## 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 |

### Inni boken

Resultat 1-5 av 19

Side 106

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**multiple**of B by m . When the num- " ber is intended to multiply two or more magnitudes that follow , it is “ written thus , m ( A + B ) , which signifies the sum of A and B taken m " times ; m ( A - B ) is m times the excess of A above ... Side 107

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**multiple**of the first is greater than the**multiple**of the second , equal to it , or less , the**multiple**of the third is also greater than the**multiple**of the fourth , equal to it , or less ; then the first of the magnitudes is said to ... Side 109

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**multiples**, are equal to one another . 3. A**multiple**of a greater magnitude is greater than the same**multiple**of a less . 4. That magnitude of which a**multiple**is greater than the same multi- ple of another , is greater than that other ... Side 110

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**multiple**of D + E + F . COR . Hence , if m be any number , mD + mE + mF = m ( D + E + F ) . For mD , mE , and mF are**multiples**of D , E , and F by m , therefore their sum is also a**multiple**of D + E + F by m . PROP . II . THEOR . If to a ... Side 111

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**multiple**of the second , that the**multiple**of the third has to the**multiple**of the fourth . : Let A B C : D , and let m and n be any two numbers ; mA : nB :: mC : nD . Take of mA and mC equimultiples by any number p , and of nB and nD ...### 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