The Elements of Plane GeometryS. Sonnenschein & Company, 1903 |
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Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 23
... bisects the vertical angle of an isosceles triangle bisects the base . Ex . 5. Any point on the bisector of the vertical angle of an isosceles triangle is equidistant from the extremities of the base . Ex . 6. The straight line which ...
... bisects the vertical angle of an isosceles triangle bisects the base . Ex . 5. Any point on the bisector of the vertical angle of an isosceles triangle is equidistant from the extremities of the base . Ex . 6. The straight line which ...
Σελίδα 37
... A let the line that bisects the angle FDC ' meet EF at G , join C'G . Then , in the triangles C'DG , FDG , the side C'D is equal to the side DF , the side DG is common to both , and the angle C'DG is equal to the angle FDG TRIANGLES 37.
... A let the line that bisects the angle FDC ' meet EF at G , join C'G . Then , in the triangles C'DG , FDG , the side C'D is equal to the side DF , the side DG is common to both , and the angle C'DG is equal to the angle FDG TRIANGLES 37.
Σελίδα 41
... bisects the vertical angles . THEOR . 19. If two triangles have two angles of the one equal to two angles of the other , each to each , and have likewise the sides opposite to one pair of equal angles equal , then the triangles are ...
... bisects the vertical angles . THEOR . 19. If two triangles have two angles of the one equal to two angles of the other , each to each , and have likewise the sides opposite to one pair of equal angles equal , then the triangles are ...
Σελίδα 44
... bisects the angle BAC . EXERCISES 29. If two quadrilaterals have three sides of the one equal respectively to three sides of the other taken in order , and have likewise the angles contained by those sides equal to one another , each to ...
... bisects the angle BAC . EXERCISES 29. If two quadrilaterals have three sides of the one equal respectively to three sides of the other taken in order , and have likewise the angles contained by those sides equal to one another , each to ...
Σελίδα 45
... bisects the base at right angles . 31. In the equal sides AB , AC of an isosceles triangle ABC points D and E are taken such that AD is equal to AE , if BE and CD intersect at F , shew that the triangles BFC , DFE are isosceles . * 32 ...
... bisects the base at right angles . 31. In the equal sides AB , AC of an isosceles triangle ABC points D and E are taken such that AD is equal to AE , if BE and CD intersect at F , shew that the triangles BFC , DFE are isosceles . * 32 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal adjacent angles altitude angle ABC angle ACB angle BAC angle DAE angle DEF angle equal angle HBK base bisectors chord HK circle ABC circle whose centre circles DEF circles touch circumscribed circle coincide Constr diagonal diameter distance equal circles equal to AC equiangular exterior angle externally given angle given circle given point given ratio given straight line greater Hence hypotenuse identically equal inscribed circle isosceles triangle less Let ABC line joining magnitudes meet the circumference middle point minor arc multiple nine-points circle opposite angle opposite sides orthocentre parallelogram perpendicular point of contact polygon Prob produced proportional Prove Q.E.D. THEOR quadrilateral radii radius ratio compounded rectangle AC rectangle contained rectilineal figure rhombus right angles Shew side BC squares on BD straight line drawn tangent Theorem triangle ABC triangle DEF twice the rectangle vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 41 - 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.
Σελίδα 182 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Σελίδα 67 - 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 167 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 32 - Any two sides of a triangle are together greater than the third side.
Σελίδα 34 - 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 23 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Σελίδα 63 - If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.
Σελίδα 39 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 106 - 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.