A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for Exercise |
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Αποτελέσματα 1 - 5 από τα 66.
Σελίδα 369
Each great circle has therefore its own two poles , since two great cireles cannot have the same axis . 57. ... These chords measure the distance from the pole of the circle to the different points of its circumference .
Each great circle has therefore its own two poles , since two great cireles cannot have the same axis . 57. ... These chords measure the distance from the pole of the circle to the different points of its circumference .
Σελίδα 370
Therefore the pole of any circle is equally distant from every point of its circumference . 58. Thus we may say that the pole of a circle is a point in the surface of the sphere 900 distant from every point of the circumference of this ...
Therefore the pole of any circle is equally distant from every point of its circumference . 58. Thus we may say that the pole of a circle is a point in the surface of the sphere 900 distant from every point of the circumference of this ...
Σελίδα 371
But for the sake of uniformity , it is usual to measure the value of spherical angles upon great circles described from their summits as poles . 62. Hence spherical angles are always equal to those which at 90 ° distance from their ...
But for the sake of uniformity , it is usual to measure the value of spherical angles upon great circles described from their summits as poles . 62. Hence spherical angles are always equal to those which at 90 ° distance from their ...
Σελίδα 372
From the three angles ABC , taken successively for poles , describe the arcs EF , DF , and DE , which by their concourse ... That the point B is similarly 90 ° from every point of the arc DF ; therefore F is the pole of the arc AB .
From the three angles ABC , taken successively for poles , describe the arcs EF , DF , and DE , which by their concourse ... That the point B is similarly 90 ° from every point of the arc DF ; therefore F is the pole of the arc AB .
Σελίδα 374
Since the arc AD is 90 ° , and is besides perpendicular to the arc AB , the point D is necessarily the pole of AB ; therefore from this point , letting fall the arc DB , we shall have a right angle DBA . Hence the angle CBA will be ...
Since the arc AD is 90 ° , and is besides perpendicular to the arc AB , the point D is necessarily the pole of AB ; therefore from this point , letting fall the arc DB , we shall have a right angle DBA . Hence the angle CBA will be ...
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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 |