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 páginas |
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... greater than the circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed only by approxi- mation , or by finding two rectangles nearly equal to one another , one of them greater ...
... greater than the circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed only by approxi- mation , or by finding two rectangles nearly equal to one another , one of them greater ...
Página xv
... greater than the third , neither could it be true , that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor lastly , that things equal to the same thing are ...
... greater than the third , neither could it be true , that the greater side of every triangle is opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor lastly , that things equal to the same thing are ...
Página 18
... greater than a right angle . IX . An acute angle is that which is less than a right angle . X. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without ...
... greater than a right angle . IX . An acute angle is that which is less than a right angle . X. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without ...
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... greater than its part . X. XI . All right angles are equal to one another . " Two straight lines which intersect one another , cannot be both " parallel to the same straight line . ” PROPOSITION I. PROBLEM . To describe an equilateral ...
... greater than its part . X. XI . All right angles are equal to one another . " Two straight lines which intersect one another , cannot be both " parallel to the same straight line . ” PROPOSITION I. PROBLEM . To describe an equilateral ...
Página 23
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . D F E B From the point A draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the dis- tance AD , describe ( 3. Post ...
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . D F E B From the point A draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the dis- tance AD , describe ( 3. Post ...
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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 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