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, 1836 - 311 páginas |
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Página 3
... square root of 5 is indicated √5 ; √ ( A × B ) means the square of the product of A and B , or the mean proportional between them . The roots of quantities are some- times expressed by means of fractional indices : thus , the cube ...
... square root of 5 is indicated √5 ; √ ( A × B ) means the square of the product of A and B , or the mean proportional between them . The roots of quantities are some- times expressed by means of fractional indices : thus , the cube ...
Página 6
... square is that which has all its sides equal and all its angles right angles . 25. An oblong , or rectangle , is that which has all its angles right angles , but has not all its sides equal . 26. A lozenge , or rhombus , is that which ...
... square is that which has all its sides equal and all its angles right angles . 25. An oblong , or rectangle , is that which has all its angles right angles , but has not all its sides equal . 26. A lozenge , or rhombus , is that which ...
Página 7
... square , a triangle to a rectangle . 34. The denomination , equal figures , we shall reserve for such as , when applied to each other , coincide in all their points of this kind are two circles , which have equal radii ; two triangles ...
... square , a triangle to a rectangle . 34. The denomination , equal figures , we shall reserve for such as , when applied to each other , coincide in all their points of this kind are two circles , which have equal radii ; two triangles ...
Página 24
... square . COR . 3. The sum of the angles of a pentagon is equal to two right an- gles multiplied by 5-2 , which amounts to six right angles ; hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right ...
... square . COR . 3. The sum of the angles of a pentagon is equal to two right an- gles multiplied by 5-2 , which amounts to six right angles ; hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right ...
Página 30
... square described upon the side BC is equal to the squares described upon BA , AÇ . On BC describe the square BDEC , and on BA , AC the squares GB , HC ; and through A draw AL parallel to BD or CE , and join AD , FC ; then , because each ...
... square described upon the side BC is equal to the squares described upon BA , AÇ . On BC describe the square BDEC , and on BA , AC the squares GB , HC ; and through A draw AL parallel to BD or CE , and join AD , FC ; then , because each ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal 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 triangle DEF wherefore