The elements of plane geometry, Τόμος 1 |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 24
... lines . DEF . 28. Any side of a triangle may be called the base , and the opposite angular point is then called the vertex . DEF . 29. An isosceles triangle is that which has 24 THE ELEMENTS OF PLANE GEOMETRY . Section II Triangles.
... lines . DEF . 28. Any side of a triangle may be called the base , and the opposite angular point is then called the vertex . DEF . 29. An isosceles triangle is that which has 24 THE ELEMENTS OF PLANE GEOMETRY . Section II Triangles.
Σελίδα 25
... 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 included by these sides equal , then the triangles are identically equal , and of the angles ...
... 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 included by these sides equal , then the triangles are identically equal , and of the angles ...
Σελίδα 26
... base . Ex . 6. The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base . Ex . 7. Any point D is taken on the bisector of an angle BAC ; prove that , if AB is equal to AC , then the angle ...
... base . Ex . 6. The straight line which bisects the vertical angle of an isosceles triangle is perpendicular to the base . Ex . 7. Any point D is taken on the bisector of an angle BAC ; prove that , if AB is equal to AC , then the angle ...
Σελίδα 30
... base of an isosceles triangle are bisected , the bisectors and the base form an isosceles triangle . THEOR . 9. If any side of a triangle is produced , the exterior angle is greater than either of the interior opposite angles . Let ABC ...
... base of an isosceles triangle are bisected , the bisectors and the base form an isosceles triangle . THEOR . 9. If any side of a triangle is produced , the exterior angle is greater than either of the interior opposite angles . Let ABC ...
Σελίδα 33
... base , and using Theor . 9 twice . THEOR . 11. If two sides of a triangle are unequal , the greater side has the greater angle opposite to it . Let ABC be a triangle having the side AB greater than the side AC : B b A then shall the ...
... base , and using Theor . 9 twice . THEOR . 11. If two sides of a triangle are unequal , the greater side has the greater angle opposite to it . Let ABC be a triangle having the side AB greater than the side AC : B b A then shall the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 56 - ... is equal to twice as many right angles as the polygon
Σελίδα 35 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 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.
Σελίδα 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 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.
Σελίδα 31 - Any two angles of a triangle are together less than two right angles.
Σελίδα 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.