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 2
... draw one line perpendicular to another ; or to divide a line into two equal parts . A 9. Solution of a problem is the ... drawn immediately from some proposition or other premises . 12. A Scholium is a remark or observation made on some ...
... draw one line perpendicular to another ; or to divide a line into two equal parts . A 9. Solution of a problem is the ... drawn immediately from some proposition or other premises . 12. A Scholium is a remark or observation made on some ...
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... drawn from a certain point within the figure to the circumference , are equal to one another . 12. And this point is called the centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and ...
... drawn from a certain point within the figure to the circumference , are equal to one another . 12. And this point is called the centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and ...
Página 16
... drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle . Let the two straight lines BD , CD be drawn from B , C , the ends of ...
... drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle . Let the two straight lines BD , CD be drawn from B , C , the ends of ...
Página 18
... drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the same point on different sides of the perpendicular , cutting off equal distances on the other line , will be equal ; and any ...
... drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the same point on different sides of the perpendicular , cutting off equal distances on the other line , will be equal ; and any ...
Página 20
... drawn making the angle KGH equal to GHD , and produce KG to L ; then KL will be parallel to CD ( 19. 1. ) ; but AB is also parallel to CD ; therefore two straight lines are drawn through the same point G , parallel to CD , and yet not ...
... drawn making the angle KGH equal to GHD , and produce KG to L ; then KL will be parallel to CD ( 19. 1. ) ; but AB is also parallel to CD ; therefore two straight lines are drawn through the same point G , parallel to CD , and yet not ...
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