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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 sider |
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Resultat 1-3 av 59
Side 34
... given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( Prob . 1. ) upon it an equilateral ... draw a straight 34 ELEMENTS.
... given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( Prob . 1. ) upon it an equilateral ... draw a straight 34 ELEMENTS.
Side 38
... given angle were right , although two triangles would be formed , yet , as ... straight line BC in two points C ' and C , lying on the same side of B ... line BC , a right angled triangle would be formed . And the problem would be ...
... given angle were right , although two triangles would be formed , yet , as ... straight line BC in two points C ' and C , lying on the same side of B ... line BC , a right angled triangle would be formed . And the problem would be ...
Side 138
... a given straight line , the greatest is the square which is described on half the line . Let AB be a given straight line , which is bisected in C ; and let D be any point in it , the square on AC is greater than the rectangle AD , DB ...
... a given straight line , the greatest is the square which is described on half the line . Let AB be a given straight line , which is bisected in C ; and let D be any point in it , the square on AC is greater than the rectangle AD , DB ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC wherefore