The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 9
... equal , is a proposition that admits of being proved . THE NAMING OF ANGLES . An angle is named either by a letter ... respectively . * In reading these three letters , that letter is always placed between the other two which is at ...
... equal , is a proposition that admits of being proved . THE NAMING OF ANGLES . An angle is named either by a letter ... respectively . * In reading these three letters , that letter is always placed between the other two which is at ...
Page 21
... equal , being radii of the same circle ( Def . XIV . ) ; and as A E and CD are equal , A F and CD are both equal to ... respectively . Thus , in the following As , the sides A B and B C are of the same length respectively in each ...
... equal , being radii of the same circle ( Def . XIV . ) ; and as A E and CD are equal , A F and CD are both equal to ... respectively . Thus , in the following As , the sides A B and B C are of the same length respectively in each ...
Page 24
... equal to the side DE ; that the CAB is equal to the FDE ; that the CBA is equal to the FED ; and that the As are equal in area . Instead of first placing the line AC on the line DF ... equal respectively to 24 THE FIRST BOOK OF EUCLID.
... equal to the side DE ; that the CAB is equal to the FDE ; that the CBA is equal to the FED ; and that the As are equal in area . Instead of first placing the line AC on the line DF ... equal respectively to 24 THE FIRST BOOK OF EUCLID.
Page 25
... equal respectively to FD and DE , and the CAB to the FDE . By altering the position of the letters to the following , the proof remains word for word the same : - B E C A F D Then let As of a different shape be employed , and dif ...
... equal respectively to FD and DE , and the CAB to the FDE . By altering the position of the letters to the following , the proof remains word for word the same : - B E C A F D Then let As of a different shape be employed , and dif ...
Page 27
... respectively by parallel lines ) , which overlap each other ( where the lines of shading cross ) . To prove that the angles B A L and BCF are equal to each other , it is necessary to show that the triangles F BAL and BCF are equal to ...
... respectively by parallel lines ) , which overlap each other ( where the lines of shading cross ) . To prove that the angles B A L and BCF are equal to each other , it is necessary to show that the triangles F BAL and BCF are equal to ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides No preview available - 2016 |
Common terms and phrases
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
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