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 5
... adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a perpendicu- lar to it . 8. An obtuse angle is that which is greater than a right angle . 9 ...
... adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a perpendicu- lar to it . 8. An obtuse angle is that which is greater than a right angle . 9 ...
Página 7
... angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent ...
... angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two angles not adjacent ...
Página 12
... angles DBA and ABC is equal to two right angles . COR . The sum of all the angles , formed on the same side of a straight line DC , is equal to two right angles ; because their sum is equal to that of the two adjacent angles DBA , ABC ...
... angles DBA and ABC is equal to two right angles . COR . The sum of all the angles , formed on the same side of a straight line DC , is equal to two right angles ; because their sum is equal to that of the two adjacent angles DBA , ABC ...
Página 18
... angles ABC , ABE , and the contained angles ABC and ABE equal ; the two triangles must be equal ( Th . 1. ) ; hence AE , AC are equal . D C B E Finally , the angle ACB being acute , as before , the adjacent angle ACD will be obtuse ...
... angles ABC , ABE , and the contained angles ABC and ABE equal ; the two triangles must be equal ( Th . 1. ) ; hence AE , AC are equal . D C B E Finally , the angle ACB being acute , as before , the adjacent angle ACD will be obtuse ...
Página 24
... angles as the figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC , with its adjacent exterior ABD , is equal ( 6. 1 ...
... angles as the figure has sides , wanting four . COR . 1. All the exterior angles of any rectilineal figure are together equal to four right angles . Because every interior an- gle ABC , with its adjacent exterior ABD , is equal ( 6. 1 ...
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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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |