## 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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |

### Inni boken

Resultat 1-5 av 94

Side vii

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**demonstrating**more easily some of the properties of parallel lines . In the third Book , the remarks con- cerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has ... Side ix

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**demonstration**of the fourth proposition is from LE- GENDRE'S Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , —a problem which , though in itself ... Side x

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**demonstration**, EUCLID has thought it proper , as much as possible , to observe . The rule referred to , is one which influences the arrangement of his propositions through the whole of the Elements , viz . That in the**demonstration**of ... Side xiii

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**demonstration**is added of those properties of the sines and cosines of arches , which are the ounda- tion of those applications of Trigonometry lately in- troduced , with so much advantage , into the higher Geometry . In the Spherical ... Side xiv

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**demonstration**, and that thus they take up the time , and fatigue the attention of the student , to no purpose . To this objection , if there be any force in it , the present treatise is cer- tainly as much exposed as any other ; for no ...### Andre utgaver - Vis alle

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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 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 parallelepipeds 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 shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore