Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...Macmillan & Company, 1876 - 58 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 8
... vertex and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence with the other is said to turn through the angle : and the angle is greater as the quantity of turning is ...
... vertex and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence with the other is said to turn through the angle : and the angle is greater as the quantity of turning is ...
Σελίδα 10
... vertices of any angles of a polygon which have not a common arm . DEF . 26. The perimeter of a rectilineal figure is the sum of its sides . DEF . 27. The area of a figure is the space inclosed by its boundary . DEF . 28. A triangle is a ...
... vertices of any angles of a polygon which have not a common arm . DEF . 26. The perimeter of a rectilineal figure is the sum of its sides . DEF . 27. The area of a figure is the space inclosed by its boundary . DEF . 28. A triangle is a ...
Σελίδα 12
... vertex . DEF . 33. The side of a right - angled triangle which is opposite to the right angle is called the hypotenuse . DEF . 34. Figures that may be made by superposition to coin- cide with one another are said to be identically equal ...
... vertex . DEF . 33. The side of a right - angled triangle which is opposite to the right angle is called the hypotenuse . DEF . 34. Figures that may be made by superposition to coin- cide with one another are said to be identically equal ...
Σελίδα 21
... vertex . OBS . It follows from the General Axioms ( d ) and ( e ) ( page 3 ) , as an extension of the Geometrical Axiom 1 ( page 10 ) , that magnitudes which are either the sum or the difference of identically equal magnitudes are equal ...
... vertex . OBS . It follows from the General Axioms ( d ) and ( e ) ( page 3 ) , as an extension of the Geometrical Axiom 1 ( page 10 ) , that magnitudes which are either the sum or the difference of identically equal magnitudes are equal ...
Σελίδα 22
... vertices is parallel to the base or to that straight line . THEOR . 3. The area of a trapezium is equal to the area of a rectangle whose base is half the sum of the two parallel sides , and whose altitude is the perpendicular distance ...
... vertices is parallel to the base or to that straight line . THEOR . 3. The area of a trapezium is equal to the area of a rectangle whose base is half the sum of the two parallel sides , and whose altitude is the perpendicular distance ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles adjoining sides angles are equal angles equal angles opposite antecedent bisects Book called centre circle a regular circumscribe conjugate angles consequent construct a triangle contrapositive diagonal distance divided internally equal altitude equal angles equal arcs equal circles equimultiples given angle given circle given point given ratio given rectilineal figure given straight line greater angle hypotenuse identically equal inscribe interior angles intersect lines are proportional locus middle point minor arcs multiple obtuse angle opposite angles parallel straight lines parallelogram perpendicular PLANE GEOMETRY point of contact point of division polygon PROB quadrilateral radii radius ratio compounded ratios are equal rectangle contained regular figures right angles Rule of Conversion Rule of Identity SECTION sector segments side opposite Similar rectilineal figures square straight angle straight line drawn straight line joining subtended Superposition SYLLABUS OF PLANE tangent THEOR Theorem triangles are identically vertex whence whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 14 - 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 17 - Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...
Σελίδα 14 - 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 13 - Any two sides of a triangle are together greater than the third side.
Σελίδα 23 - 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 13 - 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 34 - If the distance between the centres of two circles is equal to the difference of their radii, the two circles will touch each other internally.
Σελίδα 56 - If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square on the mean ; and conversely, if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines are proportionals.
Σελίδα 28 - In the same circle, or in equal circles, equal arcs are subtended by equal chords : and conversely, equal chords subtend equal arcs.
Σελίδα 4 - The enunciation of a Theorem consists of two parts, — the hypothesis, or that which is assumed, and the conclusion, or that which is asserted to follow therefrom. Thus in the typical Theorem, If A is B, then C is D, (i), the hypothesis is that A is B, and the conclusion, that C is D.