Essentials of GeometryS.C. Griggs, 1883 - 267 σελίδες |
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Σελίδα 54
... Diameter of a circle is a straight line passing through the centre , and terminated both ways by the circumference . D A a a a a a a B be con- Illustration . - A circle may ceived as the path of a line , A C , one end of which , C ...
... Diameter of a circle is a straight line passing through the centre , and terminated both ways by the circumference . D A a a a a a a B be con- Illustration . - A circle may ceived as the path of a line , A C , one end of which , C ...
Σελίδα 56
... diameters of the same circle are equal , and each is double the radius . Cor . III . Circles having equal radii are equal ; and , con- versely , equal circles have equal radii . QUERIES . 1. What is the difference between a diameter and ...
... diameters of the same circle are equal , and each is double the radius . Cor . III . Circles having equal radii are equal ; and , con- versely , equal circles have equal radii . QUERIES . 1. What is the difference between a diameter and ...
Σελίδα 57
Alfred Hix Welsh. THEOREM I. Any diameter bisects the circle and its circumference . Let A B C D be a circle , and A C any diameter ; then will AC bisect the circle and also its circumference . For suppose ACD to revolve about AC as an ...
Alfred Hix Welsh. THEOREM I. Any diameter bisects the circle and its circumference . Let A B C D be a circle , and A C any diameter ; then will AC bisect the circle and also its circumference . For suppose ACD to revolve about AC as an ...
Σελίδα 58
... diameter perpendicular to the chord , and hence would coincide with it ( Ch . II , Th . XIV , Ex . 1 ) . EXERCISES . 1. The radius perpendicular to a chord bisects the angle formed by the lines drawn from any point of the radius to the ...
... diameter perpendicular to the chord , and hence would coincide with it ( Ch . II , Th . XIV , Ex . 1 ) . EXERCISES . 1. The radius perpendicular to a chord bisects the angle formed by the lines drawn from any point of the radius to the ...
Σελίδα 67
... diameter passing through either extremity of the chord . 7. A diameter is greater than any other chord . 8. The lines which bisect at right angles the sides of a triangle all meet in one point . ( Th . IX . ) 9. Find the locus of the ...
... diameter passing through either extremity of the chord . 7. A diameter is greater than any other chord . 8. The lines which bisect at right angles the sides of a triangle all meet in one point . ( Th . IX . ) 9. Find the locus of the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D ABCD adjacent angles angle equal apothem bisect central angles centre circle whose radius circumference coincide construct convex surface cylinder diagonals diameter distance divided draw drawn equal altitudes equal bases equal circles equally distant equiangular EXERCISES feet frustum generatrix given angle given circle given line given point greater Hence homologous sides hypotenuse included angle inscribed angle inscribed circle interior angles intersect isosceles triangle lune number of sides oblique parallel parallelogram parallelopiped perimeter perpendicular plane prism Prob proportional pyramid Q. E. D. Cor Q. E. F quadrilateral QUERIES radii ratio rectangle regular polygon right cone right triangle Scholium secant segments similar slant height sphere spherical triangle square straight line tangent triangle A B C vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 18 - if two triangles have two sides of the one equal to two sides of the...
Σελίδα 110 - In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon it.
Σελίδα 13 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 107 - If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, they are equal in all their parts.
Σελίδα 24 - 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 38 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.
Σελίδα 42 - If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad.
Σελίδα 232 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Σελίδα 14 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα x - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.