## Euclid's Elements of Geometry: The Six First Books. To which are Added, Elements of Plain and Spherical Trigonometry, a System of Conick Sections, Elements of Natural Philosophy, as Far as it Relates to Astronomy, According to the Newtonian System, and Elements of Astronomy: with Notes |

### From inside the book

Page 8

... performs the office of a most correct and unerring chronometer ; can man , who is so curious to pry into the springs and causes of

... performs the office of a most correct and unerring chronometer ; can man , who is so curious to pry into the springs and causes of

**motion**of inferior machines of human construction , not wish to discover the causes of the**motions**of ... Page 439

... to explain the

... to explain the

**motions**of the heavenly bodies , and the laws by which these**motions**are regulated , deduced from the laws of**motion**; yet it seems not unimportant , previously to mention some of the principal axioms of philosophy ... Page 440

... evident danger of being led into errors ; and as the object of research in these elements , is the system of the world , and to investigate the causes , from whence

... evident danger of being led into errors ; and as the object of research in these elements , is the system of the world , and to investigate the causes , from whence

**motions**so accurate and beneficial are produced ; it 440 ELEMENTS OT. Page 441

whence

whence

**motions**so accurate and beneficial are produced ; it seems proper to mentiou previously , some of the ... The two first laws being applicable to the moon's**motion**round the earth , and all three to the**motion**of Jupiter and ... Page 442

The force of inertness , or tis inertiæ , or vis insita of matter , is the power of resisting , by which every body , as much as is in it , perseveres in its state of rest , or of uniform

The force of inertness , or tis inertiæ , or vis insita of matter , is the power of resisting , by which every body , as much as is in it , perseveres in its state of rest , or of uniform

**motion**in a right line .### What people are saying - Write a review

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Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen No preview available - 2015 |

Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen No preview available - 2017 |

### Common terms and phrases

adding applied arch axis base bisected body centre circle circumference common compounded conick section Constr contained contrary course described diameter difference directrix distance double draw drawn ellipse equal equal angles equiangular extremes figure focus force formed four given greater half hyperbola inscribed join less let fall magnitudes manner meet motion opposite ordinate parabola parallel parallelogram parameter passing perpendicular plain principal produced PROP proportional proposition proved radius ratio rectangle remaining right angles right line secant segments shewn sides similar sine square taken tangent THEOR third touching triangle triangle ABC unequal vertex whence whole

### Popular passages

Page 40 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 430 - Lastly, if it universally appears, by experiments and astronomical observations, that all bodies about the earth gravitate towards the earth, and that in proportion to the quantity of matter which they severally contain: that the moon likewise, according to the quantity of its matter, gravitates towards the earth; that, on the other hand, our sea gravitates towards the moon; and all the planets mutually one towards another; and the comets in like manner towards the sun...

Page 13 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 116 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.

Page 432 - A stone, whirled about in a sling, endeavors to recede from the hand that turns it; and by that endeavor, distends the sling, and that with so much the greater force, as it is revolved with the greater velocity, and as soon as it is let go, flies away.

Page 376 - ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.

Page 461 - In a parabola, the velocity of a body at any distance from the focus is to the velocity of a body revolving in a circle, at the same distance...

Page 436 - Whatever draws or presses another is as much drawn or pressed by that other. If you press a stone with your finger, the finger is also pressed by the stone. If a horse draws a stone tied to a rope, the horse (if I may so say...

Page 127 - D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last.

Page 106 - A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle. 5. In like manner, a circle is said to be inscribed...