A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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... triangles , by three straight lines . 22. Quadrilateral figures by four straight lines . 23. Multilateral figures , or polygons , by more than four straight lines . 24. Of three - sided figures an equilateral triangle is that which has ...
... triangles , by three straight lines . 22. Quadrilateral figures by four straight lines . 23. Multilateral figures , or polygons , by more than four straight lines . 24. Of three - sided figures an equilateral triangle is that which has ...
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... . 11. All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
... . 11. All right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
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Euclides Charles Mansford. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . Let AB be the given straight line . It is re- quired to describe an equilateral triangle on AB . From the ...
Euclides Charles Mansford. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . Let AB be the given straight line . It is re- quired to describe an equilateral triangle on AB . From the ...
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... equilateral triangle DAB , [ I. 1. ] and produce the straight lines DA , DB to E and F. [ Post . 2. ] From the centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the dis ...
... equilateral triangle DAB , [ I. 1. ] and produce the straight lines DA , DB to E and F. [ Post . 2. ] From the centre B , at the dis- tance BC , describe the circle CGH , meeting DF in G. [ Post . 3. ] From the centre D , at the dis ...
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Euclides Charles Mansford. 2. The equilateral triangle may be described on either side of these two lines , giving four equilateral triangles . 3. In each of these possible triangles the sides may be pro- duced either through the vertex ...
Euclides Charles Mansford. 2. The equilateral triangle may be described on either side of these two lines , giving four equilateral triangles . 3. In each of these possible triangles the sides may be pro- duced either through the vertex ...
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A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal