A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for Exercise |
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Σελίδα xiv
Duplicate ratio , the square of a ratio , or the ratio of the squares of two quantities , Dynamics , the science of moving powers . Elimination , in Algebra , that operation by which any number n of equations , containing n unknown ...
Duplicate ratio , the square of a ratio , or the ratio of the squares of two quantities , Dynamics , the science of moving powers . Elimination , in Algebra , that operation by which any number n of equations , containing n unknown ...
Σελίδα xvi
Terms of a product , of a ratio , & c . the several quantities employed in forming or composing them . Variable , a term applied to such quantities as are considered in a variable or changeable state , either encreasing or decreasing ...
Terms of a product , of a ratio , & c . the several quantities employed in forming or composing them . Variable , a term applied to such quantities as are considered in a variable or changeable state , either encreasing or decreasing ...
Σελίδα xvi
He resolved Archimedes's problem of cutting a sphere into two segments , having a given ratio to one another . MAUROLYCUS of Messina flourished in the middle of the sixteenth century , and besides furnishing many valuable translations ...
He resolved Archimedes's problem of cutting a sphere into two segments , having a given ratio to one another . MAUROLYCUS of Messina flourished in the middle of the sixteenth century , and besides furnishing many valuable translations ...
Σελίδα xvi
The next step was , supposing a series of lines in arithmetical progression , and squares to be described on each of them , to find what ratio the sum of all these squares bears to the greatest square , taken as often as there are terms ...
The next step was , supposing a series of lines in arithmetical progression , and squares to be described on each of them , to find what ratio the sum of all these squares bears to the greatest square , taken as often as there are terms ...
Σελίδα xvi
... and the other with a velocity always increasing in the ratio of the space the point had already gone over : the first of these would generate magnitudes in arithmetical , and the second magnitudes in geometrical progression ; and it ...
... and the other with a velocity always increasing in the ratio of the space the point had already gone over : the first of these would generate magnitudes in arithmetical , and the second magnitudes in geometrical progression ; and it ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude axis base become called centre circle circumference co-efficient common cone consequently contained convergency curve denominator describe diameter difference distance divided draw drawn equal equation Examples expression factors feet figure fluxion four fraction function given gives greater half Hence infinite integral join less magnitudes manner measure meet meridian method Multiply opposite original parallel parallelogram pass perpendicular plane pole Prob probability Problem projection Prop proportional Proposition pyramid quantity radius ratio rectangle Reduce remaining represented result right angles root rule sides similar sine solid sphere square straight line subtract suppose taken tang tangent Theorem things third triangle vanishing whence Wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 172 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Σελίδα 191 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 190 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 196 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 192 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 177 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Σελίδα 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Σελίδα 286 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 179 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Πληροφορίες βιβλιογραφίας
| Τίτλος | A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for Exercise |
| Συγγραφέας | Peter Nicholson |
| Εκδότης | G. B. Whittaker, 1825 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 11 Ιουν. 2007 |
| Μέγεθος | 372 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |