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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Side ix
... given other demonstrations , which were used by Tacquet ; of which the three first are said to be from Campanus , the rest from Mau- rolycus . In the fifth book of Euclid's Elements , proportional magni- tudes are defined by ...
... given other demonstrations , which were used by Tacquet ; of which the three first are said to be from Campanus , the rest from Mau- rolycus . In the fifth book of Euclid's Elements , proportional magni- tudes are defined by ...
Side 19
... given right finite line ( AB ) , to make an equilateral triangle . From the centre A , at the dis- tance AB ... given right line [ Post . 1 ] . The triangle ABE , which is constituted on the given right line AB , is equilateral . For AE ...
... given right finite line ( AB ) , to make an equilateral triangle . From the centre A , at the dis- tance AB ... given right line [ Post . 1 ] . The triangle ABE , which is constituted on the given right line AB , is equilateral . For AE ...
Side 20
... given right line BC . For DH and DE are equal , being radiuses of the same circle EGH [ Def . 10 ] ; taking from ... given point A , a right line AH , equal to the given right line BC . Scholium . The position of the right line AH is ...
... given right line BC . For DH and DE are equal , being radiuses of the same circle EGH [ Def . 10 ] ; taking from ... given point A , a right line AH , equal to the given right line BC . Scholium . The position of the right line AH is ...
Side 24
... given rectili- lineal angle ( BAC ) . Take any point D in AB , and , on AC , take AE equal to AD [ 3. 1 ] ; draw DE , on which make the equilateral triangle DFE [ 1. 1 ] ; draw AF , which bisects the given angle BAČ . For , in the ...
... given rectili- lineal angle ( BAC ) . Take any point D in AB , and , on AC , take AE equal to AD [ 3. 1 ] ; draw DE , on which make the equilateral triangle DFE [ 1. 1 ] ; draw AF , which bisects the given angle BAČ . For , in the ...
Side 25
... given right line ( AB ) , from a given point ( C ) therein . Take any point D in AC , on CB take CE equal to CD [ 3. 1 ] , and on DE make the equilateral triangle DFE [ 1. 1 ] ; draw CF , which is perpendicular to AB . For , in the ...
... given right line ( AB ) , from a given point ( C ) therein . Take any point D in AC , on CB take CE equal to CD [ 3. 1 ] , and on DE make the equilateral triangle DFE [ 1. 1 ] ; draw CF , which is perpendicular to AB . For , in the ...
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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...