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 6
... its angles right angles , but has not all its sides equal . 26. A lozenge , or rhombus , is that which has all its sides equal , but its an- gles are not right angles . 7 27. A parallelogram , or rhomboid , is that 6 ELEMENTS.
... its angles right angles , but has not all its sides equal . 26. A lozenge , or rhombus , is that which has all its sides equal , but its an- gles are not right angles . 7 27. A parallelogram , or rhomboid , is that 6 ELEMENTS.
Página 7
... parallelogram , or rhomboid , is that which has its opposite sides pa- rallel , but all its sides are not equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four ...
... parallelogram , or rhomboid , is that which has its opposite sides pa- rallel , but all its sides are not equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four ...
Página 25
... parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its opposite sides parallel . For , having drawn the diagonal BC ; then , the triangles ABC , CBD , being mutually ...
... parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its opposite sides parallel . For , having drawn the diagonal BC ; then , the triangles ABC , CBD , being mutually ...
Página 26
... parallelogram ACDB into two equal parts . COR . 1 . equal . Two parallel lines , included between two other parallels , are COR . 2. If one angle of a parallelogram be a right angle , all the other three will also be right angles , and ...
... parallelogram ACDB into two equal parts . COR . 1 . equal . Two parallel lines , included between two other parallels , are COR . 2. If one angle of a parallelogram be a right angle , all the other three will also be right angles , and ...
Página 27
... parallelogram ABCD is equal to the parallelogram EBCF . PROP . XXX . THEOR . Parallelograms upon equal bases , and between the same parallels , are equivalent to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG ...
... parallelogram ABCD is equal to the parallelogram EBCF . PROP . XXX . THEOR . Parallelograms upon equal bases , and between the same parallels , are equivalent to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG ...
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