Euclidian GeometryMacmillan, 1874 - 349 σελίδες |
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Σελίδα 10
... taken for granted that a circle can be described having any centre and radius equal to any given straight line . PROBLEM A. Describe an equilateral triangle upon a given straight 10 STRAIGHT LINES , ANGLES AND TRIANGLES .
... taken for granted that a circle can be described having any centre and radius equal to any given straight line . PROBLEM A. Describe an equilateral triangle upon a given straight 10 STRAIGHT LINES , ANGLES AND TRIANGLES .
Σελίδα 11
... describe an equilateral triangle upon AB . With A as centre , and radius AB , describe the circle BCD , and with B as centre and radius BA describe the circle ACE . Let these circles intersect in C ; join CA , CB . Then ABC shall be the ...
... describe an equilateral triangle upon AB . With A as centre , and radius AB , describe the circle BCD , and with B as centre and radius BA describe the circle ACE . Let these circles intersect in C ; join CA , CB . Then ABC shall be the ...
Σελίδα 12
... describe a circle cutting AD , AE in the points B and C. With centres B and C describe equal circles cutting one another in F Join AF ; then 4 DAE shall be bisected by AF . Then Join BF , CF. ... in the As ABF , ACF , BA is CA , BF = CF ...
... describe a circle cutting AD , AE in the points B and C. With centres B and C describe equal circles cutting one another in F Join AF ; then 4 DAE shall be bisected by AF . Then Join BF , CF. ... in the As ABF , ACF , BA is CA , BF = CF ...
Σελίδα 13
... describe two circles having equal radii intersecting in C , D. Join CD cutting AB in E ; then AB shall be bisected in E. Join AC , CB , BD , DA . Then in the AS ACD , BCD , and AC , CD , DA are respectively = BC , CD , DB , .. As ACD ...
... describe two circles having equal radii intersecting in C , D. Join CD cutting AB in E ; then AB shall be bisected in E. Join AC , CB , BD , DA . Then in the AS ACD , BCD , and AC , CD , DA are respectively = BC , CD , DB , .. As ACD ...
Σελίδα 16
... describe equal Os intersect- ing in F. Join AF . Then AF shall be to BC . Join DF , EF . ·· DA is = EA , DF = EF , and AF common to the two AS DAF , EAF , .. these as are equal in all respects ; ..L DAF is = LEAF , .. AF is to BC ...
... describe equal Os intersect- ing in F. Join AF . Then AF shall be to BC . Join DF , EF . ·· DA is = EA , DF = EF , and AF common to the two AS DAF , EAF , .. these as are equal in all respects ; ..L DAF is = LEAF , .. AF is to BC ...
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Algebra 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
Δημοφιλή αποσπάσματα
Σελίδα 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Σελίδα 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.
Σελίδα 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.
Σελίδα 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.