Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side 57
... the square on PR . Similarly it may be proved that the QC is = the square on RQ ; is = .. the whole figure PHNQ , that is the square on PQ , the squares on PR , RQ . PROPOSITION XXXVI . If the square described on one of AREAS . 57.
... the square on PR . Similarly it may be proved that the QC is = the square on RQ ; is = .. the whole figure PHNQ , that is the square on PQ , the squares on PR , RQ . PROPOSITION XXXVI . If the square described on one of AREAS . 57.
Side 83
... whole line is equal to the sum of the rectangles contained by the whole line and the several parts . COR . 2. If A be = one of the parts of the divided line , as BP , = then the rectangle A , BP is the square on BP . ... rectangle BP ...
... whole line is equal to the sum of the rectangles contained by the whole line and the several parts . COR . 2. If A be = one of the parts of the divided line , as BP , = then the rectangle A , BP is the square on BP . ... rectangle BP ...
Side 89
... whole and one of the parts may be equal to the square on the other part . Let PQ be the given straight line . On PQ describe the square PR . Bisect PS in K and join QK . Produce SP and cut off KG = KQ . On PG describe a square GPCF ...
... whole and one of the parts may be equal to the square on the other part . Let PQ be the given straight line . On PQ describe the square PR . Bisect PS in K and join QK . Produce SP and cut off KG = KQ . On PG describe a square GPCF ...
Side 91
... whole line is equal to the squares on the parts together with twice the rectangle contained by the parts . Q H M R = the squares on Let the straight line PQ be divided into any two parts in C , then shall square on PQ be PC , CQ + twice ...
... whole line is equal to the squares on the parts together with twice the rectangle contained by the parts . Q H M R = the squares on Let the straight line PQ be divided into any two parts in C , then shall square on PQ be PC , CQ + twice ...
Side 92
... whole and on the other part by twice the rectangle contained by the whole and that other part . Let the straight line AB be divided into any two parts in C. Then shall the square on AC be < the squares on AB and BC by twice the rect ...
... whole and on the other part by twice the rectangle contained by the whole and that other part . Let the straight line AB be divided into any two parts in C. Then shall the square on AC be < the squares on AB and BC by twice the rect ...
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Algebra Arithmetic base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
Populære avsnitt
Side 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Side 10 - 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.
Side 42 - Friends," with briefer Notes. i8mo. 3*. 6d. GREEK TESTAMENT. Edited, with Introduction and Appendices, by CANON WESTCOTT and Dr. FJA HORT. Two Vols. Crown 8vo. [/« the press. HARDWICK — Works by Archdeacon HARDWICK. A HISTORY OF THE CHRISTIAN CHURCH. Middle Age. From Gregory the Great to the Excommunication of Luther. Edited by WILLIAM STUBBS, MA, Regius Professor of Modern History in the University of Oxford. With Four Maps constructed for this work by A. KEITH JOHNSTON.
Side 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Side 15 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Side 47 - 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.
Side 45 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Side 12 - 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. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Side 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 15 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.