## 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 60

Side 298

...

...

**proposition**is a sufficient vindication of Euclid for having de- monstrated the 21st**proposition**, which some affect to consider as self- evident ; for it proves , that the circumstance on which the truth of that**proposition**depends is ...Side 300

...

...

**proposition**, however , is not self- evident , and ought the less to be received without proof , that , as Pro- clus has observed , the converse of it is a**proposition**that confessedly requires to be demonstrated . For the converse of ...Side 303

...

...

**proposition**, that " if a straight line fall on two parallel " lines , it makes the alternate angles equal , " is easily derived . Let * A. H B C D FH and GE be perpendicular to CD , then they will be parallel to one another , and also ...### 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 - 1837 |

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

### 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