A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página viii
... less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a man triumphing over difficulties and bringing the greatest possible number of truths in his subject within the ...
... less . The gain of such a system , whatever may be the value of it , lies in the mental satisfaction we derive from seeing a man triumphing over difficulties and bringing the greatest possible number of truths in his subject within the ...
Página 14
... less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained by one line , which is called the circumference ...
... less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained by one line , which is called the circumference ...
Página 21
... less . Let AB and C be the two given straight lines , of which AB is the greater . It is required to cut off from AB , the greater , a part equal to Ɑ the less . From the point 2. A draw the straight line AD equal to C ; [ I. 2. ] and ...
... less . Let AB and C be the two given straight lines , of which AB is the greater . It is required to cut off from AB , the greater , a part equal to Ɑ the less . From the point 2. A draw the straight line AD equal to C ; [ I. 2. ] and ...
Página 24
... less , [ .3 . ] and join FC , GB . Because A Fis equal 3. to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are equal to the two sides GA , AB , each to each ; and they contain the angle FAG common to the two triangles ...
... less , [ .3 . ] and join FC , GB . Because A Fis equal 3. to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are equal to the two sides GA , AB , each to each ; and they contain the angle FAG common to the two triangles ...
Página 25
... less , [ I. 3. ] and join DC . B 3 . Then , because in the triangles DBC , ACB , DB is equal to AC , [ Con . ] and BC is common to both , the two sides DB , BC are equal to the two sides AC , CB , each to each ; and the BOOK I. 6 . 25.
... less , [ I. 3. ] and join DC . B 3 . Then , because in the triangles DBC , ACB , DB is equal to AC , [ Con . ] and BC is common to both , the two sides DB , BC are equal to the two sides AC , CB , each to each ; and the BOOK I. 6 . 25.
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