## 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 Trigonometry |

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Side ix

The demonstration of the

The demonstration of the

**fourth**proposition is from LEGENDRE'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 ... Side 108

V. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the second and

V. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the second and

**fourth**, and if , according as the multiple of the first is greater than the ... Side 109

When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the

When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the

**fourth**; then the ... Side 110

If four magnitudes are continual proportionals , the ratio of the first to the

If four magnitudes are continual proportionals , the ratio of the first to the

**fourth**is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five ... Side 111

... and as the third is to the

... and as the third is to the

**fourth**of the first rank , so is the third from the last , to the last but two , of the second rank ; and so on in a cross , or inverse , order ; and the inference is as in the 19th definition .### Hva folk mener - Skriv en omtale

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

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 - 1855 |

### Vanlige uttrykk og setninger

ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole