hypothesis ; therefore ES is less than ...
Pagina 164
... cylinder BFKG ; therefore it is equal to the third part of that cylinder . Q. E. D. PROP . XIX . THEOR . If a hemisphere and a cone have equal bases and altitudes , a series of cylinders may be inscribed in the hemisphere , and an ...
... cylinder BFKG ; therefore it is equal to the third part of that cylinder . Q. E. D. PROP . XIX . THEOR . If a hemisphere and a cone have equal bases and altitudes , a series of cylinders may be inscribed in the hemisphere , and an ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 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