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 55
... chord or subtense of an arc is the straight line which joins its two ex- tremities . 7. A straight line is said to be inscribed in a circle , when the extremities of it are in the circumference of the circle . And any straight line ...
... chord or subtense of an arc is the straight line which joins its two ex- tremities . 7. A straight line is said to be inscribed in a circle , when the extremities of it are in the circumference of the circle . And any straight line ...
Página 56
... chords or arcs which their sides include . 11. The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arc of the circumference between them . 12. Similar segments of a ... chord is 56 ELEMENTS.
... chords or arcs which their sides include . 11. The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arc of the circumference between them . 12. Similar segments of a ... chord is 56 ELEMENTS.
Página 57
... chord is a diameter , is a semi - circum- ference , and the included segment is a semi - circle . PROP . II . THEOR . If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the ...
... chord is a diameter , is a semi - circum- ference , and the included segment is a semi - circle . PROP . II . THEOR . If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the ...
Página 58
... chord , passes through the centre ; for this perpendicular is the same as the one let fall from the centre on the same chord , since both of them passes through the middle of the chord . COR . 2. It likewise follows , that the ...
... chord , passes through the centre ; for this perpendicular is the same as the one let fall from the centre on the same chord , since both of them passes through the middle of the chord . COR . 2. It likewise follows , that the ...
Página 62
... chord AB , and at the same time in the perpendicular EF A F 12 bisecting the chord BC ( Cor . 1. Th . 3. 3. ) , must be at the intersection of these perpendiculars ; so that , as there is but one centre , there can be but one ...
... chord AB , and at the same time in the perpendicular EF A F 12 bisecting the chord BC ( Cor . 1. Th . 3. 3. ) , must be at the intersection of these perpendiculars ; so that , as there is but one centre , there can be but one ...
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
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 |