Elements of Plane Geometry: For the Use of SchoolsLewis & Sampson, 1844 - 96 sider |
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Side 52
... proportion , when the ratio , or quotient , of the first and second , is the same as the ratio of the third and fourth : for example , 12 , 6 , 8 , 4 are in pro- portion , because 12 divided by 6 , is equal 52 [ BOOK IV . PROPORTIONS ...
... proportion , when the ratio , or quotient , of the first and second , is the same as the ratio of the third and fourth : for example , 12 , 6 , 8 , 4 are in pro- portion , because 12 divided by 6 , is equal 52 [ BOOK IV . PROPORTIONS ...
Side 53
... proportion , numbers are written thus ; 12 : 6 :: 8 : 4 , which is read , 12 is to 6 , as 8 is to 4 . 3. The numbers which make a proportion are called the terms of the proportion ; the first and last terms are called the extremes , the ...
... proportion , numbers are written thus ; 12 : 6 :: 8 : 4 , which is read , 12 is to 6 , as 8 is to 4 . 3. The numbers which make a proportion are called the terms of the proportion ; the first and last terms are called the extremes , the ...
Side 54
... proportion , they will be in proportion when taken alternately ; that is , so that the first term shall be to the third , as the second is to the fourth . If 12 : 9 : 36 : 27 , then 12 : 36 :: 9:27 ... proportion 54 [ BOOK IV . PROPORTIONS .
... proportion , they will be in proportion when taken alternately ; that is , so that the first term shall be to the third , as the second is to the fourth . If 12 : 9 : 36 : 27 , then 12 : 36 :: 9:27 ... proportion 54 [ BOOK IV . PROPORTIONS .
Side 55
... proportion , or one antecedent and one consequent , contain an equal part , that part may be omitted from the proportion . As , 14:21 6 : 9 ; here the antecedent and consequent both contain 7 , omit- ting which , we have 2:36 : 9 . Cor ...
... proportion , or one antecedent and one consequent , contain an equal part , that part may be omitted from the proportion . As , 14:21 6 : 9 ; here the antecedent and consequent both contain 7 , omit- ting which , we have 2:36 : 9 . Cor ...
Side 59
... proportion to each other as their bases ; and parallelo- grams of equal bases , are to each other as their altitudes . * See Appendix , Problem II . PROP . III . THEOREM . Every triangle is half BOOK V. ] AREAS OF PARALLELOGRAMS . 59.
... proportion to each other as their bases ; and parallelo- grams of equal bases , are to each other as their altitudes . * See Appendix , Problem II . PROP . III . THEOREM . Every triangle is half BOOK V. ] AREAS OF PARALLELOGRAMS . 59.
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Elements of Plane Geometry: For the Use of Schools Nicholas Tillinghast Uten tilgangsbegrensning - 1844 |
Elements of Plane Geometry: For the Use of Schools Nicholas Tillinghast Uten tilgangsbegrensning - 1844 |
Elements of Plane Geometry: For the Use of Schools - Primary Source Edition Nicholas Tillinghast Ingen forhåndsvisning tilgjengelig - 2013 |
Vanlige uttrykk og setninger
ABCD adjacent angles allel alternate angles altitude angle ABC angles ABD angles is equal antecedent and consequent B. I. Ax base centre circle whose radius circumference circumscribed circumscribed circle Converse of Prop describe an arc diagonal diameter divide draw the line equal angles equal B. I. Prop equal chords equal Prop equal respectively equiangular equivalent feet given angle given line given point given side half hence the triangles hypotenuse included angle inscribed angle Let the triangles line drawn linear units longer than AC multiplied number of sides oblique lines parallel to CD parallelogram perimeter perpendicular PROBLEM prove radii rectangle regular polygons respectively equal right angles Prop right-angled triangle Scholium sides AC similar subtended tangent THEOREM three sides triangles ABC triangles are equal vertex
Populære avsnitt
Side 31 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Side 63 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 70 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 53 - In any proportion, the product of the means is equal to the product of the extremes.
Side 87 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 54 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Side 81 - 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.
Side 59 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Side 61 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.
Side 82 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.