The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Resultat 1-5 av 11
Side 56
... divided into as many triangles OAB , OBC , & c . , as the polygon has sides , I. 25 . and in each triangle the angles are together equal to two right angles , therefore all the angles of all the triangles are together equal to twice as ...
... divided into as many triangles OAB , OBC , & c . , as the polygon has sides , I. 25 . and in each triangle the angles are together equal to two right angles , therefore all the angles of all the triangles are together equal to twice as ...
Side 108
... divided internally or externally . THEOR . 5. The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . Let AB , CD be the two given ...
... divided internally or externally . THEOR . 5. The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . Let AB , CD be the two given ...
Side 109
... equal to CG , and therefore to AB . Hence the rectangle contained by AB and CD is equal to the sum of the rectangles contained by AB and CE , AB and EF , AB and FD . Q.E.D. COR . 1. If a straight line is divided into EQUALITY OF AREAS .
... equal to CG , and therefore to AB . Hence the rectangle contained by AB and CD is equal to the sum of the rectangles contained by AB and CE , AB and EF , AB and FD . Q.E.D. COR . 1. If a straight line is divided into EQUALITY OF AREAS .
Side 110
... divided . COR . 2. If a straight line is divided into two parts , the square on the whole line is equal to the sum of the rectangles contained by the whole line and each of the parts . This follows from Theor . 5 by taking the two lines ...
... divided . COR . 2. If a straight line is divided into two parts , the square on the whole line is equal to the sum of the rectangles contained by the whole line and each of the parts . This follows from Theor . 5 by taking the two lines ...
Side 112
... divided internally into two segments , is greater than the sum of the squares on the segments by twice the rectangle contained by them . Ex . 14. Give the algebraical formula corresponding to Theor . 6 . Ex . 15. If a straight line is ...
... divided internally into two segments , is greater than the sum of the squares on the segments by twice the rectangle contained by them . Ex . 14. Give the algebraical formula corresponding to Theor . 6 . Ex . 15. If a straight line is ...
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The Elements of Plane Geometry Association for the Improvement of Geometrical Teaching Uten tilgangsbegrensning - 1903 |
Vanlige uttrykk og setninger
AB is equal ABCD AC is equal adjacent angles adjoining sides alternate angle angle ABC angle ACB angle AFG angle BAC angle CAB angle DEF angle EDF angle FGD angles are equal angles equal BA and AC base BC bisectors bisects centre circle cutting Constr construct a triangle contrapositive diagonal equal angles equal to AC exterior angle find the locus Geometry given angle given point given straight line greater Hence hypotenuse identically equal interior opposite angle isosceles triangle less Let ABC meet middle point obtuse angle opposite sides parallel straight lines parallelogram perpendicular point equidistant Prob produced quadrilateral radius rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC side DF sides equal square on AC squares on AB straight angle straight line drawn Theorem trapezium triangle ABC triangle DEF triangles are identically twice the rectangle vertex
Populære avsnitt
Side 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 70 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 101 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 35 - Any two sides of a triangle are together greater than the third side.
Side 26 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Side 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius.
Side 42 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 110 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.