A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página vi
... meet in the middle of the crease , thus making at their junction a line without width running from the top of the leaf to the bottom . Thus we form a notion of Euclid's line , which is " length without breadth , " and it is this mental ...
... meet in the middle of the crease , thus making at their junction a line without width running from the top of the leaf to the bottom . Thus we form a notion of Euclid's line , which is " length without breadth , " and it is this mental ...
Página 13
... meet together , but are not in the same direction . 9. A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . 10. When a straight line stand- ing ...
... meet together , but are not in the same direction . 9. A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . 10. When a straight line stand- ing ...
Página 17
... meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site sides parallel . 2. A Rectangle is a right angled parallelogram . 3. A Trapezium is a quadrilateral which has two of its sides parallel . POSTULATES . 1. Let it ...
... meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site sides parallel . 2. A Rectangle is a right angled parallelogram . 3. A Trapezium is a quadrilateral which has two of its sides parallel . POSTULATES . 1. Let it ...
Página 33
... The given line must be of unlimited length to insure that the circle FDE will meet it in two points . If this restriction were removed the following construction might be adopted . In AB take any point D. Join DC , and BOOK I. 12 . 33.
... The given line must be of unlimited length to insure that the circle FDE will meet it in two points . If this restriction were removed the following construction might be adopted . In AB take any point D. Join DC , and BOOK I. 12 . 33.
Página 51
... meet AG , there is no triangle with the required parts . 2. If this circle meet AG in one point only , there is one , and only one , triangle having the required parts . C A D B H 3. In general the circle BOOK I. 26 . 51.
... meet AG , there is no triangle with the required parts . 2. If this circle meet AG in one point only , there is one , and only one , triangle having the required parts . C A D B H 3. In general the circle BOOK I. 26 . 51.
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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 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 Ах