A School Geometry, Μέρη 1-4Macmillan and Company, 1908 |
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Αποτελέσματα 1 - 5 από τα 66.
Σελίδα 18
... Let ABC , DEF be two triangles in which AB = DE , AC = DF , and the included angle BAC = the included angle EDF . It is required to prove that the ABC = the DEF in all respects . Proof . Apply the ABC to the △ DEF , so that the point A ...
... Let ABC , DEF be two triangles in which AB = DE , AC = DF , and the included angle BAC = the included angle EDF . It is required to prove that the ABC = the DEF in all respects . Proof . Apply the ABC to the △ DEF , so that the point A ...
Σελίδα 19
... AB = DE , AC = DF , and the BAC = the LEDF . From these data we prove that the ... Let O be the perpendicular to it . middle point of a straight line AB , and ... ABC is an isosceles triangle : from the equal sides equal parts AX , AY are ...
... AB = DE , AC = DF , and the BAC = the LEDF . From these data we prove that the ... Let O be the perpendicular to it . middle point of a straight line AB , and ... ABC is an isosceles triangle : from the equal sides equal parts AX , AY are ...
Σελίδα 20
... Let ABC be an isosceles triangle , in which the side AB = the side AC . It is required to prove that the LABC = the LACB . Suppose that AD is the line which bisects the BAC , and let it meet BC in D. 1st Proof . because Then in the ...
... Let ABC be an isosceles triangle , in which the side AB = the side AC . It is required to prove that the LABC = the LACB . Suppose that AD is the line which bisects the BAC , and let it meet BC in D. 1st Proof . because Then in the ...
Σελίδα 22
... Let ABC be a triangle in which the ABC = the ACB . It is required to prove that the side AC = the side AB . If AC and AB are not equal , suppose that AB is the greater . From BA cut off BD equal to AC . Proof . because .. the Join DC ...
... Let ABC be a triangle in which the ABC = the ACB . It is required to prove that the side AC = the side AB . If AC and AB are not equal , suppose that AB is the greater . From BA cut off BD equal to AC . Proof . because .. the Join DC ...
Σελίδα 23
... ABC , and , after turning it over , fitting it thus reversed into the vacant space left in the paper . B Suppose A'B'C ' to be the original position of the △ ABC , and let ACB represent the triangle when reversed . In Theorem 5 , it ...
... ABC , and , after turning it over , fitting it thus reversed into the vacant space left in the paper . B Suppose A'B'C ' to be the original position of the △ ABC , and let ACB represent the triangle when reversed . In Theorem 5 , it ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² adjacent angles altitude angle equal base BC bisector bisects circle of radius circle whose centre circles which touch circum-circle circumference circumscribed coincide common tangents concyclic Construct a triangle diagonals diagram diameter distance divided draw a circle equal in area equidistant escribed circles Euclid exterior angles Find the area find the locus given angle given circle given point given straight line given triangle greater Hence hypotenuse inches inscribed isosceles triangle length Let ABC meet metres middle point millimetre nine-points circle opposite sides orthocentre par¹ parallelogram pedal triangle perp PROBLEM produced Proof radii rect rectangle rectangle contained rectilineal figure required to prove respectively rhombus right angles right-angled triangle segment shew shewn straight line drawn tangent Theor Theorem trapezium triangle ABC triangles are equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα xi - IF two triangles have two angles of 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 44 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 190 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Σελίδα 12 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 122 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα x - 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 65 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.