## Elementary geometry |

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Resultat 1-5 av 38

Side 17

Shew how to find the sum and

their sum and

lines . II . Given the sum and

the ...

Shew how to find the sum and

**difference**of two straight lines : and prove thattheir sum and

**difference**together are double of the greater of the two straightlines . II . Given the sum and

**difference**of two straight lines ; find the lengths ofthe ...

Side 25

... therefore the angle ACD is greater than the angle ADC ; and therefore AD is

greater than AC . ( Th . 11 . ) But AD is equal to AB and BC together , therefore AB

and BC are together greater than AC + . Q . E . D . . CoR . The

... therefore the angle ACD is greater than the angle ADC ; and therefore AD is

greater than AC . ( Th . 11 . ) But AD is equal to AB and BC together , therefore AB

and BC are together greater than AC + . Q . E . D . . CoR . The

**difference**of any ... Side 77

Given base ,

triangle . 9 . Find a point at a given distance from the circumference of two given

circles , the distances being measured along their radii or their radii produced .

Given base ,

**difference**of sides , and one of the angles at the base , construct thetriangle . 9 . Find a point at a given distance from the circumference of two given

circles , the distances being measured along their radii or their radii produced .

Side 82

Obs . It follows from the General Axioms ( d ) and ( e ) ( page 1 ) , as an extension

of the Geometrical Axiom 1 ( page 11 ) , that magnitudes which are either the sum

or the

Obs . It follows from the General Axioms ( d ) and ( e ) ( page 1 ) , as an extension

of the Geometrical Axiom 1 ( page 11 ) , that magnitudes which are either the sum

or the

**difference**of identically equal magnitudes are equal , although they may ... Side 87

Obs . A straight line is equal to the sum or

it is divided internally or externally . THEOREM 5 . The rectangle contained by

two given lines is equal to the sum of the rectangles contained by one of them

and ...

Obs . A straight line is equal to the sum or

**difference**of its segments according asit is divided internally or externally . THEOREM 5 . The rectangle contained by

two given lines is equal to the sum of the rectangles contained by one of them

and ...

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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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