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 |
Dentro del libro
Resultados 1-5 de 38
Página 33
... construction , each of the halves BAF , CAF , may be divid- ed into two equal parts ; and thus , by successive subdivisions , a given an- gle may be divided into four equal parts , into eight , into sixteen , and so on . PROP . V. PROB ...
... construction , each of the halves BAF , CAF , may be divid- ed into two equal parts ; and thus , by successive subdivisions , a given an- gle may be divided into four equal parts , into eight , into sixteen , and so on . PROP . V. PROB ...
Página 38
... construction will apply : for , mak- ing BCA equal to the given angle , and AC equal to the adjacent side ; then , from A as centre , with a radius equal to the other given side , describe an arc , cutting CB in B ; draw AB , and CAB ...
... construction will apply : for , mak- ing BCA equal to the given angle , and AC equal to the adjacent side ; then , from A as centre , with a radius equal to the other given side , describe an arc , cutting CB in B ; draw AB , and CAB ...
Página 39
... construction will apply to the problem : to make a triangle equivalent to a given rectangle . PROP . XV . PROB . To a given straight line to apply a parallelogram , which shall be equivalent to a given triangle , and have one of its ...
... construction will apply to the problem : to make a triangle equivalent to a given rectangle . PROP . XV . PROB . To a given straight line to apply a parallelogram , which shall be equivalent to a given triangle , and have one of its ...
Página 42
... sum of any number of squares ; for a similar construction which reduces two of them to one , will reduce three of them to two , and these two to one , and so of others . PROP . XX . PROB . To find the side 42 ELEMENTS.
... sum of any number of squares ; for a similar construction which reduces two of them to one , will reduce three of them to two , and these two to one , and so of others . PROP . XX . PROB . To find the side 42 ELEMENTS.
Página 58
... construction being made , because the radii EA , EB are equal to one another , the angle EAF is equal ( 3. 1. ) to the angle EBF ; and the right angle AFE is equal to the right angle BFE : Therefore , in the two triangles EAF , EBF ...
... construction being made , because the radii EA , EB are equal to one another , the angle EAF is equal ( 3. 1. ) to the angle EBF ; and the right angle AFE is equal to the right angle BFE : Therefore , in the two triangles EAF , EBF ...
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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 |