Class lessons on Euclid1882 |
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Side 10
... equal . The perimeter of any figure is the measurement round about it , i.e. the sum of its sides . OF THREE - SIDED FIGURES . Euclid classifies triangles ( 1 ) according to their sides , as equilateral or equal sided , isosceles ( ioos , ...
... equal . The perimeter of any figure is the measurement round about it , i.e. the sum of its sides . OF THREE - SIDED FIGURES . Euclid classifies triangles ( 1 ) according to their sides , as equilateral or equal sided , isosceles ( ioos , ...
Side 13
... equals be added to equals the wholes are equal . ' 3. ' If equals be taken from equals the remainders are equal . ' If A = C and B = D , A + B = C ÷ D . 4. If equals and unequals be added together , the wholes are unequal . ' 5. ' If equals ...
... equals be added to equals the wholes are equal . ' 3. ' If equals be taken from equals the remainders are equal . ' If A = C and B = D , A + B = C ÷ D . 4. If equals and unequals be added together , the wholes are unequal . ' 5. ' If equals ...
Side 17
... equal sides . The given line will itself form one side of the triangle , and if we can draw two other lines equal to it in such a position that the three lines shall together form an equilateral triangle , the problem will be solved ...
... equal sides . The given line will itself form one side of the triangle , and if we can draw two other lines equal to it in such a position that the three lines shall together form an equilateral triangle , the problem will be solved ...
Side 21
... equal to any given line ; ' hence from point A a line can be drawn equal to C , and then we can proceed as in the first case . [ NOTE . - In the formal statement of this proposition it is not necessary to divide it into two cases , as ...
... equal to any given line ; ' hence from point A a line can be drawn equal to C , and then we can proceed as in the first case . [ NOTE . - In the formal statement of this proposition it is not necessary to divide it into two cases , as ...
Side 22
... 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 be equal to one another : - ( 1 ) In their sides ; each side of the ...
... 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 be equal to one another : - ( 1 ) In their sides ; each side of the ...
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Vanlige uttrykk og setninger
&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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Side 10 - HAWEIS, Rev. HR, MA— Current Coin. Materialism— The Devil — Crime — Drunkenness — Pauperism — Emotion — Recreation —The Sabbath.
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Side 17 - The Christian Year. Thoughts in Verse for the Sundays and Holy Days throughout the Year.
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