Philosophical Transactions and Collections, to the End of the Year 1700, Τόμος 4 |
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Σελίδα 3
... latus rectum to the Diameter PC ; PG a Perpendi- ci by Mr. Ab . cular to the Tangent ; let HG , perpendicular to P CH , meet this in the de Moivre , n . Point G , fo that PG may be the Radius of Curvature of the Ellipfis in the Point P ...
... latus rectum to the Diameter PC ; PG a Perpendi- ci by Mr. Ab . cular to the Tangent ; let HG , perpendicular to P CH , meet this in the de Moivre , n . Point G , fo that PG may be the Radius of Curvature of the Ellipfis in the Point P ...
Σελίδα 4
... latus rectum PH to PG ; that is , by Property 3 aforegoing , CDX CO CKq PH is to CR is to PC , as CK PC Whence this Analogy CDxCO.CKq : CK.PG. GENERAL THEOREM 1. ] The Centripetal Force tending to the fame . Point S , in all Curves is ...
... latus rectum PH to PG ; that is , by Property 3 aforegoing , CDX CO CKq PH is to CR is to PC , as CK PC Whence this Analogy CDxCO.CKq : CK.PG. GENERAL THEOREM 1. ] The Centripetal Force tending to the fame . Point S , in all Curves is ...
Σελίδα 36
... latus rectum of the Parabola . whence s = W a wz Then 2 as w2 , or s = 2 a a- ww , and s2 = a - 2 w2 2 , and therefore y = √ a2 w2 w2 + 2 m w ż + 2 m w ż — m2 x2 . That the Fluent of this may be found , affume m z = 2 √3a2 w2 w2 ...
... latus rectum of the Parabola . whence s = W a wz Then 2 as w2 , or s = 2 a a- ww , and s2 = a - 2 w2 2 , and therefore y = √ a2 w2 w2 + 2 m w ż + 2 m w ż — m2 x2 . That the Fluent of this may be found , affume m z = 2 √3a2 w2 w2 ...
Σελίδα 74
... Latus rectum of the Para- bola to the Diameter AM , and let the fame be Unity . In AL , pro- duced both Ways if neceffary , take AG = r , and from G draw G R pa- rallel to the Axis , fo that it may cut the Parabola in B , from whence ...
... Latus rectum of the Para- bola to the Diameter AM , and let the fame be Unity . In AL , pro- duced both Ways if neceffary , take AG = r , and from G draw G R pa- rallel to the Axis , fo that it may cut the Parabola in B , from whence ...
Σελίδα 360
... Latus Rectum L. Moreover because of KA parallel to SP , ' tis Ang . ASP KAL = TOA , because the Angle TAO is the Complement of each to a right Angle . Wherefore KA , AL :: SA . SP , whence SP = L SA 2 × KA ' and KA Again , because of ...
... Latus Rectum L. Moreover because of KA parallel to SP , ' tis Ang . ASP KAL = TOA , because the Angle TAO is the Complement of each to a right Angle . Wherefore KA , AL :: SA . SP , whence SP = L SA 2 × KA ' and KA Again , because of ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
Abfcifs alfo alſo Angle appear Arch Area arife Axis becauſe Body Cafe Center Centripetal Force Circle cloudy Conftruction Corol Curve defcribed demonftrated Diameter Difference diftant Disk Diſtance eafily Eclipfe Ellipfis equal Equation faid fecond feem feen fhall fhew fhould fince firft firſt fixt Star Fluxion fmall Gales fome fometimes fuch fuppofed given Glafs greateſt Hence Hyperbola increaſed infinite Inftrument Interfection itſelf Jupiter laft laſt Latitude Latus rectum leaft leffer lefs Limb Logarithm mean Motion meaſured Method of Fluxions Moon moſt muſt North Pole Number obferved Ordinate paffing pafs'd Parabola Parallax Particles perpendicular Place Planet Pofition Point Prifm propofed Propofition Quantity Radius Ratio Rays Reafon Right Afcenfion right Line Satellite Saturn Scholium Series ſhall ſmall Sound Spots Subtangent Sun's Tangent Teleſcope Terms thefe theſe thofe thoſe tion Triangle Tube uſed Velocity Weather whence whofe whoſe
Δημοφιλή αποσπάσματα
Σελίδα 193 - ... their descent ; and to let it out again when they were drawn up full from below. And to a hole in the uppermost part of these barrels, I fixed a leathern trunk or hose well liquored with bees...
Σελίδα 259 - A few seconds before the sun was totally hid, there discovered itself round the moon a luminous ring, about a digit or perhaps a tenth part of the moon's diameter in breadth. It was of a pale whiteness, or rather pearl colour seeming to me a little tinged with the colours of the iris, and to be concentric with the moon; whence I concluded it was the moon's atmosphere.
Σελίδα 193 - Through these hose, as soon as their ends came above the surface of the water in the barrels, all the air that was included in the upper parts of them was blown with great force into the bell, whilst the water entered at the bung-holes below, and filled them...
Σελίδα 193 - Air in them condensed on their descent; and to let it out again when they were drawn up full from below. And to a Hole in the uppermost Part of these Barrels I fixed a Leathern Trunk or Hose, well liquored with Bees...
Σελίδα 193 - I myself have been one of five who have been together at the bottom in nine or ten fathoms water, for above an hour and a half at a time, without any sort of ill consequence ; and I might have continued there as long as I pleased, for any thing that appeared to the contrary.
Σελίδα 212 - I walked so far before my companions up the mountain, along the side of the river of fire, that I was obliged to retire in great haste, the sulphureous stream having surprised me, and almost taken away my breath.
Σελίδα 193 - I pleased, for any thing that appeared to the contrary. Besides, the whole cavity of the bell was kept entirely free from water, so that I sat on a bench, which was diametrically placed near the bottom, wholly dressed with all my clothes on.
Σελίδα 192 - Glass, as a Window to let in the Light from above, and likewise a Cock to let out the hot Air that had been Breathed; and below, about a Yard under the Bell, I placed a Stage which hung by three Ropes, each of which was charged with about one Hundred Weight, to keep it steddy.
Σελίδα 212 - Vesuvius to the south-west, whence we rode four or five miles before we came to the burning river, which was about midnight . The roaring of the volcano grew exceeding loud and horrible as we approached. I observed a mixture of colours in the cloud over the crater, green, yellow, red, and blue; there was likewise a ruddy, dismal light in...
Σελίδα 215 - Emperor's head on one side, and a spreadeagle on the other : but what is more remarkable is, that the very ground at the bottom of the river was found in some places to lie in ridges and furrows ; thereby showing that it had been ploughed and tilled in former days.