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 100
Side 17
... Ve , as alfo the Vc & Vf , to which the equal fides are oppofite , are equal to one another . Which was to be demonftrated . II . C Ax . 9 . Ax . 9 . Ax 9 . A B d b C D E PROPOSITION V. THEOREM Book I. 17 Of EUCLID .
... Ve , as alfo the Vc & Vf , to which the equal fides are oppofite , are equal to one another . Which was to be demonftrated . II . C Ax . 9 . Ax . 9 . Ax 9 . A B d b C D E PROPOSITION V. THEOREM Book I. 17 Of EUCLID .
Side 18
Joseph Fenn. A B d b C D E PROPOSITION V. THEOREM II . IN every ifofceles triangle ( BAC ) : the angles ( a & b ) at the bafe ( BC ) are equal , & if the equal fides ( AB , AC , ) be produced : the ... THEOREM III 18 Book I. The ELEMENTS.
Joseph Fenn. A B d b C D E PROPOSITION V. THEOREM II . IN every ifofceles triangle ( BAC ) : the angles ( a & b ) at the bafe ( BC ) are equal , & if the equal fides ( AB , AC , ) be produced : the ... THEOREM III 18 Book I. The ELEMENTS.
Side 19
Joseph Fenn. D A I. B C PROPOSITION VI . THEOREM III . Fa triangle ( ACB ) has two angles ( a & b + c ) equal to one another ; the fides which are oppofite to thofe equal angles , will be alfo equal to one another . Hypothefis . In the ...
Joseph Fenn. D A I. B C PROPOSITION VI . THEOREM III . Fa triangle ( ACB ) has two angles ( a & b + c ) equal to one another ; the fides which are oppofite to thofe equal angles , will be alfo equal to one another . Hypothefis . In the ...
Side 26
... Line CF is upon the line AB , Pof . 3 . P. 10. B. 1 . Pof . 1 . Pof . 1 . D. 16. B. 1 . D. 15. B. 1 . P. 8. B. L. D. 10. B. 1 . Which was to be demonftrated , A. D m E B PROPOSITION XIII . THEOREM VI 26 Book L. The ELEMENTS.
... Line CF is upon the line AB , Pof . 3 . P. 10. B. 1 . Pof . 1 . Pof . 1 . D. 16. B. 1 . D. 15. B. 1 . P. 8. B. L. D. 10. B. 1 . Which was to be demonftrated , A. D m E B PROPOSITION XIII . THEOREM VI 26 Book L. The ELEMENTS.
Side 27
Joseph Fenn. A. D m E B PROPOSITION XIII . THEOREM VI . THE angles which one straight line EC makes with another AB upon one fide of it , are either two right angles , or are together equal to two right angles . Hypothefis . EC is a ...
Joseph Fenn. A. D m E B PROPOSITION XIII . THEOREM VI . THE angles which one straight line EC makes with another AB upon one fide of it , are either two right angles , or are together equal to two right angles . Hypothefis . EC is a ...
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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.