New Elementary Geometry: With Practical Applications ; a Shorter Course Upon the Basis of the Larger Work |
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Page 35
... feet long to a line 2 feet long is or 3 ; and the inverse ratio of a line 6 feet long to a line 2 feet long is or , which is the same as the reciprocal of 3 , the direct ratio of 6 to 2 . The word ratio when used alone means the ...
... feet long to a line 2 feet long is or 3 ; and the inverse ratio of a line 6 feet long to a line 2 feet long is or , which is the same as the reciprocal of 3 , the direct ratio of 6 to 2 . The word ratio when used alone means the ...
Page 156
... feet , and the perpendicular , BC , 36 feet ; what is the hypothenuse ? 482 + 362 = 3600 ; √ 3600 = 60 feet , [ the hypothenuse required . A C B 2. The hypothenuse of a triangle is 53 feet , PRACTICAL APPLICATIONS Mensuration of Lines ...
... feet , and the perpendicular , BC , 36 feet ; what is the hypothenuse ? 482 + 362 = 3600 ; √ 3600 = 60 feet , [ the hypothenuse required . A C B 2. The hypothenuse of a triangle is 53 feet , PRACTICAL APPLICATIONS Mensuration of Lines ...
Page 157
... feet long and 25 feet wide , with a pyr- amidal - shaped roof 10 feet in hight , how long is a rafter which reaches from the vertex of the roof to a corner of the building ? PROBLEM II . To find the area of a PARALLELOGRAM . Multiply ...
... feet long and 25 feet wide , with a pyr- amidal - shaped roof 10 feet in hight , how long is a rafter which reaches from the vertex of the roof to a corner of the building ? PROBLEM II . To find the area of a PARALLELOGRAM . Multiply ...
Page 158
... feet , and the perpendicular distance , EF , between A B and the opposite side CD , is 192 feet . 354 × 192 = 67,968 feet , Ans . D E C A F B 10. How many square feet in a flower - plat , in the form of a rhombus , whose side is 12 feet ...
... feet , and the perpendicular distance , EF , between A B and the opposite side CD , is 192 feet . 354 × 192 = 67,968 feet , Ans . D E C A F B 10. How many square feet in a flower - plat , in the form of a rhombus , whose side is 12 feet ...
Page 159
... feet ; what is the altitude ? 67,968354 = 192 feet , the altitude required . 2. The area of a piece of land in the form of a rhombus is 69,452 square feet , and the perpendicular distance between two of its opposite sides is 194 feet ...
... feet ; what is the altitude ? 67,968354 = 192 feet , the altitude required . 2. The area of a piece of land in the form of a rhombus is 69,452 square feet , and the perpendicular distance between two of its opposite sides is 194 feet ...
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Common terms and phrases
A B C A B equal ABCD ABCDEF adjacent angles allel alternate angles altitude angle ACD angle BAC antecedent base multiplied bases ABC bisect chord circumference cone consequently convex surface cylinder diagonal diameter divided draw the straight equal and parallel equal angles equal bases equal Theo equiangular equivalent feet formed four right angles frustum given straight line greater Greenleaf's half the sum homologous sides hypothenuse included angle inscribed angle inscribed circle interior angles intersection Let ABC line CD magnitudes mean proportional measured by half meet number of sides opposite parallelogram parallelopipedon perimeter perpendicular polyedron prism quadrilateral radii radius ratio rectangle regular polygon rhombus right angles Theo Scholium secant line side A B side BC slant hight Solid sphere square described tangent THEOREM third triangles ABC triangular triangular prism vertex volume
Popular passages
Page 23 - 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.
Page 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.
Page 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 61 - At a point in a given straight line to make an angle equal to a given angle.
Page 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Page 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel. Let...
Page 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...
Page 88 - Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.