## 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 TrigonometryW. E. Dean, 1851 - 317 sider |

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Resultat 1-5 av 58

Side 7

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**ratio**of one quantity to another , is usually denoted by placing one of the two quantities over the other , in the form of a fraction : A B thus , signifies the**ratio**or quotient arising from the division of the quantity A by B. In fact ... Side 106

... greater contains the less a cer- tain number of times exactly . 3.

... greater contains the less a cer- tain number of times exactly . 3.

**Ratio**is a mutual relation of two magnitudes , of the same kind , to one another , in respect of quantity . 4. Magnitudes are said to be of the same kind ELEMENTS ... Side 107

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**ratio**to one another . 5. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first ...**ratio**that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same**ratio**... Side 108

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**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 continual proportionals ; the**ratio**of the first " to ... Side 111

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**ratio**to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever of the second and fourth ; the multiple of the first shall have the same**ratio**to the multiple ...### Andre utgaver - Vis alle

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

### Vanlige uttrykk og setninger

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore