Elementary Geometry, Volumen1Macmillan, 1868 |
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Página xv
... equal to one another THEOREM 5. If two lines are respectively parallel to two other lines , the angles made by the first pair will be equal or supplementary to the angles made by the second pair ; equal , if both are taken in the same ...
... equal to one another THEOREM 5. If two lines are respectively parallel to two other lines , the angles made by the first pair will be equal or supplementary to the angles made by the second pair ; equal , if both are taken in the same ...
Página xvi
... equal corresponding angles , these two lines will be parallel THEOREM 7. The exterior angles of any convex polygon , made by producing the sides in succession , are together equal to four right angles . Exercises on parallels . PAGE 15 ...
... equal corresponding angles , these two lines will be parallel THEOREM 7. The exterior angles of any convex polygon , made by producing the sides in succession , are together equal to four right angles . Exercises on parallels . PAGE 15 ...
Página xvii
... equal THEOREM 16. If two angles and a side of one triangle are re- spectively equal to two angles and the corresponding side of another triangle , these triangles will be equal in all respects THEOREM 17. If two sides and the included ...
... equal THEOREM 16. If two angles and a side of one triangle are re- spectively equal to two angles and the corresponding side of another triangle , these triangles will be equal in all respects THEOREM 17. If two sides and the included ...
Página xviii
... equal parts PROBLEM 2. To bisect a given straight line PROBLEM 3. To draw a perpendicular to a given straight line from a given point in it . PROBLEM 4. To draw a perpendicular to a given straight line from a given point without it ...
... equal parts PROBLEM 2. To bisect a given straight line PROBLEM 3. To draw a perpendicular to a given straight line from a given point in it . PROBLEM 4. To draw a perpendicular to a given straight line from a given point without it ...
Página xix
... equal bases will be of equal altitude • THEOREM 25. If a straight line is divided into any two parts , the square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained by the parts PAGE 56 ...
... equal bases will be of equal altitude • THEOREM 25. If a straight line is divided into any two parts , the square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained by the parts PAGE 56 ...
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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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