Elementary Geometry, Volumen1Macmillan, 1868 |
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Página xiv
... solution ; the diminution of the number of theorems ; the compression of proofs , especially in the later part of the book ; the tacit , instead of explicit , reference to axioms ; and the treatment of parallels . RUGBY , April 28 ...
... solution ; the diminution of the number of theorems ; the compression of proofs , especially in the later part of the book ; the tacit , instead of explicit , reference to axioms ; and the treatment of parallels . RUGBY , April 28 ...
Página xviii
... solution . 49 SECTION V. PARALLELOGRAMS . THEOREM 21. The opposite angles and sides of a parallelogram are equal , and the diagonal , or the line which joins its opposite angles , bisects it . Exercises on parallelograms 54 55 SECTION ...
... solution . 49 SECTION V. PARALLELOGRAMS . THEOREM 21. The opposite angles and sides of a parallelogram are equal , and the diagonal , or the line which joins its opposite angles , bisects it . Exercises on parallelograms 54 55 SECTION ...
Página 32
... solution of theorems of equality is the following . Examine fully the statement of the question ; see what is included among the data : what lines and angles are given equal . Then see what is required to be proved , what lines or ...
... solution of theorems of equality is the following . Examine fully the statement of the question ; see what is included among the data : what lines and angles are given equal . Then see what is required to be proved , what lines or ...
Página 38
... solution of a problem in Elementary Geometry as above defined consists : ( 1 ) in indicating how the ruler and compasses are to be used in effecting the construction required ; ( 2 ) in proving that the construction so given is correct ...
... solution of a problem in Elementary Geometry as above defined consists : ( 1 ) in indicating how the ruler and compasses are to be used in effecting the construction required ; ( 2 ) in proving that the construction so given is correct ...
Página 46
... solution is ambiguous , that is , there may be more than one triangle which fulfils the given conditions . The following is an important instance of this , and is usually called the ambiguous case , spoken of in Theorem 19 . PROBLEM 9 ...
... solution is ambiguous , that is , there may be more than one triangle which fulfils the given conditions . The following is an important instance of this , and is usually called the ambiguous case , spoken of in Theorem 19 . PROBLEM 9 ...
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Términos y frases comunes
AB² ABCD AC² adjacent angles Algebra angle ABC angle BAC angle OPB AP² BC² BP² BROOKE FOSS WESTCOTT Cambridge Christ's College cloth coincide CONIC SECTIONS construct a triangle construct the triangle corresponding angles CP² Crown 8vo diagonals difference direction Edward Thring ELEMENTARY TREATISE equal angles Euclid Examples EXERCISES exterior angles Fcap follows four right angles Geometry given angle given line given point given straight line greater Hence included angle intersecting isosceles triangle John's College less Let ABC line which joins locus Mathematical meet middle point MIXED MATHEMATICS obtuse angle opposite angles opposite sides parallelogram perpendicular points of bisection problems produced Proof prove quadrilateral rectangle contained rectilineal respectively equal rhombus right angles Schools Second Edition Shew student Theorem 16 three sides triangle ABC triangle are respectively triangles are equal TRIGONOMETRY twice the rectangle unequal vertex whole line
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