Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
Dentro del libro
Resultados 1-5 de 32
Página 5
... divided in b , c ; or , in other terms , the product ad . bc of the whole span ad and the central span be is equal to the product ab . cd of the two end spans ab and cd . The ratio to be proved is ab da de + ac bc = de = dc = 1 + ас de ...
... divided in b , c ; or , in other terms , the product ad . bc of the whole span ad and the central span be is equal to the product ab . cd of the two end spans ab and cd . The ratio to be proved is ab da de + ac bc = de = dc = 1 + ас de ...
Página 6
... divided by the point c and the point at infinity , and the points fceco may be regarded as determined by the intersections with line fe of the pairs of opposite sides and diagonals of a quadrangle . Since cf is parallel to aO , the ...
... divided by the point c and the point at infinity , and the points fceco may be regarded as determined by the intersections with line fe of the pairs of opposite sides and diagonals of a quadrangle . Since cf is parallel to aO , the ...
Página 8
... divided in d and k ; and , therefore , the pencil of rays projecting its divisions from any external point , and a fortiori from any apex of the complete quadrangle EgfF , must be harmonic . COR . III . - Bisect ac ( Fig . 4 ) in O ...
... divided in d and k ; and , therefore , the pencil of rays projecting its divisions from any external point , and a fortiori from any apex of the complete quadrangle EgfF , must be harmonic . COR . III . - Bisect ac ( Fig . 4 ) in O ...
Página 10
... circle containing the chord in c ' and a ' , the line d'b ' will be harmonically divided in c ' and a ' , as shewn by the relation O'b ' . O'd ' = O'c'2 . If the curve about O ' were an ellipse instead 10 CHAP . GEOMETRY OF POSITION.
... circle containing the chord in c ' and a ' , the line d'b ' will be harmonically divided in c ' and a ' , as shewn by the relation O'b ' . O'd ' = O'c'2 . If the curve about O ' were an ellipse instead 10 CHAP . GEOMETRY OF POSITION.
Página 11
... divided by the rays containing the angles , and are normal to each other . 3. Given three points a , b , c , of a line u , ( Fig . 6 ) and three homologous points on a second line ; to find a fourth pair of homologous points of the same ...
... divided by the rays containing the angles , and are normal to each other . 3. Given three points a , b , c , of a line u , ( Fig . 6 ) and three homologous points on a second line ; to find a fourth pair of homologous points of the same ...
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.