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Page xvi
... given to the notion of direction as the property of a straight line ; the intermixing of exercises , classified according to the methods adopted for their solution ; the diminution of the number of theorems ; the compression of proofs ...
... given to the notion of direction as the property of a straight line ; the intermixing of exercises , classified according to the methods adopted for their solution ; the diminution of the number of theorems ; the compression of proofs ...
Page xix
James Maurice Wilson. THEOREM 12. Of all the straight lines that can be drawn from a given point to meet a given straight line , the shortest will be the perpendicular ; and of the others , that which is further from the perpendicular ...
James Maurice Wilson. THEOREM 12. Of all the straight lines that can be drawn from a given point to meet a given straight line , the shortest will be the perpendicular ; and of the others , that which is further from the perpendicular ...
Page xx
... line which joins its opposite angles , will bisect it . Two Corollaries . PAGE · 29 SECTION V. PROBLEMS OF CONSTRUCTION . 30 37 PROBLEM I. To bisect a given ... given straight line from a given point in it 41 PROBLEM 3. To bisect a given ...
... line which joins its opposite angles , will bisect it . Two Corollaries . PAGE · 29 SECTION V. PROBLEMS OF CONSTRUCTION . 30 37 PROBLEM I. To bisect a given ... given straight line from a given point in it 41 PROBLEM 3. To bisect a given ...
Page xxi
... given two angles and a side adjacent to both PROBLEM 7. Having given two angles and a side opposite to one of them ... line is divided internally in any point , the square on the line will be equal to the squares on the two segments ...
... given two angles and a side adjacent to both PROBLEM 7. Having given two angles and a side opposite to one of them ... line is divided internally in any point , the square on the line will be equal to the squares on the two segments ...
Page xxiv
... given straight line sub- tends a constant angle is an arc of a circle . COR . 6. In equal circles equal angles at the circumferences stand upon equal arcs , and conversely Exercises . 95 • 95 165 • 96 • 97 SECTION III . THE TANGENT AND ...
... given straight line sub- tends a constant angle is an arc of a circle . COR . 6. In equal circles equal angles at the circumferences stand upon equal arcs , and conversely Exercises . 95 • 95 165 • 96 • 97 SECTION III . THE TANGENT AND ...
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Common terms and phrases
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
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