## Elementary geometry |

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Resultat 6-10 av 48

Side 59

16 " , find the

prove that it must be a right angle . 6 . Isosceles triangles having equal vertical

angles must have equal base angles . SECTION IV . PROBLEMS . In the Science

of ...

16 " , find the

**third**angle . 5 . If one angle of a triangle is equal to the other two ,prove that it must be a right angle . 6 . Isosceles triangles having equal vertical

angles must have equal base angles . SECTION IV . PROBLEMS . In the Science

of ...

Side 65

It is necessary that any two of the lines A , B , C should be together greater than

the

obviously not meet ; and if they were together equal to A , the point R would be ...

It is necessary that any two of the lines A , B , C should be together greater than

the

**third**. For if B and C were together less than A , the circles in the figure wouldobviously not meet ; and if they were together equal to A , the point R would be ...

Side 67

6 ) , then KGE will equal the

angles of B a triangle is equal to two right angles ( Th . 25 ) . At C and D make

angles equal to HGK and KGE , and let their sides meet in 0 ; then OCD is the ...

6 ) , then KGE will equal the

**third**angle of the triangle , since the sum of the threeangles of B a triangle is equal to two right angles ( Th . 25 ) . At C and D make

angles equal to HGK and KGE , and let their sides meet in 0 ; then OCD is the ...

Side 76

So in the case given , it will not be difficult to see that the circles would not

intersect unless any two of the given sides were greater than the

These conditions among the data for the possibility or impossibility of a solution

should ...

So in the case given , it will not be difficult to see that the circles would not

intersect unless any two of the given sides were greater than the

**third**side .These conditions among the data for the possibility or impossibility of a solution

should ...

Side 108

Shew that the triangle A ' B ' C ' is one -

points on the circumference of a circle , A any point not the centre of the circle .

Shew that of the lines AB , AC , AD . . . not more than two can be equal . . 23 .

Shew that the triangle A ' B ' C ' is one -

**third**of the triangle ABC . 22 . BCD . . . arepoints on the circumference of a circle , A any point not the centre of the circle .

Shew that of the lines AB , AC , AD . . . not more than two can be equal . . 23 .

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ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given line given point given straight line greater half Hence Illustrations inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

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