The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 8
... , in the proof of which we have to make use of the truth that two equal straight lines will coincide throughout their entire length . two figures must intersect one another in two points at 8 THE FIRST BOOK OF EUCLID.
... , in the proof of which we have to make use of the truth that two equal straight lines will coincide throughout their entire length . two figures must intersect one another in two points at 8 THE FIRST BOOK OF EUCLID.
Page 9
Euclid, Charles Peter Mason. two figures must intersect one another in two points at least . That all right angles are equal , is a proposition that admits of being proved . THE NAMING OF ANGLES . An angle is named either by a letter ...
Euclid, Charles Peter Mason. two figures must intersect one another in two points at least . That all right angles are equal , is a proposition that admits of being proved . THE NAMING OF ANGLES . An angle is named either by a letter ...
Page 15
... intersect one another in two points at least . 5. Definition F. All radii of the same circle are equal to one another . Let A B be the given finite right line . With the centre A , and at the distance A B , describe the circle C BE ...
... intersect one another in two points at least . 5. Definition F. All radii of the same circle are equal to one another . Let A B be the given finite right line . With the centre A , and at the distance A B , describe the circle C BE ...
Page 43
... intersecting A B in the point D. A B is bisected at the point D. A E B For if we suppose the ACBE to be applied to the △ CAE in such a manner that , C E remaining common to the two As , CB and BE may lie on the same side of EC as CA ...
... intersecting A B in the point D. A B is bisected at the point D. A E B For if we suppose the ACBE to be applied to the △ CAE in such a manner that , C E remaining common to the two As , CB and BE may lie on the same side of EC as CA ...
Page 50
... intersecting in the point E. We have to prove -D that the AED is equal to the A E B ZCE B , and the AE C to the DEB . Proof . A E is a straight line meeting the line C D in the point E , and forming adjacents A E C and A E D ...
... intersecting in the point E. We have to prove -D that the AED is equal to the A E B ZCE B , and the AE C to the DEB . Proof . A E is a straight line meeting the line C D in the point E , and forming adjacents A E C and A E D ...
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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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