The elements of plane geometry, Volum 1 |
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Side 18
... angle . DEF . 13. n obtuse angle is that which is greater than one right angle , but less than two right angles . DEF ... ABC be a right angle formed by the straight line AB standing on the straight line CBD , EFG a right angle formed by ...
... angle . DEF . 13. n obtuse angle is that which is greater than one right angle , but less than two right angles . DEF ... ABC be a right angle formed by the straight line AB standing on the straight line CBD , EFG a right angle formed by ...
Side 19
... angle EFH . In the same way it may be proved that the line BA does not fall within the angle EFG . Hence the line BA does fall on the line FE . Therefore the angle ABC coincides with the angle EFG , and therefore the angle ABC is equal to ...
... angle EFH . In the same way it may be proved that the line BA does not fall within the angle EFG . Hence the line BA does fall on the line FE . Therefore the angle ABC coincides with the angle EFG , and therefore the angle ABC is equal to ...
Side 20
... angles together equal to two right angles . Let the straight line AB stand upon the straight line CD : с B B then shall the angles ABC , ABD be together equal to two right angles . If the angle ABC is equal to the angle ABD , each of them ...
... angles together equal to two right angles . Let the straight line AB stand upon the straight line CD : с B B then shall the angles ABC , ABD be together equal to two right angles . If the angle ABC is equal to the angle ABD , each of them ...
Side 21
Mathematical association. Ax . c . therefore the angles ABC , ABD are together equal to the angles EBC , EBD ... angle , shew that the other three angles are also right angles . * Ex . 2. The bisectors of the adjacent angles which one ...
Mathematical association. Ax . c . therefore the angles ABC , ABD are together equal to the angles EBC , EBD ... angle , shew that the other three angles are also right angles . * Ex . 2. The bisectors of the adjacent angles which one ...
Side 22
... ABC , ABE are together equal to two right angles ; I. 2 . but the angles ABC ... angle ABC ; then the angle ABE is equal to the angle ABD , Ax . e . the part to the whole ... angle AOC be equal to the angle 22 THE ELEMENTS OF PLANE GEOMETRY .
... ABC , ABE are together equal to two right angles ; I. 2 . but the angles ABC ... angle ABC ; then the angle ABE is equal to the angle ABD , Ax . e . the part to the whole ... angle AOC be equal to the angle 22 THE ELEMENTS OF PLANE GEOMETRY .
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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.