An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of ProjectionsMacmillan, 1866 - 182 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 28.
Σελίδα ix
... Theorem · 258 ib . 67 68 ib . 69 EXAMPLES 71 CHAPTER IV . ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE SECOND DEGREE . 2. To find the point in which a straight line , drawn in a given 3 . direction through a given point of ...
... Theorem · 258 ib . 67 68 ib . 69 EXAMPLES 71 CHAPTER IV . ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE SECOND DEGREE . 2. To find the point in which a straight line , drawn in a given 3 . direction through a given point of ...
Σελίδα x
... Theorem 13 . 15 . • • • • The anharmonic ratio of the Pencil , formed by four intersecting straight lines , is the same as that of the range formed by their poles Any straight line drawn through a given point A is divided har- monically ...
... Theorem 13 . 15 . • • • • The anharmonic ratio of the Pencil , formed by four intersecting straight lines , is the same as that of the range formed by their poles Any straight line drawn through a given point A is divided har- monically ...
Σελίδα xi
... Theorems by Reciprocation with respect to a point . Corresponding Points and Lines . The angle between the radius vector and tangent in any curve is equal to the corresponding angle in the Reciprocal Curve Co - ordinates of the foci of ...
... Theorems by Reciprocation with respect to a point . Corresponding Points and Lines . The angle between the radius vector and tangent in any curve is equal to the corresponding angle in the Reciprocal Curve Co - ordinates of the foci of ...
Σελίδα 59
... theorems as will be necessary in our future investigations ; referring the reader who may be desirous of fuller informa- tion to Salmon's Lessons on the Higher Algebra ; Spottis- woode , On Determinants ( the second edition of which ...
... theorems as will be necessary in our future investigations ; referring the reader who may be desirous of fuller informa- tion to Salmon's Lessons on the Higher Algebra ; Spottis- woode , On Determinants ( the second edition of which ...
Σελίδα 60
... theorem will be proved to be true for all deter- minants . 4. Next , suppose we have the three equations а1x1 + α2x2 + α2x1 = 0 , b1x1 + b1⁄2ï1⁄2 + bçï ̧ = 0 , C11 + C2X2 + C3x3 = 0 . DETERMINANTS OF THREE ROWS . 61 Multiply these ...
... theorem will be proved to be true for all deter- minants . 4. Next , suppose we have the three equations а1x1 + α2x2 + α2x1 = 0 , b1x1 + b1⁄2ï1⁄2 + bçï ̧ = 0 , C11 + C2X2 + C3x3 = 0 . DETERMINANTS OF THREE ROWS . 61 Multiply these ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Trilinear Co-Ordinates, the Method of Reciprocal ... Norman MacLeod Ferrers Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
aa+bB+cy angular points anharmonic ratio asymptotes b₁ b₂ centre Chap chord coefficients common tangents condition of tangency conic section Crown 8vo curve determine directrix distance escribed circles Fcap find the equation fixed point foci focus four points given conic given point given straight line harmonic pencil Hence imaginary internal bisectors investigated Let the equation line at infinity line joining locus meets the conic nine-point circle obtain opposite sides pair parabola parallel Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact pole prove radical axis reciprocated with respect rectangular hyperbola represented right angles second degree sin POS tangents tangents drawn theorem three points three straight lines touches the line triangle of reference ua² V'ca values vß² W'ab whence wy² λα
Δημοφιλή αποσπάσματα
Σελίδα 11 - MORGAN — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA Morgan, MA, Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Σελίδα 7 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Σελίδα 10 - NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Σελίδα 20 - SCHOOL SONGS. A Collection of Songs for Schools. With the Music arranged for four Voices. Edited by the Rev. E. THRING and H. RICCIUS. Folio, 'js.
Σελίδα 12 - PUCKLE— AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution ; especially designed for the Use of Beginners. By GH PUCKLE, MA New Edition, revised and enlarged.
Σελίδα 6 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA. late Fellow of St. John's College, Cambridge. Fcap. 8vo.
Σελίδα 23 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Σελίδα 3 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo.
Σελίδα 23 - WILSON— THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 4to. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Σελίδα 11 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.