## The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth: The Errors by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored ; Also the Book O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |

### Inni boken

Resultat 1-5 av 19

Side 112

... ratio are called proportion- als . N. B. When four magnitudes are proportionals , it is usually expressed by saying ...

... ratio are called proportion- als . N. B. When four magnitudes are proportionals , it is usually expressed by saying ...

**triplicate ratio**of that which it has to the second , and so on , quadruplicate , & c . increasing the denomination ... Side 228

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**triplicate ratio**of their homologous sides . Let AB , CD be similar solid parallelopipeds , and the side AE homologous to the side CF : The solid AB has to the solid CD the**triplicate ratio**of that which AE has to CF. Produce AE , GE ... Side 229

... triplicate ra- tio of that which it has to the second : Therefore the solid AB has to the solid KO , the

... triplicate ra- tio of that which it has to the second : Therefore the solid AB has to the solid KO , the

**triplicate ratio**...**triplicate ratio**of that which AE has to EK . And the solid KO is equal to the solid CD , and the straight line EK ... Side 258

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**triplicate ratio**of that of their ho- mologous sides . Let the pyramids having the triangles ABC , DEF for their bases , and the points G , H for their vertices , be similar , and similarly situated ; the pyramid ABCG has to the pyramid ... Side 259

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**triplicate ratio**of that which their homologous sides have : Therefore the solid BGML has to the solid EHPO the**triplicate ratio**of that which the side BC has to the homologous side EF : But as the solid BGML is to the solid EHPO , so ...### Andre utgaver - Vis alle

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex