Elements of Geometry, Conic Sections, and Plane TrigonometryHarper & Bros., 1877 - 443 σελίδες |
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Σελίδα 69
... inches , and the altitude 4 inches , the rectangle can be divided into 24 squares , each equal to one square inch ; that is , its area is represented by 24 square inches . If the base of a second rectangle contains 9 inches , and its ...
... inches , and the altitude 4 inches , the rectangle can be divided into 24 squares , each equal to one square inch ; that is , its area is represented by 24 square inches . If the base of a second rectangle contains 9 inches , and its ...
Σελίδα 133
... inches in length be divided into two parts of 7 and 9 inches respectively by another chord , what is the length of the latter , one of its segments being 3 inch- es ? Ans . 24 inches . 10. If the chord of an arc be 720 feet , and the ...
... inches in length be divided into two parts of 7 and 9 inches respectively by another chord , what is the length of the latter , one of its segments being 3 inch- es ? Ans . 24 inches . 10. If the chord of an arc be 720 feet , and the ...
Σελίδα 134
... inches , the distance between them being 31 inches ; what is the diameter of the circle ? Ans . 50 inches . 20. Two parallel chords on the same side of the centre of a cir- cle whose diameter is 50 inches are measured , and found to be ...
... inches , the distance between them being 31 inches ; what is the diameter of the circle ? Ans . 50 inches . 20. Two parallel chords on the same side of the centre of a cir- cle whose diameter is 50 inches are measured , and found to be ...
Σελίδα 136
... circumference of a circle whose area is 27.45 square rods ? 10. What is the area of a sector whose arc is one sixth of the circumference in a circle whose radius is 17 inches ? GEOMETRY OF SPACE . BOOK VII . PLANES AND SOLID 136 GEOMETRY .
... circumference of a circle whose area is 27.45 square rods ? 10. What is the area of a sector whose arc is one sixth of the circumference in a circle whose radius is 17 inches ? GEOMETRY OF SPACE . BOOK VII . PLANES AND SOLID 136 GEOMETRY .
Σελίδα 162
... inch as the unit of measure , we shall obtain in the same manner the number of cubic inches in the parallelopiped . PROPOSITION XI . THEOREM . The volume of a prism is measured by the product of its base by its altitude . For any ...
... inch as the unit of measure , we shall obtain in the same manner the number of cubic inches in the parallelopiped . PROPOSITION XI . THEOREM . The volume of a prism is measured by the product of its base by its altitude . For any ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle ACB angle BAC base bisect centre centre of symmetry chord circle circumference cone conjugate conjugate hyperbola Cosine Cotang curve described diagonals diameter directrix distance divided draw ellipse equal to AC equilateral equivalent figure foci frustum given angle given point given straight line greater half Hence hyperbola hypothenuse inscribed intersection join latus rectum less Let ABC line drawn logarithm major axis meet multiplied number of sides ordinate parabola parallel to BC parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced projection Prop PROPOSITION pyramid quadrant quadrilateral radical axis radii radius ratio rectangle regular polygon right-angled triangle Scholium secant segment side AC similar sine solid angle sphere spherical square subtangent symmetrical Tang tangent THEOREM transverse axis triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 68 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 35 - 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 187 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Σελίδα 64 - BEC, taken together, are measured by half the circumference ; hence their sum is equal to two right angles.
Σελίδα 71 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Σελίδα 23 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Σελίδα 20 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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 124 - The area of a circle is equal to the product of its circumference by half the radius.* Let ACDE be a circle whose centre is O and radius OA : then will area OA— ^OAxcirc.
Σελίδα 177 - THEOREM. The sum of the sides of a spherical polygon, is less than the circumference of a great circle. Let...
Σελίδα 27 - 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.