Geometry of Position |
From inside the book
Results 1-5 of 82
Page xiv
... Rays Focal Propositions on- 99 The Segment between Point of Contact and Directrix • • Line joining Focus to Intersection of Tangents Constancy of Sum or Difference of Radii Vectors Perpendiculars let fall from Foci on Tangents 35. To ...
... Rays Focal Propositions on- 99 The Segment between Point of Contact and Directrix • • Line joining Focus to Intersection of Tangents Constancy of Sum or Difference of Radii Vectors Perpendiculars let fall from Foci on Tangents 35. To ...
Page xvii
... rays GP ' and HP ' of two pencils G and H be coincident or coperspective , the pencils will be perspective of the same line , and consequently perspective of each other . For let any other pair of homologous rays GF ' and HF " meet in B ...
... rays GP ' and HP ' of two pencils G and H be coincident or coperspective , the pencils will be perspective of the same line , and consequently perspective of each other . For let any other pair of homologous rays GF ' and HF " meet in B ...
Page xviii
... rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . O∞ 0 F K P P " P CH И u ' Fig . 1 . THEOREM . - If from any point I ( Fig . 1 ) three lines be drawn , and if upon those three ...
... rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . O∞ 0 F K P P " P CH И u ' Fig . 1 . THEOREM . - If from any point I ( Fig . 1 ) three lines be drawn , and if upon those three ...
Page 1
... rays . COR . - From any pole O ( Fig . 2 ) draw four rays , upon three of which choose any three points abc . Produce ba and be to intersect any transversal 54 in the points 1 and 2. Next take any point b ' on the ray Ob , and join b'1 ...
... rays . COR . - From any pole O ( Fig . 2 ) draw four rays , upon three of which choose any three points abc . Produce ba and be to intersect any transversal 54 in the points 1 and 2. Next take any point b ' on the ray Ob , and join b'1 ...
Page 2
... rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . G K u u O F F P H Fig . 1 . C THEOREM . - If from any point I ( Fig . 1 ) three lines be drawn , and if upon those three lines a ...
... rays meet upon the line F'C ' , it necessarily follows that any fourth pair will meet upon the same line . G K u u O F F P H Fig . 1 . C THEOREM . - If from any point I ( Fig . 1 ) three lines be drawn , and if upon those three lines a ...
Other editions - View all
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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*.
Page 7 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Page 47 - THE MESSAGES OF THE BOOKS. Being Discourses and Notes on the Books of the New Testament.
Page 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.
Page 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.
Page 24 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 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.