## 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 TrigonometryCollins & Hannay, 1860 - 333 sider |

### Inni boken

Resultat 1-3 av 12

Side 251

...

...

**solid angle**at D is contained by three plane angles ADB , ADC , BDC ; any two of which , ADB , BDC are greater ( 20. 2. Sup . ) D than the third ADC ; and therefore any two of the arches AB , AC , BC , which measure these angles , as AB ...Side 323

... angles , by which they are con- tained . One of the most remarkable of those relations is that which is demonstrated in the 21st of this Book , and which is , that all the plane angles which contain any

... angles , by which they are con- tained . One of the most remarkable of those relations is that which is demonstrated in the 21st of this Book , and which is , that all the plane angles which contain any

**solid angle**must together be less ...Side 330

...

...

**solid**figures , each of which is contained by six triangles , one of B E D C F them by three triangles , the common vertex of which is the point & , and their bases the straight lines AB , BC , CA and by three other tri-**angles**the ...### Andre utgaver - Vis alle

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |

### Vanlige uttrykk og setninger

ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore