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 12
... Perpendicular . L Greater than Less than More . Lefs . Angle . - - - - Right Angle , Triangle . Equal , Square . Circle . Circumference . Plle . Pgr . Rgle . - Parallel . Parallelogram . Rectangle , 12 Book I. The ELEMENTS.
... Perpendicular . L Greater than Less than More . Lefs . Angle . - - - - Right Angle , Triangle . Equal , Square . Circle . Circumference . Plle . Pgr . Rgle . - Parallel . Parallelogram . Rectangle , 12 Book I. The ELEMENTS.
Σελίδα 42
... plle . If not , DEMONSTRATION . The ftraight lines AB , CD , produced will meet either towards BD or towards AC . Preparation . Let them be produced & meet towards BD in the point M. BECAUSE ECAUSE the Vn is an exterior angle of A GMH ...
... plle . If not , DEMONSTRATION . The ftraight lines AB , CD , produced will meet either towards BD or towards AC . Preparation . Let them be produced & meet towards BD in the point M. BECAUSE ECAUSE the Vn is an exterior angle of A GMH ...
Σελίδα 43
... plle . Hypothefis . The Yo + nare to 2 L. BECAUSE CASE II DEMONSTRATION . P. 15. B. 1 . Ax . 1 . P. 27. B. 1 . Thefis . AB , CD , are plle . lines . ECAUSE the ftraight line EF falling upon the straight line AB , forms with it the ...
... plle . Hypothefis . The Yo + nare to 2 L. BECAUSE CASE II DEMONSTRATION . P. 15. B. 1 . Ax . 1 . P. 27. B. 1 . Thefis . AB , CD , are plle . lines . ECAUSE the ftraight line EF falling upon the straight line AB , forms with it the ...
Σελίδα 44
... plle . But the line LN cuts one of the two plles , viz . AB in G. P. 23. B. 1 . Pof . 2 . P. 27. B. 1 . 2. Therefore , if produced fufficiently , it will cut alfo the other CD fome- where in M , upon that fide on which is the leffer of ...
... plle . But the line LN cuts one of the two plles , viz . AB in G. P. 23. B. 1 . Pof . 2 . P. 27. B. 1 . 2. Therefore , if produced fufficiently , it will cut alfo the other CD fome- where in M , upon that fide on which is the leffer of ...
Σελίδα 45
... plle . Ax . 4 . P. 13. B. I. Cor . of lem . But the straight lines AB , CD , are plle . ( Hyp . ) . 5. Confequently , the Vm & n are not unequal . 6. They are therefore equal , or n = m . P. 27. B. i . C. N. Which was to be demonftrated ...
... plle . Ax . 4 . P. 13. B. I. Cor . of lem . But the straight lines AB , CD , are plle . ( Hyp . ) . 5. Confequently , the Vm & n are not unequal . 6. They are therefore equal , or n = m . P. 27. B. i . C. N. Which was to be demonftrated ...
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.