A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1 |
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Seite i
Henry Sinclair Hall, Frederick Haller Stevens. QA 45 / Him 15oo Jawaharlal Nehre A TEXT - BOOK OF EUCLID'S ELEMENTS BOOKS I.-IV. KO OF EUCLID'S ELEMENTS FOR THE USE OF SCHOOLS BOOKS.
Henry Sinclair Hall, Frederick Haller Stevens. QA 45 / Him 15oo Jawaharlal Nehre A TEXT - BOOK OF EUCLID'S ELEMENTS BOOKS I.-IV. KO OF EUCLID'S ELEMENTS FOR THE USE OF SCHOOLS BOOKS.
Seite v
-29-39 Aenu > This volume is part of a complete edition of Euclid's Elements , as usually read at schools . The text has been carefully revised , and special attention given to those points which experience has shown to present ...
-29-39 Aenu > This volume is part of a complete edition of Euclid's Elements , as usually read at schools . The text has been carefully revised , and special attention given to those points which experience has shown to present ...
Seite vii
... to a large majority of students , Euclid is intended to serve not so much as a first lesson in mathematical reasoning , as the first , and sometimes the only , model of formal argument presented in an elementary education .
... to a large majority of students , Euclid is intended to serve not so much as a first lesson in mathematical reasoning , as the first , and sometimes the only , model of formal argument presented in an elementary education .
Seite viii
We hope that the additional matter introduced into the book will provide sufficient exercise for pupils whose study of Euclid is preliminary to a mathematical education . The questions distributed through the text follow very easily ...
We hope that the additional matter introduced into the book will provide sufficient exercise for pupils whose study of Euclid is preliminary to a mathematical education . The questions distributed through the text follow very easily ...
Seite xii
I. ON THE TRIANGLE AND ITS CIRCLES . Circumscribed , Inscribed , and Escribed Circles , The Nine - Points Circle II . MISCELLANEOUS EXAMPLES 297 303 APPENDIX . i I. ON POLE AND POLAR II . ON THE RADICAL Axis . V EUCLID'S ELEMENTS .
I. ON THE TRIANGLE AND ITS CIRCLES . Circumscribed , Inscribed , and Escribed Circles , The Nine - Points Circle II . MISCELLANEOUS EXAMPLES 297 303 APPENDIX . i I. ON POLE AND POLAR II . ON THE RADICAL Axis . V EUCLID'S ELEMENTS .
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Häufige Begriffe und Wortgruppen
ABCD base bisected bisectors Book called centre chord circumference circumscribed coincide common Constr Construction describe Describe a circle diagonal diameter difference divided double draw drawn equal equilateral Euclid's EXERCISES exterior angle external extremities figure find the locus fixed formed four given circle given point given straight line greater half Hence impossible inches inscribed intersect isosceles triangle Join length less Let ABC meet middle point NOTE opposite sides parallel parallelogram pass perp point of contact PROBLEM produced Proof Prop PROPOSITION prove quadrilateral radius rect rectangle contained regular remaining respectively right angles segment shew shewn sides Similarly square straight line drawn tangent THEOREM third touch triangle ABC twice vertex vertical angle whole
Beliebte Passagen
Seite 42 - Any two sides of a triangle are together greater than the third side.
Seite 162 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Seite 162 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square...
Seite 291 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Seite 65 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Seite 68 - And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax.
Seite 143 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Seite 8 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Seite 79 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Seite 242 - We may here notice that the perpendiculars from the vertices of a triangle to the opposite sides are concurrent; their meet is called the orthocentre, and the triangle obtained by joining the feet of the perpendiculars is called the pedal triangle.
Bibliografische Informationen
| Titel | A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1 |
| Autoren | Henry Sinclair Hall, Frederick Haller Stevens |
| Verlag | Macmillan and Company, limited, 1900 |
| Original von | University of Michigan |
| Digitalisiert | 21. Juni 2007 |
| Länge | 304 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |