## Euclidian Geometry |

### From inside the book

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Page 11

Francis Cuthbertson. PROBLEM A. Describe an equilateral triangle upon a given straight

Francis Cuthbertson. PROBLEM A. Describe an equilateral triangle upon a given straight

**line**. Let AB be the given ...**bisect**a given angle . A E STRAIGHT**LINEs**, angles and triangles . I I PROBLEM A. ... Page 12

... = .. the As ABF , ACF are equal in all respects , .. the BAF is the CAF , and = ..L DAE has been bisected by AF . ( 1.5 ) Q. E. F. PROBLEM C. To

... = .. the As ABF , ACF are equal in all respects , .. the BAF is the CAF , and = ..L DAE has been bisected by AF . ( 1.5 ) Q. E. F. PROBLEM C. To

**bisect**a given straight**line**. Let 12 STRAIGHT**LINES**, ANGLES AND TRIANGLES . Page 13

...

...

**line**. It is required to**bisect**it . With centres A and B 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 ... Page 59

...

...

**Bisect**GH in R ; join FR ; through F draw FST || to GH ; at R in RH make 4 HRS = K. Through H draw HT || to RS ; then SRHT shall be the required . ... GR ... angle K. PROBLEM M. To a given straight**line**apply a parallelogram AREAS . 59. Page 64

... line or lines composed of all possible positions of that point . PROBLEM ( c ) . Find the locus of a point equidistant from two given points . Let A , B be the two given . points ...

... line or lines composed of all possible positions of that point . PROBLEM ( c ) . Find the locus of a point equidistant from two given points . Let A , B be the two given . points ...

**lines bisecting**the sides 64 SUPPLEMENT TO BOOK I.### Other editions - View all

### Common terms and phrases

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

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Page 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.

Page 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.

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Page 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.

Page 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.

Page 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.

Page 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.

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Page 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...

Page 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.