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 sider |
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Resultat 1-5 av 100
Side x
... given figure as a base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( be- cause a solid , whatever be its base , as X PREFACE .
... given figure as a base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( be- cause a solid , whatever be its base , as X PREFACE .
Side xi
... 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 demonstrations is preserved ; and therefore , to ...
... 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 demonstrations is preserved ; and therefore , to ...
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 ...
Side 27
... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point Ď in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE , and upon ...
... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point Ď in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE , and upon ...
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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 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