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Side 2
... Theorem is the formal statement of a proposition that may be demonstrated from known propositions . These known propositions may themselves be Theorems or Axioms . The two next pages , within brackets , may be omitted the first time of ...
... Theorem is the formal statement of a proposition that may be demonstrated from known propositions . These known propositions may themselves be Theorems or Axioms . The two next pages , within brackets , may be omitted the first time of ...
Side 3
... Theorem ( i ) . The contrapositive of the last Theorem , viz . : If A is not B , then C is not D , ( iv ) is termed the obverse of the typical Theorem ( i ) . Sometimes the hypothesis of a Theorem is complex , i.e. consists of several ...
... Theorem ( i ) . The contrapositive of the last Theorem , viz . : If A is not B , then C is not D , ( iv ) is termed the obverse of the typical Theorem ( i ) . Sometimes the hypothesis of a Theorem is complex , i.e. consists of several ...
Side 4
... Theorem and its obverse have been demon- strated , and the validity of the rule in this instance is obvious from the circumstance that the converse of each of two such Theorems is the contrapositive of the other . Another example , of ...
... Theorem and its obverse have been demon- strated , and the validity of the rule in this instance is obvious from the circumstance that the converse of each of two such Theorems is the contrapositive of the other . Another example , of ...
Side 5
... theorem to mark that the truth of the theorem has been proved . The parts of a Theorem are the general enunciation of the hypothesis and the fact to be proved , or statement in general language ; the particular enunciation , or ...
... theorem to mark that the truth of the theorem has been proved . The parts of a Theorem are the general enunciation of the hypothesis and the fact to be proved , or statement in general language ; the particular enunciation , or ...
Side 6
... theorems arranged in a long chain until questions such as those above mentioned can be solved . Every theorem therefore may be shewn to be a means of indirectly measuring some magnitude . In theorem 4 , for example , it is proved that ...
... theorems arranged in a long chain until questions such as those above mentioned can be solved . Every theorem therefore may be shewn to be a means of indirectly measuring some magnitude . In theorem 4 , for example , it is proved that ...
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Vanlige uttrykk og setninger
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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