The elements of plane geometry, Τόμος 1 |
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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 9
... Drawing , in order to familiarize them with the conceptions , and give them some general notions of the nature of the results , of the Science of Geometry ... construction of a triangle , having given ( SYLLABUS OF GEOMETRICAL CONSTRUCTIONS.
... Drawing , in order to familiarize them with the conceptions , and give them some general notions of the nature of the results , of the Science of Geometry ... construction of a triangle , having given ( SYLLABUS OF GEOMETRICAL CONSTRUCTIONS.
Σελίδα 10
Mathematical association. 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( 2 ) two angles and side adjacent ; ( ) two angles and side opposite . 7. The drawing of tangents to ...
Mathematical association. 6. The construction of a triangle , having given ( a ) three sides ; ( B ) two sides and contained angle ; ( 2 ) two angles and side adjacent ; ( ) two angles and side opposite . 7. The drawing of tangents to ...
Σελίδα 36
... triangle to the middle point of the base is less than half the sum Use the construction of of the remaining sides . Theor . 9 . Ex . 19. If O is a point within the triangle ABC , shew that the sum of OA , OB , and OC is greater than ...
... triangle to the middle point of the base is less than half the sum Use the construction of of the remaining sides . Theor . 9 . Ex . 19. If O is a point within the triangle ABC , shew that the sum of OA , OB , and OC is greater than ...
Σελίδα 69
... triangle to the middle points of the opposite sides meet in a point . SECTION IV . PROBLEMS . A Geometrical Problem is a proposition , of which the object is to effect some Geometrical construction . The solution of a Problem depends on ...
... triangle to the middle points of the opposite sides meet in a point . SECTION IV . PROBLEMS . A Geometrical Problem is a proposition , of which the object is to effect some Geometrical construction . The solution of a Problem depends on ...
Σελίδα 78
Mathematical association. PROB . 7. To construct a triangle when three sides are given . Let A , B and C be the three given sides : it is required to construct a triangle having its sides equal to A , B and C. A B C D Take any straight ...
Mathematical association. PROB . 7. To construct a triangle when three sides are given . Let A , B and C be the three given sides : it is required to construct a triangle having its sides equal to A , B and C. A B C D Take any straight ...
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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.