Analytical Geometry: With the Properties of Conic Sections, and an Appendix, Constituting a Tract on Descriptive GeometryLongman, Brown, Green and Longmans, 1846 - 202 páginas |
Dentro del libro
Resultados 1-5 de 53
Página ix
... different di- rections - c . DEF . 8. An hyperbola d . Case in which the curve may be infinite in one direction only 39 e . DEF . 9. A parabola 40 50. Conditions under which the equation of the curve leads CONTENTS . ix.
... different di- rections - c . DEF . 8. An hyperbola d . Case in which the curve may be infinite in one direction only 39 e . DEF . 9. A parabola 40 50. Conditions under which the equation of the curve leads CONTENTS . ix.
Página xi
... parabola in terms of an abscissa or segment of any diameter and the corre- sponding ordinate · 64. Proportions derived from the equations for the ellipse , hyper- bola , and parabola Page 54 54 · 54 - 55 a . COR . Tangents to a parabola ...
... parabola in terms of an abscissa or segment of any diameter and the corre- sponding ordinate · 64. Proportions derived from the equations for the ellipse , hyper- bola , and parabola Page 54 54 · 54 - 55 a . COR . Tangents to a parabola ...
Página xii
... parabola , to any point in the curve a . DEF . 15. A radius vector Page 65 67 67 68 69 70 71 22 71 - 72 83. COR . In an ellipse the sum of two lines drawn from the foci to any point in the curve ; and , in an hyperbola , the dif ...
... parabola , to any point in the curve a . DEF . 15. A radius vector Page 65 67 67 68 69 70 71 22 71 - 72 83. COR . In an ellipse the sum of two lines drawn from the foci to any point in the curve ; and , in an hyperbola , the dif ...
Página xiii
... parabola , at a distance from its extremity equal to the distance of the focus from the same point ; the length of a line drawn from the focus to any point in the curve , is equal to the perpen- dicular distance from that point to the ...
... parabola , at a distance from its extremity equal to the distance of the focus from the same point ; the length of a line drawn from the focus to any point in the curve , is equal to the perpen- dicular distance from that point to the ...
Página xiv
... parabolas on the same axis the several ordinates corresponding to any one abscissa are to one an- other as the square roots of the parameters ·· 107. COR . 3. If a tangent be drawn from any point in a parabola to meet the axis of the ...
... parabolas on the same axis the several ordinates corresponding to any one abscissa are to one an- other as the square roots of the parameters ·· 107. COR . 3. If a tangent be drawn from any point in a parabola to meet the axis of the ...
Contenido
1 | |
12 | |
17 | |
18 | |
26 | |
28 | |
34 | |
47 | |
102 | |
104 | |
106 | |
114 | |
116 | |
122 | |
139 | |
140 | |
50 | |
51 | |
53 | |
54 | |
60 | |
65 | |
66 | |
71 | |
78 | |
88 | |
90 | |
91 | |
96 | |
98 | |
145 | |
147 | |
153 | |
159 | |
161 | |
172 | |
173 | |
179 | |
185 | |
190 | |
193 | |
198 | |
10 | |
Otras ediciones - Ver todas
Analytical Geometry: With the Properties of Conic Sections, and an Appendix ... John Narrien Sin vista previa disponible - 2023 |
Analytical Geometry: With the Properties of Conic Sections, and an Appendix ... John Narrien Sin vista previa disponible - 2018 |
Términos y frases comunes
asymptotes bisected centre chord co-ordinate axes co-ordinate planes coefficients cone conjugate axes conjugate diameters conjugate hyperbola consequently cos.² curve line curve surface directrix distance double ordinate draw drawn parallel ellipse or hyperbola equation becomes equivalent excentricity figure find the equation foci focus given line given point imagine let OA let the co-ordinates line be drawn line drawn meet nates oblique origin parabola parallelepiped parameter perpen perpendicular to ox plane in space plane XOY plane zox point of contact produced projected lines projections on zox PROPOSITION rectangle represented respectively right angles Scholium second member semi-conjugate semi-transverse axis square straight line substituting tangent be drawn transverse axis triangles Trigon values whence zero
Pasajes populares
Página 1 - The Debater ; a Series of Complete Debates, Outlines of Debates, and Questions for Discussion. *By F. ROWTON. Fcp.
Página 4 - Diamond Latin-English Dictionary. A Guide to the Meaning, Quality, and right Accentuation of Latin Classical Words. Royal 32mo.
Página 12 - ELEMENTS OF NATURAL HISTORY, For the use of Schools and Young Persons : comprising the Principles of Classification, interspersed with amusing and instructive original Accounts of the most remarkable Animals. By Mrs. R. LEE (formerly Mrs. TE BOWDICH), Author of "Taxidermy," "Memoirs of Cuvier,
Página 9 - BLAIR'S CHRONOLOGICAL AND HISTORICAL TABLES, From the Creation to the present time : with Additions and Corrections from the most authentic Writers ; including the Computation of St. Paul, as connecting the Period from the Exode to the Temple. Under the revision of Sir HENRY ELLIS, KH, Principal Librarian of the British Museum.
Página 14 - MAUNDER.- THE UNIVERSAL CLASS-BOOK : A new Series of Reading Lessons (original and selected) for Every Day in the Year ; each Lesson recording some important Event in General History, Biography, &c. which happened on the day of the month under which it is placed, or detailing, in familiar language, interesting facts in Science ; also a variety of Descriptive and Narrative Pieces, interspersed with Poetical Gleanings : Questions...
Página 9 - Blair's Chronological and Historical Tables, from the Creation to the present time : With Additions and Corrections from the most authentic Writers; including the Computation of St. Paul, as connecting the Period from the Exode to the Temple.
Página 15 - Walker's Dictionary Epitomised. Walker's Pronouncing Dictionary of the English Language, Epitomised on a plan which allows of full Definitions to the leading Words, and large additions to the Terms of Modern Science: with a Key to the Pronunciation of Greek, Latin, and Scripture Proper Names.
Página 14 - An Explanatory Pronouncing Dictionary of the French Language, in French and English ; wherein the exact Sound of every Syllable is distinctly marked, according to the method adopted by Mr.