Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 76
... sector . The space BCH is a sector . 5. When a straight line touches the circumference in only one point , it is called a tangent ; and the common point of the line and circumference is called the point of contact . 6. One circle ...
... sector . The space BCH is a sector . 5. When a straight line touches the circumference in only one point , it is called a tangent ; and the common point of the line and circumference is called the point of contact . 6. One circle ...
Σελίδα 78
... sectors , and similar segments are such as correspond with equal angles at the centres of their respective circles . PROPOSITION I THEOREM . If a line , drawn from the centre of a circle , bisect a chord , it will be perpendicular to ...
... sectors , and similar segments are such as correspond with equal angles at the centres of their respective circles . PROPOSITION I THEOREM . If a line , drawn from the centre of a circle , bisect a chord , it will be perpendicular to ...
Σελίδα 168
... sector is to the circle as the arc to the circumference : consequently the one sector is to its circle as the other sector to its circle ; and as the circles are as the squares of the radii , we have alternately the one sector to the ...
... sector is to the circle as the arc to the circumference : consequently the one sector is to its circle as the other sector to its circle ; and as the circles are as the squares of the radii , we have alternately the one sector to the ...
Σελίδα 178
... sectors . Let AB be the diameter of the circle , and suppose we wish to divide it into four parts . Divide the diameter into four equal parts at the points C , D , F. Then describe the semicircles upon the opposite sides of the ...
... sectors . Let AB be the diameter of the circle , and suppose we wish to divide it into four parts . Divide the diameter into four equal parts at the points C , D , F. Then describe the semicircles upon the opposite sides of the ...
Σελίδα 233
... sector , as DCF or FCH , describes a solid , which is named a spherical sector . Note . The cylinder , the cone , and the sphere , are the three round bodies treated of in the elements of geometry . PROPOSITION I. THEOREM . The solidity ...
... sector , as DCF or FCH , describes a solid , which is named a spherical sector . Note . The cylinder , the cone , and the sphere , are the three round bodies treated of in the elements of geometry . PROPOSITION I. THEOREM . The solidity ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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a+b+c altitude angle ABC angle ACD angle BAC bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle ference figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line CD lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel lines parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop proportional PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar solid angle sphere spherical polygon square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII