A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... 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 . 2 . 3 . NOTE 1. A Parallelogram is a quadrilateral which has its opposite sides parallel . 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 . 2 . 3 . NOTE 1. A Parallelogram is a quadrilateral which has its opposite sides parallel . 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 . PROPOSITION 22. PROBLEM . Ex . If O be a point within the triangle ABC , prove that the ...
... 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 . PROPOSITION 22. PROBLEM . Ex . If O be a point within the triangle ABC , prove that the ...
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 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 EUCLID'S ELEMENTS .
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
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
ABCD AC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure remainder result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole