A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página vi
... divided into two equal parts by creasing it down the middle , the crease will represent a straight line . Now such a crease does not belong to either half of the paper , but simply divides one half from the other . Further , although it ...
... divided into two equal parts by creasing it down the middle , the crease will represent a straight line . Now such a crease does not belong to either half of the paper , but simply divides one half from the other . Further , although it ...
Página x
... divided into three parts to be thus distinguished . 1. The particular enunciation . 2. The construction . 3. The demonstration . The demonstration is effected by combining the elementary truths contained in the definitions and axioms so ...
... divided into three parts to be thus distinguished . 1. The particular enunciation . 2. The construction . 3. The demonstration . The demonstration is effected by combining the elementary truths contained in the definitions and axioms so ...
Página 23
... divided by its diagonal are equal to one another . 2. The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be ...
... divided by its diagonal are equal to one another . 2. The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be ...
Página 31
... divided into two equal parts at the point D. Q.E.F. Ex . The straight line which bisects the vertical angle of an isosceles triangle also bisects the base at right angles . Let AB be the given straight line , and C the given point in it ...
... divided into two equal parts at the point D. Q.E.F. Ex . The straight line which bisects the vertical angle of an isosceles triangle also bisects the base at right angles . Let AB be the given straight line , and C the given point in it ...
Página 59
... dividing four right angles by the number of sides of the figure ; and if the quotient be subtracted from two right angles the result will be the value of an interior angle . This proposition and its corollaries show what is the value of ...
... dividing four right angles by the number of sides of the figure ; and if the quotient be subtracted from two right angles the result will be the value of an interior angle . This proposition and its corollaries show what is the value of ...
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
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 CBA axioms base BC BC is equal 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 PROPOSITION 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