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Page 22
... equal to two sides , and the angle included by them of another , these triangles are equal in all respects . Let us ... bases , are equal . ( 2 ) That the two remaining angles in each triangle are equal each to each . ( 3 ) That ...
... equal to two sides , and the angle included by them of another , these triangles are equal in all respects . Let us ... bases , are equal . ( 2 ) That the two remaining angles in each triangle are equal each to each . ( 3 ) That ...
Page 23
... equal , and , further , it was pointed out in a note that the test of coincidence could be applied to the three ... bases must coincide , for the extremities of the bases are also the extremities of the sides which coincide , and ...
... equal , and , further , it was pointed out in a note that the test of coincidence could be applied to the three ... bases must coincide , for the extremities of the bases are also the extremities of the sides which coincide , and ...
Page 24
Marianne Nops. the equal sides coincide at all points , the bases must coincide ( post . 5 ) , and are equal ( ax . 8 ) . all the sides coincide , the parts included by them , i.e. the areas and remainings , coincide and are equal ( ax ...
Marianne Nops. the equal sides coincide at all points , the bases must coincide ( post . 5 ) , and are equal ( ax . 8 ) . all the sides coincide , the parts included by them , i.e. the areas and remainings , coincide and are equal ( ax ...
Page 28
... equal in all respects ( I. 4 ) , and the angle ABC = ACB = ACB . Proposition ... equal ; show that the two opposite angles are equal . Proposition VI ... bases of the two triangles did not coincide , two straight lines would ...
... equal in all respects ( I. 4 ) , and the angle ABC = ACB = ACB . Proposition ... equal ; show that the two opposite angles are equal . Proposition VI ... bases of the two triangles did not coincide , two straight lines would ...
Page 31
... equal , and also CB and DB , by joining CD the vertices of the triangles we construct two isosceles triangles , with a common base CD . What do we know further about these triangles ? Because they are isosceles the angles at their bases are ...
... equal , and also CB and DB , by joining CD the vertices of the triangles we construct two isosceles triangles , with a common base CD . What do we know further about these triangles ? Because they are isosceles the angles at their bases are ...
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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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