## Class lessons on Euclid1882 |

### From inside the book

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Page 10

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**equal**- sided , figures . Again we have**triangle**, a three - cornered or three - angled figure , polygon , a many ...**triangles**, are contained by three straight lines . ' ( 22. Quadrilateral figures by four straight lines . ' 23. Page 15

... equilateral triangle , and ( 2 ) theorems in which he proves some geometrical law , e.g. the angles at the base of an isosceles

... equilateral triangle , and ( 2 ) theorems in which he proves some geometrical law , e.g. the angles at the base of an isosceles

**triangle are equal**. A proposition consists of the enunciation , the construction and the proof . The ... Page 22

... triangle has two sides and the angle included by these sides , severally equal to two sides , and the angle included by them of another , these

... triangle has two sides and the angle included by these sides , severally equal to two sides , and the angle included by them of another , these

**triangles are equal**in all respects . Let us consider in what respects triangles can be said to ... Page 23

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**triangle**ABC to be applied to DEF . Now , since in the two**triangles**two sides and the angle between them are given**equal**, we know that these**equal**parts will coincide . What results can we observe from this ? First , since the**equal**... Page 24

... equal ( ax . 8 ) . all the sides coincide , the parts included by them ... triangles in this proposition are spoken of as ' bases . ' This name may be ...

... equal ( ax . 8 ) . all the sides coincide , the parts included by them ... triangles in this proposition are spoken of as ' bases . ' This name may be ...

**triangles are equal**in all respects , if in each triangle two sides and ...### 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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