Essentials of GeometryS.C. Griggs, 1883 - 267 sider |
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Side 101
... themselves , but as the product of their numerical measures . Only the numbers representing the lines can be multiplied . 4. The Altitude of a triangle is the perpendicular distance 101 CHAPTER VI EQUALITY AND MEASUREMENT OF POLYGONS,
... themselves , but as the product of their numerical measures . Only the numbers representing the lines can be multiplied . 4. The Altitude of a triangle is the perpendicular distance 101 CHAPTER VI EQUALITY AND MEASUREMENT OF POLYGONS,
Side 102
... Altitude of a parallelogram is the perpendicular distance between two opposite sides ; one of which is then called the upper base , and the other the lower base . 6. The Altitude of a trapezoid is the perpendicular dis- tance between ...
... Altitude of a parallelogram is the perpendicular distance between two opposite sides ; one of which is then called the upper base , and the other the lower base . 6. The Altitude of a trapezoid is the perpendicular dis- tance between ...
Side 103
... altitudes are equal . Let the parallelograms , A B CD and EFG H , have equal bases and equal altitudes ; then will they be equal . D t K H Α For , let E G be applied to A C so that their lower bases shall coincide . Since they have ...
... altitudes are equal . Let the parallelograms , A B CD and EFG H , have equal bases and equal altitudes ; then will they be equal . D t K H Α For , let E G be applied to A C so that their lower bases shall coincide . Since they have ...
Side 104
... altitude . QUERIES . 1. What are the essential points in the demonstration proper ? - First , to superpose the ... altitudes are proportional to their bases . There may be two cases : the bases may be commensurable , or they may be ...
... altitude . QUERIES . 1. What are the essential points in the demonstration proper ? - First , to superpose the ... altitudes are proportional to their bases . There may be two cases : the bases may be commensurable , or they may be ...
Side 105
... altitudes and the altitudes as the bases . THEOREM III . Any two rectangles are proportional to the EQUALITY AND MEASUREMENT OF POLYGONS . 105.
... altitudes and the altitudes as the bases . THEOREM III . Any two rectangles are proportional to the EQUALITY AND MEASUREMENT OF POLYGONS . 105.
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 18 - if two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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.
Side 38 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.
Side 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.
Side 232 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Side 14 - In an isosceles triangle the angles opposite the equal sides are equal.
Side 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.