A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 15
... 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 three equal sides . 25. An isosceles ...
... 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 three equal sides . 25. An isosceles ...
Página 17
... Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site sides parallel . 2 . 3 . A ...
... Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet . NOTE 1. A Parallelogram is a quadrilateral which has its oppo- site sides parallel . 2 . 3 . A ...
Página 42
... quadrilateral are together greater than its two diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two ...
... quadrilateral are together greater than its two diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two ...
Página 43
... quadrilaterals stand on the same base , and one is enclosed by the other , the perimeter of the inner figure is less than that of the outer figure . Ex . If O be a point within the triangle ABC , prove that the sum of AO , BO , and CO ...
... quadrilaterals stand on the same base , and one is enclosed by the other , the perimeter of the inner figure is less than that of the outer figure . Ex . If O be a point within the triangle ABC , prove that the sum of AO , BO , and CO ...
Página 62
... the opposite sides of a quadrilateral figure be equal to one another it is a parallelogram . 3. The diagonals of a parallelogram bisect each other . PROPOSITION 35. THEOREM . Parallelograms on the same base , 62 62 EUCLID'S ELEMENTS .
... the opposite sides of a quadrilateral figure be equal to one another it is a parallelogram . 3. The diagonals of a parallelogram bisect each other . PROPOSITION 35. THEOREM . Parallelograms on the same base , 62 62 EUCLID'S ELEMENTS .
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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