## Euclidian Geometry |

### Inni boken

Side 15

... an angle = one of its adjacent angles it is also = the other , . . if one straight line

is 1 to another , the latter is 1 to the former . Thus each of the arms of a right 2 is 1

to the other . PROPOSITION VII . It is always possible to

... an angle = one of its adjacent angles it is also = the other , . . if one straight line

is 1 to another , the latter is 1 to the former . Thus each of the arms of a right 2 is 1

to the other . PROPOSITION VII . It is always possible to

**draw**a RIGHT ANGLES . Side 16

It is always possible to

from a given point in the same . - - - - - - - - - - - - Let BC be the given straight line ,

and A the given point in it . Then from A a straight line can be drawn i BC .

It is always possible to

**draw**a straight line perpendicular to a given straight linefrom a given point in the same . - - - - - - - - - - - - Let BC be the given straight line ,

and A the given point in it . Then from A a straight line can be drawn i BC .

Side 18

But if not , through B

together ; . . the ZS ABC and ABD are together = the z s CBE , EBA and ABD ; . of

which CBE is a right 2 , and EBA , ABD make up a right 2 ; . : LS ABC , ABD are ...

But if not , through B

**draw**BEI to CD ; then the - ABC is = the s CBE and EBAtogether ; . . the ZS ABC and ABD are together = the z s CBE , EBA and ABD ; . of

which CBE is a right 2 , and EBA , ABD make up a right 2 ; . : LS ABC , ABD are ...

Side 19

9 ) and are . : . = LS ABC , ABD ; ( hyp . ) . : LABE is = 1 ABD , which is impossible

. . : , no other straight line than BD is in the same straight line with BC ; . . BD is in

the same straight line with BC . PROPOSITION XI . It is always possible to

9 ) and are . : . = LS ABC , ABD ; ( hyp . ) . : LABE is = 1 ABD , which is impossible

. . : , no other straight line than BD is in the same straight line with BC ; . . BD is in

the same straight line with BC . PROPOSITION XI . It is always possible to

**draw**... Side 20

It is always possible to

unlimited length from a given point without it . Let A be any point without the

straight line BC of unlimited length . Then from A a straight line can be drawn I to

BC .

It is always possible to

**draw**a perpendicular to a given straight line of anunlimited length from a given point without it . Let A be any point without the

straight line BC of unlimited length . Then from A a straight line can be drawn I to

BC .

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base bisect Cambridge centre chapter chord circle circumference 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 rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole

### Populære avsnitt

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

Side 26 - 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 58 - 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 47 - 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 63 - 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 61 - 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 31 - ... 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.