## Euclidian Geometry |

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Page xvi

Things which are

Things which are

**double**of equal things are equal to one another . Things which are halves of equal things are equal to one another . Equimultiples of equal things are equal . Things , of which the equimultiples are equal ... Page 52

B If the sides opposite the base terminate in the same point D , then each of the s is

B If the sides opposite the base terminate in the same point D , then each of the s is

**double**of the △ DBC ; ( 1. 26 ) .. □ ABCD is = DBCF . DEFINITIONS . The greatest perpendicular which can be let fall ( 52 ) Page 54

If a parallelogram and a triangle be on the same base and between the same parallels , the parallelogram is

If a parallelogram and a triangle be on the same base and between the same parallels , the parallelogram is

**double**of the triangle . E A D E W t B х с Let the B C X EBCD and " the △ ABC be on the same base BC , and between the same ... Page 57

( I. I ) PC is

( I. I ) PC is

**double**of the △ RPH , because they are on the same base and between the same parallels . ( 1.32 ) Also . FRP and QRP are rights ; ... FRQ is a straight line ( I. 10 ) , and it is | to SP . : . □ SPRF is**double**of the ... Page 59

FGH is

FGH is

**double**of the 4 FRH ; also the SH is**double**of △ FRH ,. they are upon the same base and between the same parallels . ( 1. 32 ) SH is = △ FGH , and it has an SRH equal to the given angle K. PROBLEM M. To a given straight line ...### What people are saying - Write a review

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### Common terms and phrases

base bisect Cambridge centre chapter chord circle circumference classes cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence Illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reading rect rectangle render respectively revised right angles Schools Second Edition segment selected sides similar Similarly square student taken tangent THEOREM third touch TREATISE triangle twice University volume whole

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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.

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Page 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.

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.