Instructions Given in the Drawing School Established by the Dublin Society: Course of mathematicks. System of the physical world. System of the moral world. Plan of the military art. Plan of the marcantile arts. Plan of naval art. Plan of mechanic arts. The elements of EuclidA. M'Culloch, 1769 |
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Página cxi
... Triangle which will be given , fince this Angle and its two Sides are given , the Angle of this Triangle oppofite to the least of thofe Sides , will exprefs with fufficient Accuracy , the Equa- tion or Correction in the mean Motion of ...
... Triangle which will be given , fince this Angle and its two Sides are given , the Angle of this Triangle oppofite to the least of thofe Sides , will exprefs with fufficient Accuracy , the Equa- tion or Correction in the mean Motion of ...
Página cxii
... Triangle is given , befides the Right - angle , the Latitude of Hypothenufe , viz . the Moon's Distance from the Node , the Angle at the Node , viz . the Inclination of the Plane of the Moon's Orbit to the Plane of the Ecliptic ...
... Triangle is given , befides the Right - angle , the Latitude of Hypothenufe , viz . the Moon's Distance from the Node , the Angle at the Node , viz . the Inclination of the Plane of the Moon's Orbit to the Plane of the Ecliptic ...
Página cxiv
... Triangle being then com- pleted , the other Angle at the Bafe , expreffes the Equation or Cor- rection to be made to the Place of the Apogee already once corrected ; and the other Side of the Triangle which is oppofite to the Angle made ...
... Triangle being then com- pleted , the other Angle at the Bafe , expreffes the Equation or Cor- rection to be made to the Place of the Apogee already once corrected ; and the other Side of the Triangle which is oppofite to the Angle made ...
Página cxxi
... Triangle , one of whofe Sides is expreffed by 1. and the other by- # 1 b 27,4038 " calculate the Hypotheneufe ( H ) , find two mean Proportionals between H + -- ence will be the Value of t b 54,8077 54,8077 and H- b and their Differ- 54 ...
... Triangle , one of whofe Sides is expreffed by 1. and the other by- # 1 b 27,4038 " calculate the Hypotheneufe ( H ) , find two mean Proportionals between H + -- ence will be the Value of t b 54,8077 54,8077 and H- b and their Differ- 54 ...
Página 5
... triangles , are those which are contained by three ftraight lines . Fig . 13 , 16 , 17 . XXII . Quadrilateral ... Triangle , is that which has only two fides equal . Fig . 17 . rig.21 Fig.18 Fig.19 Fig.20 P Fig.23 Fig.24 Fig 22 As ...
... triangles , are those which are contained by three ftraight lines . Fig . 13 , 16 , 17 . XXII . Quadrilateral ... Triangle , is that which has only two fides equal . Fig . 17 . rig.21 Fig.18 Fig.19 Fig.20 P Fig.23 Fig.24 Fig 22 As ...
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Términos y frases comunes
ABCD alfo alſo arch bafe baſe becauſe Bodies Cafe circle Cofine Comet cone Confequently cylinder defcribed demonftrated DEMONSTRATION diameter difcovered Diſtance draw the ftraight Earth ECAUSE Ecliptic equal Equator equiangular equimultiples fame altitude fame manner fame multiple fame plane fame ratio fecond fegment fhall fhewing fhould fimilar fince firft firſt folid fome Force fphere fquare ftraight lines AC fuch fuppofed given Gravity greateſt heliocentric Hypothefis impoffible interfect Jupiter leaft lefs Likewife line A B magnitude Meaſure Moon moſt Motion Newton Nodes Number Obfervations oppofite Orbit paffes pafs parallelepiped parallelogram Perihelion plle Prep prifm proportional PROPOSITION pyramid Rays rectilineal figure Revolution Rgle right angles Saturn Syfigies Syftem Tangent thefe Thefis THEOREM theſe thofe thoſe thro Tides tion triangle true Anomaly Vafe Wherefore whofe
Pasajes populares
Página 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página 4 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 164 - When of the equimultiples of four magnitudes (taken as in the fifth definition), the multiple of the first is greater than that of the second, but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third magnitude has to the fourth : and, on the contrary, the third is said to have to the fourth a less ratio than the first has to the second. VIII. " Analogy, or proportion, is the similitude of ratios.
Página 165 - When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals.
Página 241 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Página xxviii - ... bodies that are within the sphere of their activity, and consequently, that not only the sun and moon have .an influence upon the body and motion of the earth, and the earth upon them, but that...
Página 165 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.
Página 226 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Página xiv - Oh! qui m'arrêtera sous vos sombres asiles? Quand pourront les neuf Sœurs, loin des cours et des villes, M'occuper tout entier, et m'apprendre des deux Les divers mouvements inconnus à nos yeux, Les noms et les vertus de ces clartés errantes Par qui sont nos destins et nos mœurs différentes.
Página xxviii - Now what these several degrees are I have not yet experimentally verified; but it is a notion which, if fully prosecuted, as it ought to be, will mightily assist the astronomers to reduce all the celestial motions to a certain rule, which I doubt will never be done true without it.