A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 Seiten |
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Seite xvi
... axis of a telescope , which magnifies thirty times , to the same object , we are sure that it is within the thirtieth part of half a minute , that is , within one second of the point aimed at . It should have been observed that the ...
... axis of a telescope , which magnifies thirty times , to the same object , we are sure that it is within the thirtieth part of half a minute , that is , within one second of the point aimed at . It should have been observed that the ...
Seite xxv
... axis . This induced him to resume the subject of the moon's motion , which he had before partially considered ; and the measure of a degree by Norwood having now furnished more exact data , he found that his calculation gave the precise ...
... axis . This induced him to resume the subject of the moon's motion , which he had before partially considered ; and the measure of a degree by Norwood having now furnished more exact data , he found that his calculation gave the precise ...
Seite xxvii
... axis . The amount of this centrifugal force is greatest at the equator , and being measured by the momentary recess of any point from the tangent , which was known from the earth's rotation , it could be compared with the force of ...
... axis . The amount of this centrifugal force is greatest at the equator , and being measured by the momentary recess of any point from the tangent , which was known from the earth's rotation , it could be compared with the force of ...
Seite xxviii
... axis of the ellipse in every case , or the whole change of posi- tion , 40 " . It was the shorter axis which Bradley had actually observed in the case of Draconis , that star being very near the solstitial colure , so that its changes ...
... axis of the ellipse in every case , or the whole change of posi- tion , 40 " . It was the shorter axis which Bradley had actually observed in the case of Draconis , that star being very near the solstitial colure , so that its changes ...
Seite 130
... Axis = 3 ( x + 1 ) 211 . Ex . 2. Find the difference of ( x + 3 ) 11 . I By rule A ( x + 3 ) s1x = 5 ( x + 4 ) 111 . Ex . 3. Find the difference of ( x — 3—111 . By rule △ ( x — 3 ) —n — 1 ) ( x ‡ 1—3 ) ” — 211 — ( n — 1 ) ( . 2—2 ) r ...
... Axis = 3 ( x + 1 ) 211 . Ex . 2. Find the difference of ( x + 3 ) 11 . I By rule A ( x + 3 ) s1x = 5 ( x + 4 ) 111 . Ex . 3. Find the difference of ( x — 3—111 . By rule △ ( x — 3 ) —n — 1 ) ( x ‡ 1—3 ) ” — 211 — ( n — 1 ) ( . 2—2 ) r ...
Inhalt
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19 | |
97 | |
108 | |
120 | |
149 | |
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651 | |
663 | |
673 | |
687 | |
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703 | |
709 | |
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ABC is equal altitude angle ABC angle BAC axis bisected centre circle ABCD circumference co-efficient cone conic section convergency curve cylinder described diameter divided draw equal angles equation equiangular equimultiples factors fluxion fore fraction geometrical progression given straight line gnomon greater Hence hyperbola join less Let ABC magnitudes multiple opposite parabola parallel parallelogram perpendicular plane angles polygon prism produced proportional pyramid Q. E. D. PROP Q. E. D. Proposition radius rectangle rectangle contained rectilineal figure remaining angle right angles segment shewn side BC similar sine solid angle solid parallelopiped spherical triangle square of AC subtract surd tang tangent Theorem third tiple triangle ABC vertex whence Wherefore
Beliebte Passagen
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Seite 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Seite 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...
Seite 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.