The Mathematical Correspondent: Containing, New Elucidations, Discoveries, and Improvements, in Various Branches of the MathematicsSage and Clough, 1804 |
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Σελίδα 16
... right angles . Let ABCD be a cir- cle in which is the centre and AOC the di- ameter , then shall the radius OC intersect the circumference at right angles in the point C. From the point C draw CT at right an- gles to the radius OC ...
... right angles . Let ABCD be a cir- cle in which is the centre and AOC the di- ameter , then shall the radius OC intersect the circumference at right angles in the point C. From the point C draw CT at right an- gles to the radius OC ...
Σελίδα 17
... angles EAC and ECT will become nothing : the straight line EC will then coincide with CT , and the rectilineal angle OCE will likewise coincide and become equal to the angle OCT . Therefore , since OCT is a right angle by construction ...
... angles EAC and ECT will become nothing : the straight line EC will then coincide with CT , and the rectilineal angle OCE will likewise coincide and become equal to the angle OCT . Therefore , since OCT is a right angle by construction ...
Σελίδα 18
... right angles , and con- sequently that a ship steered either due east or west must sail on a parallel of latitude . Let a hemisphere of the earth be projected stereo- graphically on the plane of the equatorial circle ABCD . Then it is ...
... right angles , and con- sequently that a ship steered either due east or west must sail on a parallel of latitude . Let a hemisphere of the earth be projected stereo- graphically on the plane of the equatorial circle ABCD . Then it is ...
Σελίδα 26
... right angles , and ED the given distance of the two trees . Instead of the numbers given in the question it will here be more convenient to take the least integers in the same ra- tio , viz . 50 , 78 and 35 , or 5 , 7.8 and 3-5 ; and ...
... right angles , and ED the given distance of the two trees . Instead of the numbers given in the question it will here be more convenient to take the least integers in the same ra- tio , viz . 50 , 78 and 35 , or 5 , 7.8 and 3-5 ; and ...
Σελίδα 28
... right angles , the angle EBD = supplement of ABC ; of consequence the natural sine of EBD = natural sine of ABC , and therefore by mensuration , the area of the triangle EBD area of ABC :: BD × BE : BC × BÅ :: ED : AC a + y × b2 + ay ...
... right angles , the angle EBD = supplement of ABC ; of consequence the natural sine of EBD = natural sine of ABC , and therefore by mensuration , the area of the triangle EBD area of ABC :: BD × BE : BC × BÅ :: ED : AC a + y × b2 + ay ...
Άλλες εκδόσεις - Προβολή όλων
The Mathematical Correspondent: Containing New Eludications ..., Τόμος 1 George Baron Πλήρης προβολή - 1804 |
The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... George Baron Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Mathematical Correspondent: Containing, New Elucidations, Discoveries ... George Baron Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD algebraic algebraic characters answer arises by multiplying assume ball Baron bisects centre centrifugal force circle consequently Coroll Corollary cosine cube cubic formula demonstrated denominator Diarius Yankee difference distance ditto draw eastwardly equal equation Euclid evident expressed fluxion formula four numbers fourth fraction frustum greater Hence horizontal increments James James Temple John Craggs John Gummere latitude length Let ABC loxodromic mathematical Mathematical Correspondent meridian mon language multiple multiplicand nearest pole New-Jersey New-York Newbern North-Carolina number of digits parallel Pennsylvania perpendicular Philadelphia plane principles PRIZE QUEST product that arises prop proposition pure number radius ratio rectangle rectilineal right angles Robert Adrain root rule SCHOLIUM side signs similar triangles sine solutions Solved straight line subtracted suppose tangent theorem third tion tiple tube velocity whence whole number York-Town
Δημοφιλή αποσπάσματα
Σελίδα 149 - What principles you proceed upon; how sound they may be; and how you apply them? It must be remembered that I am not concerned about the truth of your theorems, but only about the way of coming at them; whether it be legitimate or illegitimate, clear or obscure, scientific or tentative.
Σελίδα 148 - ... to demonstrate any proposition a certain point is supposed, by virtue of which certain other points are attained; and such supposed point be itself afterwards destroyed or rejected by a contrary supposition ; in that case all the other points attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thenceforward to be no more supposed or applied in the demonstration.
Σελίδα 122 - We must therefore be careful to distinguish between the ratio of two evanescent quantities, and the limit of their ratio ; the former ratio never arriving at the latter, as the quantities vanish at the instant that such a circumstance is aboBt to take place.
Σελίδα 149 - C's part being lost by his death, it is required to divide the whole sum, properly, between the other two. Ans. A's part is $ 57,142$, and B's $ 42,857}.
Σελίδα 19 - The fourth term is equal to the product of the second and third terms, divided by the first term.
Σελίδα 197 - ... the product of the sum and difference of any two quantities, is equal to the difference of their squares.
Σελίδα 18 - If the answer is to be greater, place the greater of the two remaining numbers for the second term, and the less number for the first term; but if it is to be less, place the less of the...
Σελίδα 68 - ... They themselves also speak in the most contemptuous manner of Col. Jared Mansfield, superintendent of the Military Academy at West Point. The writer has a copy of No. 2. stitched in a blue cover, on which is an advertisement of a Lecture delivered in New York by G. Baron, which contains (as he says) "a complete refutation of the false and spurious principles, ignorantly imposed on the public, in the 'New American Practical Navigator,
Σελίδα 118 - ... by the motion of lines ; solids by the motion of superficies ; angles by the rotation of the sides ; portions of time by a continual flux ; and so in other quantities. These geneses really take place in the nature of things, and are daily seen in the motion of bodies.
Σελίδα 118 - These geneses really take place in the nature of things, and are daily seen in the motion of bodies. And after this manner the ancients, by drawing moveable right lines along immoveable right lines, taught the genesis of rectangles.