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Side 69
... circle . If I is one of the points in which this circle meets the line DH , by join- ing EI we obtain a triangle which fulfils the given con- ditions . But several cases may arise . Let the given angle be acute , as in the figure . Then ...
... circle . If I is one of the points in which this circle meets the line DH , by join- ing EI we obtain a triangle which fulfils the given con- ditions . But several cases may arise . Let the given angle be acute , as in the figure . Then ...
Side 70
... circle would meet DH at the foot of the perpendicular , and there would be one triangle , right - angled , which fulfils the given conditions . ( 3 ) If B is greater than the perpendicular but less than DE , then the circle will meet DH ...
... circle would meet DH at the foot of the perpendicular , and there would be one triangle , right - angled , which fulfils the given conditions . ( 3 ) If B is greater than the perpendicular but less than DE , then the circle will meet DH ...
Side 75
... circle round A as centre . Similarly it must be at a certain distance from B ; its locus is therefore another circle round B as centre . The points of intersection of these circles are therefore the vertices of the two equal triangles ...
... circle round A as centre . Similarly it must be at a certain distance from B ; its locus is therefore another circle round B as centre . The points of intersection of these circles are therefore the vertices of the two equal triangles ...
Side 114
... circle is a plane figure contained by one line , which is called the circumference , and is such that all the lines ... circle . This A straight line drawn to the circumference from the centre is called a radius of the circle . A ...
... circle is a plane figure contained by one line , which is called the circumference , and is such that all the lines ... circle . This A straight line drawn to the circumference from the centre is called a radius of the circle . A ...
Side 115
... circle are immediate con- sequences of Book I. Def . 8 : ( a ) A circle has only one centre . ( b ) A point is within , on , or without the circumference of a circle , according as its distance from the centre is less than , equal to ...
... circle are immediate con- sequences of Book I. Def . 8 : ( a ) A circle has only one centre . ( b ) A point is within , on , or without the circumference of a circle , according as its distance from the centre is less than , equal to ...
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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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