The elements of plane geometry, Τόμος 1 |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 30
Mathematical association. and the angle ACB is equal to the angle A'B'C ' , since it is equal to the angle ABC , and ... exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle having the side BC ...
Mathematical association. and the angle ACB is equal to the angle A'B'C ' , since it is equal to the angle ABC , and ... exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle having the side BC ...
Σελίδα 32
... angles . Produce BC to D. Because ACD is an exterior angle of the triangle ABC , therefore it is greater than the interior opposite angle ABC , I. 9 . to each add the angle ACB , then the angles ACD , ACB are together greater than the ...
... angles . Produce BC to D. Because ACD is an exterior angle of the triangle ABC , therefore it is greater than the interior opposite angle ABC , I. 9 . to each add the angle ACB , then the angles ACD , ACB are together greater than the ...
Σελίδα 33
... angle opposite to it . Let ABC be a triangle having the side AB greater than ... exterior angle of the triangle BDC , is greater than the interior opposite ... angles of a triangle are unequal TRIANGLES . 33.
... angle opposite to it . Let ABC be a triangle having the side AB greater than ... exterior angle of the triangle BDC , is greater than the interior opposite ... angles of a triangle are unequal TRIANGLES . 33.
Σελίδα 37
... angle BDC , being an exterior angle of the triangle CED , is greater than the interior opposite angle DEC ; I. 9 . and the angle DEC , being an exterior angle of the triangle BAE , is greater than the angle BAC , still more then is the ...
... angle BDC , being an exterior angle of the triangle CED , is greater than the interior opposite angle DEC ; I. 9 . and the angle DEC , being an exterior angle of the triangle BAE , is greater than the angle BAC , still more then is the ...
Σελίδα 38
... angle therefore AED is less than a right angle , therefore AED is less than ADE , and therefore AD is less than AE ... exterior angle of the triangle AED , is greater than the interior opposite angle ADE , 1. 9 . and is therefore an ...
... angle therefore AED is less than a right angle , therefore AED is less than ADE , and therefore AD is less than AE ... exterior angle of the triangle AED , is greater than the interior opposite angle ADE , 1. 9 . and is therefore an ...
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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.