A Compendious System of Natural Philosophy: With Notes, Containing the Mathematical Demonstrations, and Some Occasional Remarks. In Four Parts ... |
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Page 35
... Lemma . Let there be a Circle as ABC ( Fig . 15. ) AK a Tangent in the point A , AB perpendicular to the Horizon and parallel to A Eq EK KE or KI , I fay angle EAK ( 32. Elem . 3. ) , and the angle BAE is equal to the angle AEK as ...
... Lemma . Let there be a Circle as ABC ( Fig . 15. ) AK a Tangent in the point A , AB perpendicular to the Horizon and parallel to A Eq EK KE or KI , I fay angle EAK ( 32. Elem . 3. ) , and the angle BAE is equal to the angle AEK as ...
Page 36
... Lemma AB = or but ( ex conftru- EK IK tione ) AB is equal to four times the height a Body must fall from , to acquire the velocity with which it is to be thrown , A Eq A Iq therefore its equal or is the fame , which by the Co- EK IK ...
... Lemma AB = or but ( ex conftru- EK IK tione ) AB is equal to four times the height a Body must fall from , to acquire the velocity with which it is to be thrown , A Eq A Iq therefore its equal or is the fame , which by the Co- EK IK ...
Page 1
... Lemma's . LEMMA I. If a Body defcends from A along the Line AX , ( Appendix Plate , Fig . 1. ) by virtue of a Force which decreases in Proportion as the Difiance of the Body from X decreases ; that is , if when the Body comes to M , N ...
... Lemma's . LEMMA I. If a Body defcends from A along the Line AX , ( Appendix Plate , Fig . 1. ) by virtue of a Force which decreases in Proportion as the Difiance of the Body from X decreases ; that is , if when the Body comes to M , N ...
Page 2
... Lemma . Parallel and contiguous to the Line MD , draw NP , in which Cafe the Line MN becomes a Point , and the Arch DP a Tangent to the Curve : Produce PD till it meets XA produced , in T ; draw the Line XD ; and let fall the ...
... Lemma . Parallel and contiguous to the Line MD , draw NP , in which Cafe the Line MN becomes a Point , and the Arch DP a Tangent to the Curve : Produce PD till it meets XA produced , in T ; draw the Line XD ; and let fall the ...
Page 3
... LEMMA II . If a Body moves along the Line AX , ( Fig . z . ) and be urged all the Way by Forces proportionable to its Diflance from the l'oint X ; whatever Point of that Line it fets out from , it will come to the Point X in the fame ...
... LEMMA II . If a Body moves along the Line AX , ( Fig . z . ) and be urged all the Way by Forces proportionable to its Diflance from the l'oint X ; whatever Point of that Line it fets out from , it will come to the Point X in the fame ...
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A Compendious System of Natural Philosophy: With Notes Containing the ... John Rowning No preview available - 2017 |
Common terms and phrases
acquire by falling Afcent againſt alfo alſo Angle of Incidence Angle of Refraction Arch arifes Atmoſphere Attraction Bafe Barometer Baſe becauſe Body Cafe Caufe Cauſe Center of Ofcillation Chap Column confequently convex Cycloid defcend defcribe Degree demonftrated denfer Medium Diameter Diſtance diverging Earth Elafticity equal exprefs faid fame farther fecond feem felf fhall fhould fince firft firſt fituated Fluid fmall fome Force fpecifically fquare fuch fufficient fufpended fuftain fuppofe Glafs Gravity laft lefs Lemma Lens leſs Line Mercury moſt Motion move muft muſt Number obferved Object oblique Occafion oppofite parallel Particles Pendulum perpendicular perpendicular Height Phænomena Philofophers Place Point Power preffed Preffure Propofition Proportion Quantity of Matter raiſed Rays paffing Reaſon Refiftance refpective Refraction reft reprefented Retina rife Side Sine ſmall ſpace Stratum Surface thefe themſelves theſe thofe thoſe tion triangle Tube Unifon Vapour Veffel Velocity Vibrations Water Weft Weight whence whofe Winds
Popular passages
Page 87 - When foul weather happens soon after the falling of the mercury expect but little of it ; and on the contrary, expect but little fair weather when it proves fair shortly after the mercury has risen.
Page 81 - Va" pours are better kept fufpended, fo that they " have no Inclination to precipitate and fall " down in Drops, which is the Reafon of the " ferene good Weather which attends the " greater Heights of the Mercury.
Page 80 - being low inclines it to rain, becaufe the air being light, the vapours are no longer fupported thereby, being become fpecifically heavier than the medium wherein they floated ; fo that they defcend towards the earth, and in their fall, meeting with other aqueous particles, they incorporate together and form little drops of rain. But the mercury's being at one time lower than...
Page 79 - Oblervations at St. Helena^ make very little or no Variation of the Height of the Mercury in all Weathers.
Page 111 - In some places the time of the change is attended with calms, in others with variable winds. And it often happens on the...
Page 11 - This amounts to the same with saying, that, in the case before us, the sine of the angle of incidence is to the sine of the angle of refraction in a given ratio.
Page 87 - These are esteemed the best of any general rules hitherto made : 1. The rising of the mercury presages, in general, fair weather; and its falling, foul weather, as rain, snow, high winds, and storms. 2. In very hot weather, the falling of the mercury indicates thunder.
Page 87 - In foul weather, when the mercury rises much and high, and so continues for two or three days before the foul weather is quite over, then expect a continuance of fair weather to follow.
Page 70 - ... again meeting in one common valley, and gaining the plain ground, being grown less rapid, become a river; and many of these being united in one common channel, make such enormous streams as the Rhine, the Rhone and the Danube.
Page 22 - The sine of the angle of incidence bears to the sine of the angle of refraction a ratio, which is always the same for the same two media and is called the index of refraction.