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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Σελίδα xcii
... Likewise the Tides which precede the Quadratures are not the leaft , they decreafe gradually and do not come to their leaft Height until some Time after the Moon has passed the Quadratures . The great- on of the Meridian whilft the ...
... Likewise the Tides which precede the Quadratures are not the leaft , they decreafe gradually and do not come to their leaft Height until some Time after the Moon has passed the Quadratures . The great- on of the Meridian whilft the ...
Σελίδα clxix
... likewise fubmitted to their Judgement , fometimes to two by the Way of Arbitration , and again to a Jury , whilft one affumes the Character of the Plaintiff , and another that of the Defendant , and each gives in fuch Memorials or ...
... likewise fubmitted to their Judgement , fometimes to two by the Way of Arbitration , and again to a Jury , whilft one affumes the Character of the Plaintiff , and another that of the Defendant , and each gives in fuch Memorials or ...
Σελίδα 11
... Likewise , all angles whose fides coincide are equal . Fig . 7 . Euclid has not separately enounced , those particular axioms fubordinate to the general one ; be nevertheless makes use of them , as will eafily appear in ana- lyzing ...
... Likewise , all angles whose fides coincide are equal . Fig . 7 . Euclid has not separately enounced , those particular axioms fubordinate to the general one ; be nevertheless makes use of them , as will eafily appear in ana- lyzing ...
Σελίδα 21
... likewise supposed = BD ; 3. The A CBD will be an ifofceles A. 4. Hence Vc & Vba at the base will be equal to one another . If therefore we take from Vb + a its part 5. The Vc will be > the remaining Vb . And if to this fame Vc be added ...
... likewise supposed = BD ; 3. The A CBD will be an ifofceles A. 4. Hence Vc & Vba at the base will be equal to one another . If therefore we take from Vb + a its part 5. The Vc will be > the remaining Vb . And if to this fame Vc be added ...
Σελίδα 22
... likewise equal , each to each . Hypothefis . I. FH AC . II . HG III . GF = CB . BA . Thefis . VF VA . A FHGA ACB , and VG = VB . VH = VC . Preparation . Let the AFHG be applied to the △ ACB , so that , 1. The point F may coincide with ...
... likewise equal , each to each . Hypothefis . I. FH AC . II . HG III . GF = CB . BA . Thefis . VF VA . A FHGA ACB , and VG = VB . VH = VC . Preparation . Let the AFHG be applied to the △ ACB , so that , 1. The point F may coincide with ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 226 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 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.
Σελίδα 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.