A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 σελίδες |
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Αποτελέσματα 6 - 10 από τα 100.
Σελίδα xvi
... measure of time , in itself of the greatest exactness , the means of continuing its motion , without dis- turbing ... measurement of small angles , forming it into the instrument which has since been called a micrometer . The best cye ...
... measure of time , in itself of the greatest exactness , the means of continuing its motion , without dis- turbing ... measurement of small angles , forming it into the instrument which has since been called a micrometer . The best cye ...
Σελίδα xix
... measure of geometrical precision . The analysis , thus constituted , necessarily divided itself into two prob- lems ; -the first is , -having given an equation involving two or more variable quantities , to find the equation expressing ...
... measure of geometrical precision . The analysis , thus constituted , necessarily divided itself into two prob- lems ; -the first is , -having given an equation involving two or more variable quantities , to find the equation expressing ...
Σελίδα xxii
... measure of the height of mountains . Mariotte appears to have been the first who proposed this use of it , and who ... measurement . From this extreme case , he could infer the medium quantity , at least by approximation ; and he proved ...
... measure of the height of mountains . Mariotte appears to have been the first who proposed this use of it , and who ... measurement . From this extreme case , he could infer the medium quantity , at least by approximation ; and he proved ...
Σελίδα xxiv
... measured the extent of each colour , and taking the mean of a great number of measures , he assigned the following proportions , dividing the whole length of the spectrum , exclusive of its rounded terminations , into 360 equal parts ...
... measured the extent of each colour , and taking the mean of a great number of measures , he assigned the following proportions , dividing the whole length of the spectrum , exclusive of its rounded terminations , into 360 equal parts ...
Σελίδα xxv
... measure of a degree by Norwood having now furnished more exact data , he found that his calculation gave the precise quantity for the moon's momentary de- flection from the tangent of her orbit , which wss deduced from astronomical ...
... measure of a degree by Norwood having now furnished more exact data , he found that his calculation gave the precise quantity for the moon's momentary de- flection from the tangent of her orbit , which wss deduced from astronomical ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
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.