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
... proportional between them . The roots of quantities are some- times expressed by means of fractional indices : thus , the cube root of AXBXC may be expressed by so on . AXBXC , or ( A × B × C ) , and 28. Numbers in a parenthesis , such ...
... proportional between them . The roots of quantities are some- times expressed by means of fractional indices : thus , the cube root of AXBXC may be expressed by so on . AXBXC , or ( A × B × C ) , and 28. Numbers in a parenthesis , such ...
Página 4
... proportional : thus , if - A с B Ꭰ ; then , A is to B as C to D. And the abbreviations of the proportion is , A : B :: C : D ; it is sometimes written A : B = C : D. DEFINITIONS . 1. " A POINT is that which has position , but not ...
... proportional : thus , if - A с B Ꭰ ; then , A is to B as C to D. And the abbreviations of the proportion is , A : B :: C : D ; it is sometimes written A : B = C : D. DEFINITIONS . 1. " A POINT is that which has position , but not ...
Página 101
... proportional between the other two . 10. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio compounded of the ratio which the first has to the second , and of the ratio which the ...
... proportional between the other two . 10. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio compounded of the ratio which the first has to the second , and of the ratio which the ...
Página 115
... proportional to two sides of another , when one of the sides of the first is to one of the sides of the second , as the remaining side of the second is to the re- maining side of the first . 3. A straight line is said to be cut in ...
... proportional to two sides of another , when one of the sides of the first is to one of the sides of the second , as the remaining side of the second is to the re- maining side of the first . 3. A straight line is said to be cut in ...
Página 117
... proportionally : And if the sides , or the sides produced , be cut proportionally , the straight line which joins the points of section will be parallel to the remaining side of the tri- angle . Let DE be drawn parallel to BC , one of ...
... proportionally : And if the sides , or the sides produced , be cut proportionally , the straight line which joins the points of section will be parallel to the remaining side of the tri- angle . Let DE be drawn parallel to BC , one of ...
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