Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
Dentro del libro
Resultados 1-5 de 25
Página 7
... fixed line FG in g1 ; then it remains to be proved that fig , is still parallel to FE . The displacements of the points g and ƒ are 991 = 001 . gE F91 ; ffi = dd1E Ff1 where OE FO1 dd1 = 001 . dC Fdi OC FO1 ; dE Fdi 991 Fg1 whence ...
... fixed line FG in g1 ; then it remains to be proved that fig , is still parallel to FE . The displacements of the points g and ƒ are 991 = 001 . gE F91 ; ffi = dd1E Ff1 where OE FO1 dd1 = 001 . dC Fdi OC FO1 ; dE Fdi 991 Fg1 whence ...
Página 31
... fixed poles , draw the line Bp so that angle PBp may be equal to ABa ; and Cp so that angle PCp may be equal to ACa . Let Bp and Cp intersect in p . Again , draw the line Bq , making angle QBq equal to ABa ; and Cq , making angle QCq ...
... fixed poles , draw the line Bp so that angle PBp may be equal to ABa ; and Cp so that angle PCp may be equal to ACa . Let Bp and Cp intersect in p . Again , draw the line Bq , making angle QBq equal to ABa ; and Cq , making angle QCq ...
Página 32
... fixed , so that the ratios PB pB and are constant ; whence it follows that their equals PC PC PT PS PS and are constant , as likewise the ratio Conse- pq pq PT quently , if R be a sixth point on the conic , we must have PT Pt PSPs = so ...
... fixed , so that the ratios PB pB and are constant ; whence it follows that their equals PC PC PT PS PS and are constant , as likewise the ratio Conse- pq pq PT quently , if R be a sixth point on the conic , we must have PT Pt PSPs = so ...
Página 35
... fixed point , the ratio is constant ; and , ᏢᎡ PT therefore , the ratio is also constant . COR . III . - If the diagonal BC ( Fig . 20 ) meet the line PQ in r ' , and Pt be set off so that Pť PT = Pr ' PR ' the line Bť ' will be a ...
... fixed point , the ratio is constant ; and , ᏢᎡ PT therefore , the ratio is also constant . COR . III . - If the diagonal BC ( Fig . 20 ) meet the line PQ in r ' , and Pt be set off so that Pť PT = Pr ' PR ' the line Bť ' will be a ...
Página 63
... fixed centres of projection from which to project the variable points B on the conic , it follows from Art . 7 that the pencils A and C will be projective , and therefore any four positions of the point q , II 63 PROJECTIVE CONICS.
... fixed centres of projection from which to project the variable points B on the conic , it follows from Art . 7 that the pencils A and C will be projective , and therefore any four positions of the point q , II 63 PROJECTIVE CONICS.
Otras ediciones - Ver todas
Términos y frases comunes
A. S. WALPOLE A. W. VERRALL Assistant Master BEGINNERS bending-moment bisect Cambridge centre of gravity chord circle Clifton College complete quadrangle conic conjugate points conjugate rays corresponding curve double points draw drawn parallel Edited elastic line ELEMENTARY TREATISE ellipse ENGLISH equal Fcap Fellow of Trinity foci forces funicular G. E. FASNACHT GEOMETRY given GRAMMAR GREEK HISTORY homologous points hyperbola Illustrated infinity intercept Introduction and Notes involution ISAAC TODHUNTER J. P. MAHAFFY J. P. POSTGATE LATIN Lecturer line of action Litt LL.D load M.A. BOOK M.A. Cr MACMILLAN'S Mathematics meet Owens College pairs of opposite parabola pencil perpendicular perspective plane point of contact point of intersection polar distance pole preparation PRIMER Prof Professor projective punctuated line quadrangle ratio reciprocal respectively revised School shew span straight line tangent Translated triangle Trinity College University University of Cambridge vertical wherefore
Pasajes populares
Página 29 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo.
Página 21 - Prize Essay for 1877. 8vC. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Página 23 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Página 23 - 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. Crown 8vo. "]s. 6d. RAWLINSON— ELEMENTARY STATICS. By the Rev. GEORGE RAWLINSON, MA Edited by the Rev. EDWARD STURGES, MA Crown 8vo. 4*.
Página 7 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Página 47 - THE MESSAGES OF THE BOOKS. Being Discourses and Notes on the Books of the New Testament.
Página 33 - GRAY— STRUCTURAL BOTANY, OR ORGANOGRAPHY ON THE BASIS OF MORPHOLOGY. To which are added the principles of Taxonomy and Phytography, and a Glossary of Botanical Terms.
Página 9 - 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.
Página 24 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Página 32 - BLANFORD.— THE RUDIMENTS OF PHYSICAL GEOGRAPHY FOR THE USE OF INDIAN SCHOOLS ; with a Glossary of Technical Terms employed. By HF BLANFORD, FGS Illustrated.