## Class lessons on Euclid1882 |

### From inside the book

Results 1-5 of 26

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**circle**and its parts . 24-29 " " 30-34 99 29 " " triangles . four - sided figures . No. 35 defines parallel straight lines . OF LINES AND SURFACES . 1. A point is that which has no parts or magnitude . ' " 2. A line is length without ... Page 8

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**circle**. ' 16. And this point is called the centre 17. A diameter of a**circle**is a straight line drawn through the centre and terminated both ways by the circum- ference ' ( equal in length to two radii ) . 18. A semicircle is the ... Page 9

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**circle**is the figure contained by a straight line ( called a chord ) and the circumference which it cuts off . ' A semicircle is of course a segment of a**circle**. A sector , or section , of a**circle**is the figure contained by two radii ... Page 10

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**circles**are measured by degrees according to the size of the arc which they intercept . An acute angle being less than a right angle may contain any number of degrees less than 90 ; an obtuse angle , being greater than a right angle ... Page 12

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**circle**enumerated in defs . 17 , 18 , 19 , are not referred to afterwards in Book I. , and the figures defined in Nos . 31 , 32 , 33 , are spoken of generally as parallelograms . THE POSTULATES . The postulates , in the original ...### Other editions - View all

### Common terms and phrases

&c.-Q.E.D. PROPOSITION ABCD alternate angles angle ABC angle ACB angles are equal angles equal base BC bisected Cheaper Edition circle cons construction Demy 8vo diameter enunciation equal bases equal in area equal sides equal triangles equilateral triangle Euclid exterior Fcap Frontispiece given angle given line given point given straight line given triangle gnomon gram half the line Illustrations interior and opposite interior angles isosceles triangle Join line equal meet opposite angles opposite sides parallelogram perpendicular Poems problem produced proof Prop rectangle contained rhombus right angles right-angled triangle Second Edition sides equal Small crown 8vo square on AC square on half SUMMARY OF PROPOSITION THEOREM Third Edition Translated triangle ABC triangles are equal twice the rect twice the rectangle vertical angle vols Wherefore whole line

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