The elements of plane geometry, Τόμος 1 |
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Σελίδα 30
If any side of a triangle is produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle having the side BC produced to D : B E 4 C then shall the exterior angle ACD be greater than ...
If any side of a triangle is produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle having the side BC produced to D : B E 4 C then shall the exterior angle ACD be greater than ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal alternate angle altitude angle ABC angle ACB angle AFG angle BAC angle EDF angles are equal angles equal Apply base bisector bisects called centre coincide common Constr construct construct a triangle diagonal difference distance divided draw equal to CD exterior angle extremities fall figure formed four Geometry given angle given point given straight line greater half Hence identically equal interior intersect isosceles triangle join less Let ABC locus meet middle point opposite angles opposite sides pair parallel parallelogram perpendicular plane point equidistant polygon Post Prob produced projection Prove quadrilateral radius rectangle contained remainder right angles segments shew side AB side AC square on AC straight line drawn surface THEOR Theorem triangle ABC twice the rectangle unequal vertex vertices whole
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.