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 NotesCushing and Jewett, 1822 - 494 sider |
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Resultat 1-5 av 98
Side 20
... less . At either extreme A , of the greater of the given right lines , put AE equal to the less CD [ 2. 1 ] . From the centre A , at the distance AE , describe the cir- cle EFG [ Post . 31 , meeting AB in F. The part AF , cut off from ...
... less . At either extreme A , of the greater of the given right lines , put AE equal to the less CD [ 2. 1 ] . From the centre A , at the distance AE , describe the cir- cle EFG [ Post . 31 , meeting AB in F. The part AF , cut off from ...
Side 30
... less ( AB ) . B D From the greater side AC , take away AD , equal and con- terminous to the less AB [ 3. 1 ] , and join BD . Because the triangle ABD is isosceles , the angles ABD , ADB are equal [ 5. 1 ] ; but the external angle ADB of ...
... less ( AB ) . B D From the greater side AC , take away AD , equal and con- terminous to the less AB [ 3. 1 ] , and join BD . Because the triangle ABD is isosceles , the angles ABD , ADB are equal [ 5. 1 ] ; but the external angle ADB of ...
Side 31
... less than AB , for then the angle B would be less than the angle C [ 18. 1 ] , which is also contrary to the supposition . F ΔΔ Α B D G Cor . 1. - A perpendicular ( CA ) , drawn from any point ( C ) , to any right line ( AB ) , is less ...
... less than AB , for then the angle B would be less than the angle C [ 18. 1 ] , which is also contrary to the supposition . F ΔΔ Α B D G Cor . 1. - A perpendicular ( CA ) , drawn from any point ( C ) , to any right line ( AB ) , is less ...
Side 32
... less angle D [ 19. 1 ] ; but , because AD is equal to AC , BD is equal to BA and AC together [ Ax . 2 ] , therefore BA and AC together are greater than BC . PROP . XXI . THEOR . Two right lines ( DB , DC ) , drawn from any point ( D ) ...
... less angle D [ 19. 1 ] ; but , because AD is equal to AC , BD is equal to BA and AC together [ Ax . 2 ] , therefore BA and AC together are greater than BC . PROP . XXI . THEOR . Two right lines ( DB , DC ) , drawn from any point ( D ) ...
Side 35
... less ( EF ) . A D Д.Д E For if the angle A be not greater than D , iti s either equal to or less than it . The angle A is not equal to D , for , if it were , the sides BA , AC being severally equal to ED , DF , the bases BC , EF would ...
... less ( EF ) . A D Д.Д E For if the angle A be not greater than D , iti s either equal to or less than it . The angle A is not equal to D , for , if it were , the sides BA , AC being severally equal to ED , DF , the bases BC , EF would ...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ... Rev. John Allen Uten tilgangsbegrensning - 1822 |
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
angle ACB arch asymptote bisected centre centripetal force circle circumference conical surface conick section described diameter difference directrix distance draw ellipse ellipse or hyperbola equal angles equal Ax equal Cor equal Hyp equiangular Euclid's Elements focus given right line greater half sum inscribed less let fall magnitudes meeting the section opposite hyperbolas opposite sections ordinately applied parabola parallel parallelogram perpendicular plain principal vertex PROB produced PROP proportional proposition quadrant radius rect rectangle right angles right line drawn Scholium secant section or opposite segments semidiameter severally equal shewn sides sine spherical angle square of CB submultiple tangent THEOR triangle ABC vertex whence
Populære avsnitt
Side 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.
Side 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...
Side 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.
Side 116 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 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.
Side 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.
Side 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...
Side 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...
Side 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.
Side 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...