A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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A segment of a circle is the figure contained by a straight line and the circumference which its cuts off . 20. Rectilineal figures are those which are contained by straight lines . 21. Trilateral figures , or triangles , by three ...
A segment of a circle is the figure contained by a straight line and the circumference which its cuts off . 20. Rectilineal figures are those which are contained by straight lines . 21. Trilateral figures , or triangles , by three ...
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To bisect a given rectilineal angle , that is to divide it into two equal angles . Let BAC be the given recti- . A 1 . lineal angle . ... The restriction introduced insures that F shall fall within BAC as in the figure .
To bisect a given rectilineal angle , that is to divide it into two equal angles . Let BAC be the given recti- . A 1 . lineal angle . ... The restriction introduced insures that F shall fall within BAC as in the figure .
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COROLLARY I. All the exterior angles of any rectilineal figure are together equal to four right angles . Let ABCD be any rectilineal figure having the 1 . exterior angles A , B , C , D , these shall be together equal to four right ...
COROLLARY I. All the exterior angles of any rectilineal figure are together equal to four right angles . Let ABCD be any rectilineal figure having the 1 . exterior angles A , B , C , D , these shall be together equal to four right ...
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All the interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides . For any interior angle ABD , together with its 3 . adjacent exterior angle DBC is equal ...
All the interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides . For any interior angle ABD , together with its 3 . adjacent exterior angle DBC is equal ...
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To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and 1 . E the given rectilineal angle : it is required to describe a ...
To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and 1 . E the given rectilineal angle : it is required to describe a ...
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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
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole