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Página 4
... less than B , C is less than D. Three such Theorems having been demonstrated geome- trically , the converse of each is always and necessarily true . Rule of Identity . If there is but one A , and but one B ; then from the fact that A is ...
... less than B , C is less than D. Three such Theorems having been demonstrated geome- trically , the converse of each is always and necessarily true . Rule of Identity . If there is but one A , and but one B ; then from the fact that A is ...
Página 9
... . A perpendicular to a straight line is a straight line that makes a right angle with it . Def . 16. An acute angle is that which is less than a right angle . Def . 17. An obtuse angle is that which is BOOK I. ] 9 DEFINITIONS .
... . A perpendicular to a straight line is a straight line that makes a right angle with it . Def . 16. An acute angle is that which is less than a right angle . Def . 17. An obtuse angle is that which is BOOK I. ] 9 DEFINITIONS .
Página 10
... less than two right angles . Def . 18. A reflex angle is a term sometimes used for a major conjugate angle . Def . 19. When the sum of two angles is a right angle , each is called the complement of the other , or is said to be ...
... less than two right angles . Def . 18. A reflex angle is a term sometimes used for a major conjugate angle . Def . 19. When the sum of two angles is a right angle , each is called the complement of the other , or is said to be ...
Página 15
... less ; find what fraction the less is of four right angles . 6. Twelve lines meet at a point so as to form a regular twelve - rayed star : find the angle between consecutive rays . * Eucl . I. 15 . Eucl . 1. 15. Cor . 7. If four ...
... less ; find what fraction the less is of four right angles . 6. Twelve lines meet at a point so as to form a regular twelve - rayed star : find the angle between consecutive rays . * Eucl . I. 15 . Eucl . 1. 15. Cor . 7. If four ...
Página 24
... that the side AC B is greater than the side AB . C Proof . For AC must be either equal to AB , or less than AB , or greater than AB . * Euclid , I. 18 . But AC is not equal to AB , for then 24 [ BOOK I. ELEMENTARY GEOMETRY .
... that the side AC B is greater than the side AB . C Proof . For AC must be either equal to AB , or less than AB , or greater than AB . * Euclid , I. 18 . But AC is not equal to AB , for then 24 [ BOOK I. ELEMENTARY GEOMETRY .
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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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