A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 15
... triangle is that which has three equal sides . 25. An isosceles triangle is that which has only two sides equal . 26. A scalene triangle is that which has three unequal sides . 27. A right - angled triangle is that which has DEFINITIONS .
... triangle is that which has three equal sides . 25. An isosceles triangle is that which has only two sides equal . 26. A scalene triangle is that which has three unequal sides . 27. A right - angled triangle is that which has DEFINITIONS .
Página 23
... triangle ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one ... isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the ...
... triangle ABC coincides with the whole triangle DEF , and is equal to it . [ Ax . 8 ] And the other angles of the one ... isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the ...
Página 30
... equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A the two triangles DAF , EAF , the two sides DA , AF are equal to the two ...
... equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A the two triangles DAF , EAF , the two sides DA , AF are equal to the two ...
Página 31
... isosceles triangle also bisects the base at right angles . PROPOSITION 11 . PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be 1. the given straight line , and C the ...
... isosceles triangle also bisects the base at right angles . PROPOSITION 11 . PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be 1. the given straight line , and C the ...
Página 39
... isosceles triangle must be both acute . PROPOSITION 18. THEOREM . The greater side of every triangle is opposite to the greater angle . 1 . Let ABC be a triangle , of which the side AC is greater than the side AB : the angle ABC is also ...
... isosceles triangle must be both acute . PROPOSITION 18. THEOREM . The greater side of every triangle is opposite to the greater angle . 1 . Let ABC be a triangle , of which the side AC is greater than the side AB : the angle ABC is also ...
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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