Elementary Geometry, Τόμος 2 |
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Σελίδα x
... be similar THEOREM IO . · Similar polygons can be divided into the same number of similar triangles THREE COROLLARIES EXAMPLES PAGE 58 59 бо 61 62 64 65 66 67 68 69 SECTION II . AREAS . THEOREM II . Parallelograms of X CONTENTS .
... be similar THEOREM IO . · Similar polygons can be divided into the same number of similar triangles THREE COROLLARIES EXAMPLES PAGE 58 59 бо 61 62 64 65 66 67 68 69 SECTION II . AREAS . THEOREM II . Parallelograms of X CONTENTS .
Σελίδα xi
... · 78 79 RELATION OF ALGEBRA TO GEOMETRY . Section Examples on the 80 THEOREM 15. Circumferences of circles have to one another the ratio of their radii ONE COROLLARY 85 87 SECTION III . PROBLEMS . PROBLEM I. To divide a CONTENTS . xi.
... · 78 79 RELATION OF ALGEBRA TO GEOMETRY . Section Examples on the 80 THEOREM 15. Circumferences of circles have to one another the ratio of their radii ONE COROLLARY 85 87 SECTION III . PROBLEMS . PROBLEM I. To divide a CONTENTS . xi.
Σελίδα 4
... examples of theorems , and their converse and opposite theorems , and it will be well for him to observe under what ... example , in a circle , ( A ) , angles at the centre , ( B ) which stand on equal arcs , ( C ) , are equal , ( D ) ...
... examples of theorems , and their converse and opposite theorems , and it will be well for him to observe under what ... example , in a circle , ( A ) , angles at the centre , ( B ) which stand on equal arcs , ( C ) , are equal , ( D ) ...
Σελίδα 6
... example : the original theorem , with its first corol- lary , is ( a ) If a line fulfils ( 1 ) and ( 2 ) , it also fulfils ( 3 ) , ( 4 ) and ( 5 ) . Hence ( B ) If a line bisects a chord at right angles ( 1 ) and ( 3 ) , it must pass ...
... example : the original theorem , with its first corol- lary , is ( a ) If a line fulfils ( 1 ) and ( 2 ) , it also fulfils ( 3 ) , ( 4 ) and ( 5 ) . Hence ( B ) If a line bisects a chord at right angles ( 1 ) and ( 3 ) , it must pass ...
Σελίδα 69
... examples of their application . EXAMPLES . Ex . 1. In a right - angled triangle the perpendicular from the right angle on the hypothenuse divides the triangle into two others which are similar to the whole and to one another . Let ACB ...
... examples of their application . EXAMPLES . Ex . 1. In a right - angled triangle the perpendicular from the right angle on the hypothenuse divides the triangle into two others which are similar to the whole and to one another . Let ACB ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Algebra angle AOB angular points ARITHMETIC base bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre circles touch circumference circumscribed cloth common measure common tangents Construction Crown 8vo decagon Describe a circle diameter divided drawn EDUCATIONAL BOOKS ELEMENTARY TREATISE equal arcs equal chords equiangular equilateral triangle Examples Fcap find the locus follows GEOMETRY given circle given line given point given ratio given straight line Hence homologous hypothenuse incommensurable inscribed intersect John's College Join Let ABC LIST OF EDUCATIONAL magnitudes Mathematical mean proportional middle points numerical values parallel parallelograms pass perimeter perpendicular point of contact PROBLEM prove Ptolemy's Theorem quadrilateral figure radii radius rectangle contained regular polygon right angles Schools secant Second Edition segments shew shewn similar triangles SPQR student subtend equal angles tangent THEOREM triangle ABC vertical angle
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