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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Resultat 1-5 av 29
Side 18
... remaining of the one , are to the two remaining the other , each to each , viz . Vc + e = \ d + f & \ d = \ c . The whole Va + c & b + d being therefore to one another , as alfo their parts Vc & Vd ( Arg . 1. & 3. ) ; cutting off & c ...
... remaining of the one , are to the two remaining the other , each to each , viz . Vc + e = \ d + f & \ d = \ c . The whole Va + c & b + d being therefore to one another , as alfo their parts Vc & Vd ( Arg . 1. & 3. ) ; cutting off & c ...
Side 21
... remaining Vb . And if to this fame Vc be added Vd . Va . 6. Much more then will the whole Vc + d be > \ b . 7. Wherefore Vc + d & Vb are not equal to one another . But it has been proved that in confequence of the fuppofition of this ...
... remaining Vb . And if to this fame Vc be added Vd . Va . 6. Much more then will the whole Vc + d be > \ b . 7. Wherefore Vc + d & Vb are not equal to one another . But it has been proved that in confequence of the fuppofition of this ...
Side 28
... remaining V ECB , ECD , will be equal to one another . But ECB being the whole & V ECD its part . 4. It follows , that the whole is equal to its part . 5. Which is impoffible . 6. Confequently , the lines AC & BC , are in one & the fame ...
... remaining V ECB , ECD , will be equal to one another . But ECB being the whole & V ECD its part . 4. It follows , that the whole is equal to its part . 5. Which is impoffible . 6. Confequently , the lines AC & BC , are in one & the fame ...
Side 29
... remaining V ECA , DCB , which are vertically oppofite , are equal . Ax . 3 . Which was to be demonftrated . I. In the fame manner it will be proved : 5. That V ACD is to V BCE , which is vertically opposite to it . Which was to be ...
... remaining V ECA , DCB , which are vertically oppofite , are equal . Ax . 3 . Which was to be demonftrated . I. In the fame manner it will be proved : 5. That V ACD is to V BCE , which is vertically opposite to it . Which was to be ...
Side 30
... remaining of the one are equal to the remaining V of the other , each to each of those to which the equal fides are oppofite . P. 4. B. 1 . But the V ACD , DEE , are oppofite to the equal fides AD , DE , ( Prep . 3. ) . 3. Therefore V ...
... remaining of the one are equal to the remaining V of the other , each to each of those to which the equal fides are oppofite . P. 4. B. 1 . But the V ACD , DEE , are oppofite to the equal fides AD , DE , ( Prep . 3. ) . 3. Therefore V ...
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Instructions Given in the Drawing School Established by the Dublin Society ... Joseph Fenn Uten tilgangsbegrensning - 1769 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.
Side 226 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 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.
Side 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.