## Elementary geometry |

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Resultat 1-5 av 41

Side 2

... the hypothesis , or that which is assumed , and the conclusion , or that which is asserted to

... the hypothesis , or that which is assumed , and the conclusion , or that which is asserted to

**follow**therefrom . ... and the conclusion , that C is D. From the truth conveyed in this Theorem it necessarily**follows**: If C is not D ... Side 3

Thus , supposing it were true that if a man is a Spaniard his hair is black ; it does not

Thus , supposing it were true that if a man is a Spaniard his hair is black ; it does not

**follow**that if a man's hair is black he is therefore a Spaniard : for he might be a Turk or of any other nation . Hence the four associated ... Side 4

If there is but one A , and but one B ; then from the fact that A is B it necessarily

If there is but one A , and but one B ; then from the fact that A is B it necessarily

**follows**that B is A. This is an important axiom in geometrical reasoning . De Morgan used to illustrate it by the following example :Suppose that in a ... Side 6

The theorems are results which

The theorems are results which

**follow**from the axioms , and , in their turn , will serve as the foundations for fresh theorems arranged in a long chain until questions such as those above mentioned can be solved . Side 8

An angle is a simple concept incapable of definition , properly so called , but the nature of the concept may be explained as

An angle is a simple concept incapable of definition , properly so called , but the nature of the concept may be explained as

**follows**, and for convenience of reference it may be reckoned among the definitions .### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

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 draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given point given straight line greater half Hence Illustrations included 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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