The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 6
... able to construct any required figure , such as a parallelogram , or an equilateral triangle , or to make one line perpendicular to another , without the aid of any sim- pler processes ; that is to say , we might at once imagine any ...
... able to construct any required figure , such as a parallelogram , or an equilateral triangle , or to make one line perpendicular to another , without the aid of any sim- pler processes ; that is to say , we might at once imagine any ...
Page 11
... able to say where that other end will fall , but we must not use language implying that we can make it fall where we choose . Suppose that there are two s of the same size , * * Let it not be forgotten that the size of the s in no way ...
... able to say where that other end will fall , but we must not use language implying that we can make it fall where we choose . Suppose that there are two s of the same size , * * Let it not be forgotten that the size of the s in no way ...
Page 16
... a given finite straight line . * Two points are said to be joined by a right line when a right line is drawn from one to the other . For the construction in this proposition we must be able- 16 THE FIRST BOOK OF EUCLID.
... a given finite straight line . * Two points are said to be joined by a right line when a right line is drawn from one to the other . For the construction in this proposition we must be able- 16 THE FIRST BOOK OF EUCLID.
Page 17
Euclid, Charles Peter Mason. For the construction in this proposition we must be able- 1. To join two given points by a right line . ( Post . I. ) 2. To produce a given right line to any length . ( Post . II . ) 3. To describe a circle ...
Euclid, Charles Peter Mason. For the construction in this proposition we must be able- 1. To join two given points by a right line . ( Post . I. ) 2. To produce a given right line to any length . ( Post . II . ) 3. To describe a circle ...
Page 20
... able , - 1. From a given point to draw a straight line equal to a given straight line . ( Prop . II . ) 2. With a given centre , and at a given distance from that centre , to describe a circle . ( Post . III . ) To prove that the ...
... able , - 1. From a given point to draw a straight line equal to a given straight line . ( Prop . II . ) 2. With a given centre , and at a given distance from that centre , to describe a circle . ( Post . III . ) To prove that the ...
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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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