A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Resultat 1-5 av 45
Side 2
... Suppose , for example , that we were given PN = a , PM = b , we need only measure OM = α and ON b , and draw the par- allels PM , PN , which will in- tersect in the point required . = It is usual to denote PM parallel to OY by the ...
... Suppose , for example , that we were given PN = a , PM = b , we need only measure OM = α and ON b , and draw the par- allels PM , PN , which will in- tersect in the point required . = It is usual to denote PM parallel to OY by the ...
Side 4
... Suppose , in the last figure , the angle YOX oblique and = w , PSQ = 180 ° - w , PQ2 = PS2 + QS2 - 2PS.QS.cos PSQ , - - PQ2 = ( y − y ′′ ) 2 + ( x ′ − x ' ) 2 + 2 ( y ' – y ' ) ( x ' — x ′′ ) cos w . Similarly , the square of the ...
... Suppose , in the last figure , the angle YOX oblique and = w , PSQ = 180 ° - w , PQ2 = PS2 + QS2 - 2PS.QS.cos PSQ , - - PQ2 = ( y − y ′′ ) 2 + ( x ′ − x ' ) 2 + 2 ( y ' – y ' ) ( x ' — x ′′ ) cos w . Similarly , the square of the ...
Side 18
... suppose A = 0 in the general equation , the inter- = C made by the line on the axis of x becomes infinite . A Hence the line By + C O cuts the axis of x at an infinite distance , or , in other words , is parallel to it . This agrees ...
... suppose A = 0 in the general equation , the inter- = C made by the line on the axis of x becomes infinite . A Hence the line By + C O cuts the axis of x at an infinite distance , or , in other words , is parallel to it . This agrees ...
Side 20
... suppose that the given equation when multiplied by a certain factor R is reduced to the required form , then RA RB = = cos B. But it can easily be proved that , if a and ẞ be any two angles whose sum is w , we shall have Hence cos2 a + ...
... suppose that the given equation when multiplied by a certain factor R is reduced to the required form , then RA RB = = cos B. But it can easily be proved that , if a and ẞ be any two angles whose sum is w , we shall have Hence cos2 a + ...
Side 22
... suppose a point on the line given , the equa- tion y = mx + b , which is true for every point on the line , must be true for the point x'y ' . Hence we get the condition y ' = mx ' + b . As we are given no other condition , we are not ...
... suppose a point on the line given , the equa- tion y = mx + b , which is true for every point on the line , must be true for the point x'y ' . Hence we get the condition y ' = mx ' + b . As we are given no other condition , we are not ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes axis bisected centre chord of contact chords of intersection circumscribing common tangents conic having double conic section conic touching conjugate diameters constant ratio corresponding Cy² directrix double contact drawn Edition ellipse envelope equal find the equation find the locus fixed line fixed point focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve origin parabola parallel Pascal's theorem perpendicular plane point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree square substituting subtended theorem triangle vertex vertices vols
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Side 20 - The VOYAGE and SHIPWRECK of ST, PAUL; with Dissertations on the Life and Writings of St. Luke and the Ships and Navigation of the Ancients.
Side 10 - Visits to Remarkable Places : Old Halls, Battle-Fields, and Scenes illustrative of Striking Passages in English History and Poetry. By WILLIAM HOWITT. 2 vols. square crown 8vo. with Wood Engravings, 25s. The Rural Life of England.
Side 12 - Dr. John Lindley's Theory and Practice of Horticulture ; or, an Attempt to explain the principal Operations of Gardening upon Physiological Grounds : Being the Second Edition of the Theory of Horticulture, much enlarged ; with 98 Woodcuts.
Side 19 - Guide ; containing ample Descriptions of all the fine leading varieties of Roses, regularly classed in their respective Families ; their History and Mode of Culture. Fifth Edition, corrected and improved. Fcp.
Side 9 - Haydn's Book of Dignities: Containing Rolls of the Official Personages of the British Empire, Civil, Ecclesiastical, Judicial, Military, Naval, and Municipal, from the Earliest Periods to tlie Present Time.
Side 16 - The Tale of the Great Persian War, from the Histories of Herodotus. By GEORGE W. Cox, MA late Scholar of Trin. Coll. Oxon. Fcp. 7s. 6d. Greek History from Themistocles to Alexander, in a Series of Lives from Plutarch. Revised and arranged by AH CLOUGH. Fcp. with 44 Woodcuts, 6s. Critical History of the Language and Literature of Ancient Greece.
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Side 7 - Church Services adapted for Domestic Use, with Prayers for Every Day of the Week, selected from the Book of Common Prayer ; PART II. an appropriate Sermon for Every Sunday in the Year.