Elements of Geometry, Plane and Spherical: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1868 - 262 σελίδες |
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Αποτελέσματα 1 - 5 από τα 44.
Σελίδα 14
... in which are at the same c distance from a certain point within , called the Center . 49. The Circumference of a circle is the curved line that bounds it . B A 50. The Diameter of a circle is a line passing 14 GEOMETRY . The Circle.
... in which are at the same c distance from a certain point within , called the Center . 49. The Circumference of a circle is the curved line that bounds it . B A 50. The Diameter of a circle is a line passing 14 GEOMETRY . The Circle.
Σελίδα 15
... passing througn its center , and terminating at both ends in the circum- ference . 51. The Radius of a circle is a line extending from its center to any point in the circumference . It is one half of the diameter . All the diameters of ...
... passing througn its center , and terminating at both ends in the circum- ference . 51. The Radius of a circle is a line extending from its center to any point in the circumference . It is one half of the diameter . All the diameters of ...
Σελίδα 45
... pass to the absolute measures , or , more properly , to the numerical expressions for areas . THEOREM XXXIII . The area of any plane triangle is measured by the pros duct of its base by one half its altitude ; or by one half of the ...
... pass to the absolute measures , or , more properly , to the numerical expressions for areas . THEOREM XXXIII . The area of any plane triangle is measured by the pros duct of its base by one half its altitude ; or by one half of the ...
Σελίδα 88
... passing through the center , and terminating at both extremities in the circumfer- ence . Thus , in the figure , Cis the center of the circle , the curved line AGBD is the cir- cumference , and AB is a diameter . M A P N E G F BL H 5 ...
... passing through the center , and terminating at both extremities in the circumfer- ence . Thus , in the figure , Cis the center of the circle , the curved line AGBD is the cir- cumference , and AB is a diameter . M A P N E G F BL H 5 ...
Σελίδα 91
... passes through the center of the circle and the middle of the subtended arc . THEOREM II Equal angles at the center of a circle are subtended by equal chords . Let the angle ACE the angle ECB ; then the two isosceles triangles , ACE ...
... passes through the center of the circle and the middle of the subtended arc . THEOREM II Equal angles at the center of a circle are subtended by equal chords . Let the angle ACE the angle ECB ; then the two isosceles triangles , ACE ...
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.