The elements of plane geometry, Volum 1 |
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Side 18
... angles made by two straight lines that inter- sect are called vertically opposite angles . THEOR . 1. All right angles are equal to one another . Let ABC be a right angle formed by the straight line AB standing on the straight line CBD ...
... angles made by two straight lines that inter- sect are called vertically opposite angles . THEOR . 1. All right angles are equal to one another . Let ABC be a right angle formed by the straight line AB standing on the straight line CBD ...
Side 19
... equal to the angle EFH ; Def . 10 . therefore the angle EFG is both greater than , and equal to , the angle EFH , which is impossible , therefore the line BA does not fall within the angle EFH . In the same way it may be proved that the ...
... equal to the angle EFH ; Def . 10 . therefore the angle EFG is both greater than , and equal to , the angle EFH , which is impossible , therefore the line BA does not fall within the angle EFH . In the same way it may be proved that the ...
Side 24
... equal ; or they are said to be equal in all respects . DEF . 20. The area of a plane figure is the quantity of the ... sides and angles are equal . DEF . 24. A diagonal is the straight line joining the vertices of any angles of a polygon ...
... equal ; or they are said to be equal in all respects . DEF . 20. The area of a plane figure is the quantity of the ... sides and angles are equal . DEF . 24. A diagonal is the straight line joining the vertices of any angles of a polygon ...
Side 25
... equal ; the angle contained by those sides is called the vertical angle , the third side the base . THEOR . 5. If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles ...
... equal ; the angle contained by those sides is called the vertical angle , the third side the base . THEOR . 5. If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles ...
Side 26
... equal to AC , then the angle ADB is equal to the angle ADC . Ex . 8. The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the oppo- site sides are equal to one another . Ex . 9. On ...
... equal to AC , then the angle ADB is equal to the angle ADC . Ex . 8. The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the oppo- site sides are equal to one another . Ex . 9. On ...
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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.