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 vii
... given , from which the properties of proportiona's can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct . As to the defects , the prolixness and obscurity , that have so ...
... given , from which the properties of proportiona's can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct . As to the defects , the prolixness and obscurity , that have so ...
Side xi
... given figure as a base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( because a solid , whatever be its base , as its height may be indefinitely varied , is capable of all degrees ...
... given figure as a base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( because a solid , whatever be its base , as its height may be indefinitely varied , is capable of all degrees ...
Side xii
... given base a solid of a given magnitude may be constituted , is one of those , by the introduction of which , the Geometry of solids is much shortened , while all the real accuracy of the demon- strations is preserved ; and therefore ...
... given base a solid of a given magnitude may be constituted , is one of those , by the introduction of which , the Geometry of solids is much shortened , while all the real accuracy of the demon- strations is preserved ; and therefore ...
Side 22
... given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the ... given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line ...
... given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the ... given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line ...
Side 23
... given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
... given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two ...
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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