Elements of Geometry, Plane and Spherical: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1868 - 262 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 7
... Sides ..... Plane Figures of Four Sides .... The Circle .... Units of Measure .... Explanation of Terms .. Postulates .... Axioms ..... Abbreviations ......... . PAGE 9 10 12 13 14 15 16 16 17 ... 17 BOOK I. Of Straight Lines , Angles ...
... Sides ..... Plane Figures of Four Sides .... The Circle .... Units of Measure .... Explanation of Terms .. Postulates .... Axioms ..... Abbreviations ......... . PAGE 9 10 12 13 14 15 16 16 17 ... 17 BOOK I. Of Straight Lines , Angles ...
Σελίδα 12
... sides of the polygon . The least number of sides that can bound a polygon is three , and by the figure thus bounded all other polygons are analyzed . FIGURES OF THREE SIDES . 24. A Triangle is a polygon having three sides and three ...
... sides of the polygon . The least number of sides that can bound a polygon is three , and by the figure thus bounded all other polygons are analyzed . FIGURES OF THREE SIDES . 24. A Triangle is a polygon having three sides and three ...
Σελίδα 13
... SIDES . 32. A Quadrilateral is a polygon having four sides and four angles . 33. A Parallelogram is a quadrilateral which has its opposite sides parallel . Parallelograms are denominated from the rela- tions both of their sides and ...
... SIDES . 32. A Quadrilateral is a polygon having four sides and four angles . 33. A Parallelogram is a quadrilateral which has its opposite sides parallel . Parallelograms are denominated from the rela- tions both of their sides and ...
Σελίδα 14
... sides . Polygons may be similar without being equal ; that is , the angles and the number of sides may be equal , and the length of the sides and the size of the figures unequal . THE CIRCLE . 48. A Circle is a plane figure bound- ed by ...
... sides . Polygons may be similar without being equal ; that is , the angles and the number of sides may be equal , and the length of the sides and the size of the figures unequal . THE CIRCLE . 48. A Circle is a plane figure bound- ed by ...
Σελίδα 15
... sides , of the equal circles having their centers at the vertices of the angles . UNITS OF MEASURE . 54. The ... side may be any linear unit , as an inch , a foot , a mile , etc. The linear unit being arbitrary , the surface unit is ...
... sides , of the equal circles having their centers at the vertices of the angles . UNITS OF MEASURE . 54. The ... side may be any linear unit , as an inch , a foot , a mile , etc. The linear unit being arbitrary , the surface unit is ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems Horatio Nelson Robinson Προβολή αποσπασμάτων - 1868 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² altitude angle ABC axis base and altitude bisected chord circ circumference circumscribed polygon common cone convex surface cylinder diagonal diameter dicular distance divided draw equal altitudes equal and parallel equal angles equal bases equal sides equation equiangular equivalent four magnitudes frustum given line greater half Hence the theorem homologous edges hypotenuse interior angles isosceles Let ABC line drawn lune measured middle point multiplied number of sides opposite angles parallel lines parallelogram parallelopipe parallelopipedon pendicular perimeter perpen perpendicular plane ST polyedron PROB PROBLEM produced proportion PROPOSITION prove radii radius regular polygon right angles right-angled triangle SCHOLIUM secant segment semi-polygon slant height solid angles sphere spherical polygon spherical triangle square described straight line tangent three angles triangle ABC triangular prisms triedral angles vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 96 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 128 - To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c.
Σελίδα 174 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 254 - 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 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Σελίδα 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.
Σελίδα 160 - THEOREM. If two planes are perpendicular to the same straight line, they are parallel to each other. Let the planes MN...
Σελίδα 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 61 - A fourth proportional to three quantities is the fourth term of a proportion, whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = c : d, d is a fourth proportional to a, b, and c.