## A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for Exercise |

### Inni boken

Resultat 1-5 av 78

Side ix

On the Motion of Sound 679 On the Motions of Bodies accelerated or retarded by the action of constant and uniform

On the Motion of Sound 679 On the Motions of Bodies accelerated or retarded by the action of constant and uniform

**Forces**680 On the Laws of Gravity , and the descent of Heavy Bodies 684 Of the Composition and Resolution of**Forces**687 On ... Side xvi

... in those cases where the reso lution of

... in those cases where the reso lution of

**forces**is necessary , that principle being then entirely unknown . ... and also laid down this general proposition , that mechanical engines make a small**force**equivalent to a great one ... Side xvi

... or at rest ; and he showed , that , if the effect of a

... or at rest ; and he showed , that , if the effect of a

**force**be estimated by the weight it can raise to a given height in a given time , this effect can never be increased by any mechanical contriva ance whatsoever . Side xxi

In the Principia Methematica of Newton , published also in 1687 , the composition of

In the Principia Methematica of Newton , published also in 1687 , the composition of

**forces**was treated independently of the composition of motion , and the equilibrium of the lever was deduced from the former , as well as in the ... Side xxv

... that the rays had been acted on in passing the knife edges both by repulsive and attractive

... that the rays had been acted on in passing the knife edges both by repulsive and attractive

**forces**, and had begun to be so acted on in a sensible degree when they were yet distant by ado of an inch of the edges of the knives .### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Innhold

67 | |

78 | |

85 | |

91 | |

97 | |

108 | |

120 | |

149 | |

159 | |

189 | |

344 | |

361 | |

397 | |

404 | |

410 | |

418 | |

426 | |

549 | |

564 | |

577 | |

591 | |

607 | |

651 | |

663 | |

673 | |

718 | |

729 | |

741 | |

778 | |

790 | |

3 | |

5 | |

12 | |

### Vanlige uttrykk og setninger

ABCD altitude axis base body called centre circle circumference common cone consequently contained curve cylinder described diameter difference direction distance divided draw drawn equal equation example expression fall feet figure fluxion force four give given greater half Hence inches integral join length less logarithm magnitudes manner means measure meet method motion multiplied opposite original parallel parallelogram pass perpendicular plane pole Prob Problem produced projection PROP proportional pyramid quantity radius ratio rays rectangle Reduce remaining represent right angles root rule sides similar sine solid space sphere square straight line suppose surface taken tang tangent Theorem third triangle vanishing weight whence Wherefore whole

### Populære avsnitt

Side 174 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...

Side 193 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.

Side 192 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.

Side 198 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Side 194 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

Side 179 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.

Side 211 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...

Side 286 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.

Side 288 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...

Side 181 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.