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 σελίδες |
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Σελίδα ix
... four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed ...
... four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed ...
Σελίδα 19
... four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines XIX . Of three sided figures , an equilateral triangle is that which has three equal sides . XX . An isosceles triangle is that which ...
... four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines XIX . Of three sided figures , an equilateral triangle is that which has three equal sides . XX . An isosceles triangle is that which ...
Σελίδα 20
... four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII . A rhombus , is that which ...
... four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII . A rhombus , is that which ...
Σελίδα 31
... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior ...
... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior ...
Σελίδα 40
... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH , CHG are by supposition less than two right angles ; therefore the other two , HGL , GHD are greater than two right angles ...
... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH , CHG are by supposition less than two right angles ; therefore the other two , HGL , GHD are greater than two right angles ...
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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