The elements of plane geometry, Volum 1 |
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Resultat 1-5 av 9
Side 12
Mathematical association. ( ƒ ) If equals are added to unequals the sums are unequal , the greater sum being that which is obtained from the greater magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the ...
Mathematical association. ( ƒ ) If equals are added to unequals the sums are unequal , the greater sum being that which is obtained from the greater magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the ...
Side 33
... 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 angle ACB be greater than the angle ABC . From AB cut off AD equal to AC , join ...
... 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 angle ACB be greater than the angle ABC . From AB cut off AD equal to AC , join ...
Side 34
Mathematical association. THEOR 12. If two angles of a triangle are unequal , the greater angle has the greater side opposite to it . Let ABC be a triangle having the angle ABC greater than the angle ACB : B then shall the side AC be ...
Mathematical association. THEOR 12. If two angles of a triangle are unequal , the greater angle has the greater side opposite to it . Let ABC be a triangle having the angle ABC greater than the angle ACB : B then shall the side AC be ...
Side 39
... unequal , then the bases are unequal , the base of that which has the greater angle being greater than the base of the other . Let ABC , DEF be two triangles having the side AB equal to the side DE , and the side AC to the side DF , but ...
... unequal , then the bases are unequal , the base of that which has the greater angle being greater than the base of the other . Let ABC , DEF be two triangles having the side AB equal to the side DE , and the side AC to the side DF , but ...
Side 41
... unequal , then the included angles are unequal , the angle of that which has the greater base being greater than the angle of the other . Let ABC , DEF be two triangles having the side AB equal to the side DE , and the side AC equal to ...
... unequal , then the included angles are unequal , the angle of that which has the greater base being greater than the angle of the other . Let ABC , DEF be two triangles having the side AB equal to the side DE , and the side AC equal to ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 35 - Any two sides of a triangle are together greater than the third side.
Side 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.
Side 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.
Side 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 31 - Any two angles of a triangle are together less than two right angles.
Side 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.