The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 9
... projection of a finite line on a given . straight line . 4. The construction of an angle equal to a given angle ; of an angle equal to the sum of two given angles , etc. 5. The drawing of a line parallel to another under various ...
... projection of a finite line on a given . straight line . 4. The construction of an angle equal to a given angle ; of an angle equal to the sum of two given angles , etc. 5. The drawing of a line parallel to another under various ...
Σελίδα 62
... alternate angles which AC makes with AB and DC , therefore AB is parallel to DC , therefore ABCD is a parallelogram . I. 21 . Q.E.D. DEF . 40. The orthogonal projection of one straight line 62 THE ELEMENTS OF PLANE GEOMETRY .
... alternate angles which AC makes with AB and DC , therefore AB is parallel to DC , therefore ABCD is a parallelogram . I. 21 . Q.E.D. DEF . 40. The orthogonal projection of one straight line 62 THE ELEMENTS OF PLANE GEOMETRY .
Σελίδα 63
... projection GH , and CD is equal to its projection KL , therefore , if AB is equal to CD , then GH is equal to KL ; and conversely , if GH is equal to KL , then AB is equal to CD . I. 29 . 1. 29 . But if AB and CD are not parallel to EF ...
... projection GH , and CD is equal to its projection KL , therefore , if AB is equal to CD , then GH is equal to KL ; and conversely , if GH is equal to KL , then AB is equal to CD . I. 29 . 1. 29 . But if AB and CD are not parallel to EF ...
Σελίδα 64
... projections on another straight line are parallel to that line , or make equal angles with it . Let AB , CD be two equal straight lines , GH , KL their projections on another straight line EF , and let GH 64 THE ELEMENTS OF PLANE GEOMETRY .
... projections on another straight line are parallel to that line , or make equal angles with it . Let AB , CD be two equal straight lines , GH , KL their projections on another straight line EF , and let GH 64 THE ELEMENTS OF PLANE GEOMETRY .
Σελίδα 65
Association for the improvement of geometrical teaching. projections on another straight line EF , and let GH be equal to ... projection KL ; but the perpendicular from C upon DL is equal to KL , therefore CD is this perpendicular , and ...
Association for the improvement of geometrical teaching. projections on another straight line EF , and let GH be equal to ... projection KL ; but the perpendicular from C upon DL is equal to KL , therefore CD is this perpendicular , and ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 bisectors bisects centre circle cutting Constr construct a triangle contrapositive diagonal equal angles equal to AC 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 radius rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC side DF sides equal square on AC squares on AB straight angle straight line drawn Theorem trapezium triangle ABC triangle DEF 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.
Σελίδα 70 - 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 101 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 35 - Any two sides of a triangle are together greater than the third side.
Σελίδα 26 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Σελίδα 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius.
Σελίδα 42 - 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 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.