A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 25
... theorem is a truth easily deduced from that theorem . Ex . 1. Take Fin AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. The opposite angles of a rhombus are equal to one another . [ Draw ...
... theorem is a truth easily deduced from that theorem . Ex . 1. Take Fin AB , and making AG equal to AF , show that the angles ABC and ACB are equal to one another . 2. The opposite angles of a rhombus are equal to one another . [ Draw ...
Página 26
... THEOREM . On the same base , and on the same side of it , there cannot be two triangles which have their sides which are terminated in one extremity of the base , equal to one another , and likewise those which are terminated in the ...
... THEOREM . On the same base , and on the same side of it , there cannot be two triangles which have their sides which are terminated in one extremity of the base , equal to one another , and likewise those which are terminated in the ...
Página 28
... THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal , the angle which is contained by the two sides of the one shall be equal to the angle which is ...
... THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise their bases equal , the angle which is contained by the two sides of the one shall be equal to the angle which is ...
Página 35
... THEOREM . If , at a point in a straight line , two other straight lines , on the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line ...
... THEOREM . If , at a point in a straight line , two other straight lines , on the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line ...
Página 36
... are not on opposite sides of AB , and are therefore not in the same straight line . Ex . Show that four equal squares may be placed so as to form one square . IA PROPOSITION 15. THEOREM . If two straight lines cut one 36 EUCLID'S ELEMENTS .
... are not on opposite sides of AB , and are therefore not in the same straight line . Ex . Show that four equal squares may be placed so as to form one square . IA PROPOSITION 15. THEOREM . If two straight lines cut one 36 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