## 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, 1851 - 317 sider |

### Inni boken

Resultat 1-5 av 21

Side 61

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**chord**or subtense of an arc is the straight line which joins its two ex- tremities . C. 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 ... Side 62

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**chords**or arcs which their sides include . 8. 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 . 9. Similar segments of a circle , are those in ... Side 64

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**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 ... Side 71

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**chord**is , the farther it is from the centre ; and , conversely , the farther the**chord**is from the centre , the shorter it is . PROP . XVI . THEOR . The straight line drawn at right angles to the diameter of a circle , from the ... Side 86

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**chord**is a diameter , is a semicircum- ference , and the included segment is a semicircle . PROP . B. THEOR . Through three given points which are not in the same straight line , one cir- cumference of a circle may be made to pass , and ...### Andre utgaver - Vis alle

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### Vanlige uttrykk og setninger

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore