Elementary Geometry, Τόμος 2 |
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Σελίδα ix
... magnitudes such that B and D always contain the same aliquot part of A and C respec- tively the same number of times , however great the number of parts into which A and C are divided , then A : B :: C : D. FIVE COROLLARIES PAGE 45 46 ...
... magnitudes such that B and D always contain the same aliquot part of A and C respec- tively the same number of times , however great the number of parts into which A and C are divided , then A : B :: C : D. FIVE COROLLARIES PAGE 45 46 ...
Σελίδα 12
... magnitude ; when it reaches the position OB it has described an angle equal to two right angles ; and in the position OQ it has described an angle greater than two right angles . There are thus two angles AOQ 12 ELEMENTARY GEOMETRY .
... magnitude ; when it reaches the position OB it has described an angle equal to two right angles ; and in the position OQ it has described an angle greater than two right angles . There are thus two angles AOQ 12 ELEMENTARY GEOMETRY .
Σελίδα 45
... magnitude which it measures . The length of a line , the extent of an area , or any other magnitude , is completely known when we know a measure of it , and how many times it contains that measure . In measuring any magnitude we take ...
... magnitude which it measures . The length of a line , the extent of an area , or any other magnitude , is completely known when we know a measure of it , and how many times it contains that measure . In measuring any magnitude we take ...
Σελίδα 46
... magnitudes of the same kind are said to have a common measure when there exists a unit of which they can both be ... magnitudes , if any com- mon measure exists . PROBLEM . To find the greatest common measure of two magnitudes , if they ...
... magnitudes of the same kind are said to have a common measure when there exists a unit of which they can both be ... magnitudes , if any com- mon measure exists . PROBLEM . To find the greatest common measure of two magnitudes , if they ...
Σελίδα 47
... magnitudes have a common measure they are called commensurable . But it is very frequently the case in Geometrical figures , that lines and other magnitudes have no common measure ; the process above given continuing indefinitely ; the ...
... magnitudes have a common measure they are called commensurable . But it is very frequently the case in Geometrical figures , that lines and other magnitudes have no common measure ; the process above given continuing indefinitely ; the ...
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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
Δημοφιλή αποσπάσματα
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