A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 41
... perpendicular is shorter than any other line which can be drawn from a given point to a given line . 2. Any point is taken in the side of a square . Show that the sum of its distances from the four angles is less than the perimeter of ...
... perpendicular is shorter than any other line which can be drawn from a given point to a given line . 2. Any point is taken in the side of a square . Show that the sum of its distances from the four angles is less than the perimeter of ...
Página 99
... perpendicular be drawn from either of the acute angles to the opposite side pro- duced , the square on the side ... perpendicular falls , and the staight line intercepted without the triangle , between the perpendicular and the obtuse ...
... perpendicular be drawn from either of the acute angles to the opposite side pro- duced , the square on the side ... perpendicular falls , and the staight line intercepted without the triangle , between the perpendicular and the obtuse ...
Página 100
... perpendicular let fall on it from the opposite angle , and the acute angle . Let ABC be any triangle , and the angle at B 1 , 2 . an acute angle ; and on BC one of the sides containing it , let fall the perpendicular AD from the ...
... perpendicular let fall on it from the opposite angle , and the acute angle . Let ABC be any triangle , and the angle at B 1 , 2 . an acute angle ; and on BC one of the sides containing it , let fall the perpendicular AD from the ...
Página 101
... perpendicular from B upon AC meeting AC in E , and show that the rectangle AC , CE is equal to the rectangle BC , CD . PROPOSITION 14. PROBLEM . To describe a square that shall be equal to a given rec- tilineal figure . 1 . to A. Let A ...
... perpendicular from B upon AC meeting AC in E , and show that the rectangle AC , CE is equal to the rectangle BC , CD . PROPOSITION 14. PROBLEM . To describe a square that shall be equal to a given rec- tilineal figure . 1 . to A. Let A ...
Página 105
... perpendicular to the bisecting line and meeting AB , 40 in R and O. POR is the line required . 2. To bisect a quadrilateral by a straight line drawn through one of its angular points . Let ABCD be the quadrilateral , and suppose AE ...
... perpendicular to the bisecting line and meeting AB , 40 in R and O. POR is the line required . 2. To bisect a quadrilateral by a straight line drawn through one of its angular points . Let ABCD be the quadrilateral , and suppose AE ...
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
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal