Euclidian Geometry |
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Side 5
The angles at the base of an isosceles triangle are equal ; and if the equal sides
be produced , the angles on the other side of the base shall be equal . Let ABC
be an isosceles A , having the side AB = the side AC , then shall the < ABC be ...
The angles at the base of an isosceles triangle are equal ; and if the equal sides
be produced , the angles on the other side of the base shall be equal . Let ABC
be an isosceles A , having the side AB = the side AC , then shall the < ABC be ...
Side 28
If two triangles have two sides of the one equal to two sides of the other ; but the
angle contained by the two sides of one of them greater than the angle contained
by the two sides of the other ; then shall the base of that which has the greater ...
If two triangles have two sides of the one equal to two sides of the other ; but the
angle contained by the two sides of one of them greater than the angle contained
by the two sides of the other ; then shall the base of that which has the greater ...
Side 29
If two triangles have two sides of the one equal to two sides of the other , but the
base of one greater than the base of the other ; then the angle contained by the
sides of that triangle which has the greater base shall be greater than the angle ...
If two triangles have two sides of the one equal to two sides of the other , but the
base of one greater than the base of the other ; then the angle contained by the
sides of that triangle which has the greater base shall be greater than the angle ...
Side 51
... BAH is a right 2 ; . . . all the zs of A K are right Zs ; ( 1 . 27 ) AK is both
equilateral and rectangular , and is . . a square . . . the AREAS . PROPOSITION
XXXI . Parallelograms on the same base 4 - 2 QUADRILATERALS AND
MULTILATERALS .
... BAH is a right 2 ; . . . all the zs of A K are right Zs ; ( 1 . 27 ) AK is both
equilateral and rectangular , and is . . a square . . . the AREAS . PROPOSITION
XXXI . Parallelograms on the same base 4 - 2 QUADRILATERALS AND
MULTILATERALS .
Side 52
Parallelograms on the same base and between the same parallels are equal .
A E D F B в Let the Os ABCD , EBCF be on the same base BC , and between the
same parallels AF , BC . Then shall the O ABCD be = the O EBCF . . . : AC is a D ,
.
Parallelograms on the same base and between the same parallels are equal .
A E D F B в Let the Os ABCD , EBCF be on the same base BC , and between the
same parallels AF , BC . Then shall the O ABCD be = the O EBCF . . . : AC is a D ,
.
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base bisect Cambridge centre chapter chord circle circumference cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole
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