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 sider |
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Side ix
... propositions also have been added ; but , for a fuller detail concerning these changes , I must refer to the Notes , in which several of the more difficult , or more interesting subjects of Elementary Geometry are treated at ...
... propositions also have been added ; but , for a fuller detail concerning these changes , I must refer to the Notes , in which several of the more difficult , or more interesting subjects of Elementary Geometry are treated at ...
Side x
... proposition is from LEGENDRE's Ele- ments of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -a problem which , though in itself extremely simple , has been ...
... proposition is from LEGENDRE's Ele- ments of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -a problem which , though in itself extremely simple , has been ...
Side xiii
... proposition that may not improperly be considered as terminating the elemen- tary part of Geometry . The Book of the Data has been annexed to several editions of Eu- CLID'S Elements , and particularly to Dr. SIMSON's , but in this it is ...
... proposition that may not improperly be considered as terminating the elemen- tary part of Geometry . The Book of the Data has been annexed to several editions of Eu- CLID'S Elements , and particularly to Dr. SIMSON's , but in this it is ...
Side xiv
... propositions , which every body is ready to admit , without any demonstration , and that thus they take up the time ... proposition , but to shew its necessary connexion with other propositions , and its dependence on them . The truths ...
... propositions , which every body is ready to admit , without any demonstration , and that thus they take up the time ... proposition , but to shew its necessary connexion with other propositions , and its dependence on them . The truths ...
Side xv
... proposition with others , and ascertaining its place in the general system of Mathe- matical truth . If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it ...
... proposition with others , and ascertaining its place in the general system of Mathe- matical truth . If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it ...
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Vanlige uttrykk og setninger
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