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Page 2
... unequal , the greater sum being that which is obtained from the greater magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the greater remainder being that which is obtained from the greater magnitude . ( h ) ...
... unequal , the greater sum being that which is obtained from the greater magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the greater remainder being that which is obtained from the greater magnitude . ( h ) ...
Page 27
... unequal , their bases are unequal , the base of that which has the greater angle being greater than the base of the other ↑ . Part . En . Let ABC , DEF be two triangles , having AB = DE , AC = DF , but the included angle BAC greater ...
... unequal , their bases are unequal , the base of that which has the greater angle being greater than the base of the other ↑ . Part . En . Let ABC , DEF be two triangles , having AB = DE , AC = DF , but the included angle BAC greater ...
Page 35
... unequal to the contained angle D. If AD , as in Fig . 1 , then , by Theorem 5 , the tri- angles are equal in all respects ; and the angle C is equal to the angle F. If A is not equal to D , as in Fig . 2 , let the point A be placed on D ...
... unequal to the contained angle D. If AD , as in Fig . 1 , then , by Theorem 5 , the tri- angles are equal in all respects ; and the angle C is equal to the angle F. If A is not equal to D , as in Fig . 2 , let the point A be placed on D ...
Page 73
... unequal distances from A and B , as may be proved by Theorem 14 , and therefore the line which bisects AB at right angles is the locus of points equi- distant from A and B. iv . The locus of a point equidistant from two intersecting ...
... unequal distances from A and B , as may be proved by Theorem 14 , and therefore the line which bisects AB at right angles is the locus of points equi- distant from A and B. iv . The locus of a point equidistant from two intersecting ...
Page 111
... of the square on AB , the difference of the squares on these two lines will equal the difference of the squares on AC and BC . 54. AB is divided into two unequal parts in Cand II . ] III MISCELLANEOUS THEOREMS , & c .
... of the square on AB , the difference of the squares on these two lines will equal the difference of the squares on AC and BC . 54. AB is divided into two unequal parts in Cand II . ] III MISCELLANEOUS THEOREMS , & c .
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Common terms and phrases
ABē 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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