The elements of plane geometry, Volum 1 |
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Resultat 1-5 av 14
Side 13
... four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are in- dependent of one another , and two others that are always and necessarily true if the former are true ; consequently it will never be ...
... four associated Theorems ( i ) ( ii ) ( iii ) ( iv ) resolve themselves into two Theorems that are in- dependent of one another , and two others that are always and necessarily true if the former are true ; consequently it will never be ...
Side 21
... four right angles . Ex . 1. If two straight lines intersect , and one of the four angles so formed is a right angle , shew that the other three angles are also right angles . * Ex . 2. The bisectors of the adjacent angles which one ...
... four right angles . Ex . 1. If two straight lines intersect , and one of the four angles so formed is a right angle , shew that the other three angles are also right angles . * Ex . 2. The bisectors of the adjacent angles which one ...
Side 24
... four sides , a pentagon one of five sides , a hexagon one of six sides , and so on . DEF . 27. A triangle is a figure contained by three straight lines . DEF . 28. Any side of a triangle may be called the base , and the opposite angular ...
... four sides , a pentagon one of five sides , a hexagon one of six sides , and so on . DEF . 27. A triangle is a figure contained by three straight lines . DEF . 28. Any side of a triangle may be called the base , and the opposite angular ...
Side 51
... four pairs of corresponding angles are equal , and the two pairs of interior angles on the same side are supplementary . Let the straight line EFGH intersect the straight lines AB , CD and make the alternate angles AFG , FGD equal ...
... four pairs of corresponding angles are equal , and the two pairs of interior angles on the same side are supplementary . Let the straight line EFGH intersect the straight lines AB , CD and make the alternate angles AFG , FGD equal ...
Side 56
... four right angles are equal to twice as many right angles as the polygon has sides . Let ABCDE be any convex polygon : B 0 E then shall all the interior angles of ABCDE together with four right angles be equal to twice as many right ...
... four right angles are equal to twice as many right angles as the polygon has sides . Let ABCDE be any convex polygon : B 0 E then shall all the interior angles of ABCDE together with four right angles be equal to twice as many right ...
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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 bisector bisects centre circle cutting Constr construct a triangle contrapositive diagonal distance draw a circle equal angles equal to AC equal to CD 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 rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC sides equal square on AC squares on AB straight line drawn Theorem trapezium triangle ABC 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. either the sides adjacent to the equal...
Side 98 - 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 35 - Any two sides of a triangle are together greater than the third side.
Side 26 - The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal to one another.
Side 37 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Side 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
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.
Side 31 - Any two angles of a triangle are together less than two right angles.
Side 115 - In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.