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 |
Dentro del libro
Resultados 11-15 de 20
Página 282
... coincides with the cor . to the 20th ; and the latter with the 22d . To apply the foregoing general proposition , to resolve any case of a right angled spherical triangle , consider which of the three quanti- ties named ( the two things ...
... coincides with the cor . to the 20th ; and the latter with the 22d . To apply the foregoing general proposition , to resolve any case of a right angled spherical triangle , consider which of the three quanti- ties named ( the two things ...
Página 292
... coincide in two points , without coinciding altogether , each of them is call- ed a straight line . This definition was otherwise expressed in the two former editions : it was said , that lines are straight lines which cannot coincide ...
... coincide in two points , without coinciding altogether , each of them is call- ed a straight line . This definition was otherwise expressed in the two former editions : it was said , that lines are straight lines which cannot coincide ...
Página 294
... coincide , To this some objections have been made , as if it were ungeometrical to suppose one figure to be removed from its place and applied to another figure . " The laying , " says Mr. Thomas Simson in his Elements , " of one figure ...
... coincide , To this some objections have been made , as if it were ungeometrical to suppose one figure to be removed from its place and applied to another figure . " The laying , " says Mr. Thomas Simson in his Elements , " of one figure ...
Página 295
... coincide with the triangle ABC , it is evi- dent that the proposition is true , for it is equal to DEF by hypothesis , and to ABC , because it coincides with it ; wherefore ABC , DEF are equal to one another . But if it does not coincide ...
... coincide with the triangle ABC , it is evi- dent that the proposition is true , for it is equal to DEF by hypothesis , and to ABC , because it coincides with it ; wherefore ABC , DEF are equal to one another . But if it does not coincide ...
Página 308
... coincide with a part of the line AB . Let it next be carried along AB till it come into the position BG , and by turning about B , let it describe the an- gle GBC , so as to coincide with a part of BC . Lastly , Let it be carried along ...
... coincide with a part of the line AB . Let it next be carried along AB till it come into the position BG , and by turning about B , let it describe the an- gle GBC , so as to coincide with a part of BC . Lastly , Let it be carried along ...
Otras ediciones - Ver todas
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