## Euclidian Geometry |

### From inside the book

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Page 45

... , SPQ opposite to these are right △ s . ( 1.26 ) DEFINITION . A rectangle is a right - angled parallelogram , and is said to be contained by any two of its adjacent sides . A

... , SPQ opposite to these are right △ s . ( 1.26 ) DEFINITION . A rectangle is a right - angled parallelogram , and is said to be contained by any two of its adjacent sides . A

**square**DEFINITION . is a four - sided figure QUADRILATERALS . Page 46

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...

**square**. B Let ABCD be the rectangle contained by AB , AD , and let AB be = AD . Then ABCD is a**square**. For since ABCD is a □ , .. AD is = BC , ( 1. 26 ) = and AB is DC , ( 1. 26 ) also , by hypothesis , AB is = AD ; .. ABCD is ... Page 50

... . are each = AX , and .. AB is divided into five equal parts . In like manner may a straight line be divided into any given number of equal parts . PROBLEM K. Describe a

... . are each = AX , and .. AB is divided into five equal parts . In like manner may a straight line be divided into any given number of equal parts . PROBLEM K. Describe a

**square**on a given straight line 50 QUADRILATERALS AND MULTILATERALS . Page 51

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...

**square**on AB . Through A draw AC 1 to AB , from AC cut off AH = AB . Through H draw HK || to AB , and through B draw BK || to AH . Then ABKH shall be the**square**required . For , by construction , AK is a □ . .. AB is HK , = and AH = BK ... Page 57

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**square**on the side oppo- site the right be equal to PF , RK . Through R draw RC to PH ; join RH , SQ . Now the right ...**square**on PR . Similarly it may be proved that the QC is = the**square**on RQ ; .. the whole figure PHNQ , that is the ...### Other editions - View all

### 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

### Popular passages

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 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.