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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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 13
... ECAUSE the point A is the center of O BCD ( Ref . 1. ) , and the lines AB , AC , are drawn from the center A to the O BCD ( Ref . 4. ) . 1. Those two lines AB , AC , are rays of the fame O. 2. Confequently , the line AC is to the line ...
... ECAUSE the point A is the center of O BCD ( Ref . 1. ) , and the lines AB , AC , are drawn from the center A to the O BCD ( Ref . 4. ) . 1. Those two lines AB , AC , are rays of the fame O. 2. Confequently , the line AC is to the line ...
Σελίδα 20
... ECAUSE the point D is fuppofed to be a point in AC different from the point C. 1. The line AD is either > or << the line AC . 2. Confequently it is impoffible that AD AC . Which was to be demonftrated . C. N. CASE II . If the point D be ...
... ECAUSE the point D is fuppofed to be a point in AC different from the point C. 1. The line AD is either > or << the line AC . 2. Confequently it is impoffible that AD AC . Which was to be demonftrated . C. N. CASE II . If the point D be ...
Σελίδα 21
... ECAUSE AC is fuppofed AD . 1. The A CAD will be an ifofceles A. 2. Confequently Vb & d + c at the bafe are equal to one another . Again , because BC is likewife fuppofed = BD ; 3. The ACBD will be an ifofceles A. 4. Hence Ve & vba at ...
... ECAUSE AC is fuppofed AD . 1. The A CAD will be an ifofceles A. 2. Confequently Vb & d + c at the bafe are equal to one another . Again , because BC is likewife fuppofed = BD ; 3. The ACBD will be an ifofceles A. 4. Hence Ve & vba at ...
Σελίδα 27
... ECAUSE DC is upon AB ( Prep . ) . D. 10. B. 1 . But as DCB is to the two Vn + ; if the VDCA or Vm , be Ax . 2 . if the V ECB or added to each . 2. The two V DCA + DCB , are to the three Vm + n + a . Again , because VECA is to the two ...
... ECAUSE DC is upon AB ( Prep . ) . D. 10. B. 1 . But as DCB is to the two Vn + ; if the VDCA or Vm , be Ax . 2 . if the V ECB or added to each . 2. The two V DCA + DCB , are to the three Vm + n + a . Again , because VECA is to the two ...
Σελίδα 28
... ECAUSE ACD is a ftraight line upon which falls the line EC . 1. It follows , that the fum of the adjacent VACE + ECD is to two L. P. 13. B. 1 . But the ACE + ECB being alfoto two ( Hyp . 2. ) . Taking away therefore from each the common ...
... ECAUSE ACD is a ftraight line upon which falls the line EC . 1. It follows , that the fum of the adjacent VACE + ECD is to two L. P. 13. B. 1 . But the ACE + ECB being alfoto two ( Hyp . 2. ) . Taking away therefore from each the common ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD alfo alſo arch bafe baſe becauſe Bodies Cafe caufe centrifugal Force circle Cofine Comet cone Confequently cylinder defcribed demonftrated Diameter diſcovered 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 fide AC fimilar fince firft firſt folid fome Force fquare ftraight lines AC fuch fuppofed Gravity greateſt heliocentric Hypothefis impoffible interfect Jupiter lefs Likewife line A B magnitude Meaſure Moon moſt Motion Newton Nodes Number Obfervations oppofite Orbit pafs thro parallelepiped Perihelion plle Prep prifm proportional PROPOSITION pyramid Rays rectilineal figure Revolution Rgle right angles Saturn ſphere Syfigies Syftem Tangent thefe Thefis THEOREM theſe thofe thoſe Tides tion triangle true Anomaly Vafe Wherefore whofe
Δημοφιλή αποσπάσματα
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 8 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα xxviii - This depends upon three suppositions: — first, that all celestial bodies whatsoever have an attraction or gravitating power towards their own centres, whereby they attract not only their own parts and keep them from flying from them, as we may observe the earth to do, but that they do also attract all the other celestial bodies that are within the sphere of their activity...
Σελίδα 164 - VII. 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...
Σελίδα 29 - Therefore if two straight lines, &c. QED COR. 1. From this it is manifest, that, if two straight lines cut one another, the angles they make at the point where they cut, are together equal to four right angles.
Σελίδα 29 - Cor. 2. And consequently that all the angles made by any number of lines meeting in one point, are together equal to four right angles.
Σελίδα xxviii - Saturn also, by their attractive powers, have a considerable influence upon its motion, as in the same manner the corresponding attractive power of the earth hath a considerable influence upon every one of their motions also.
Σελίδα xxviii - The third supposition is that these attractive powers are so much the more powerful in operating, by how much the nearer the body wrought upon is to their own centers. Now what these several degrees are I have not yet experimentally verified...