Elements of Plane Geometry: For the Use of SchoolsLewis & Sampson, 1844 - 96 sider |
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Side 38
... measured by the perpendicular lines OH , OK , are equal . Fig . 35 . B H K E The lines OH , OK , being drawn from ... measure the distances from O to AE , AB . PROP . IX . THEOREM . Every straight line perpendicular to a radius at its ...
... measured by the perpendicular lines OH , OK , are equal . Fig . 35 . B H K E The lines OH , OK , being drawn from ... measure the distances from O to AE , AB . PROP . IX . THEOREM . Every straight line perpendicular to a radius at its ...
Side 50
... measure sought ; for it is contained in itself once , and in AB , four times . Moreover , any part of CD , as one half , one third , one fourth , & c . , is also a common measure of these lines ; since it obviously will be contained an ...
... measure sought ; for it is contained in itself once , and in AB , four times . Moreover , any part of CD , as one half , one third , one fourth , & c . , is also a common measure of these lines ; since it obviously will be contained an ...
Side 51
... measure of these lines . The given lines are supposed , in the above cases , to have a com- mon measure , and are called commensurable . Fig . 57 . E B It may happen , indeed , that however far we carry the above operation , we shall ...
... measure of these lines . The given lines are supposed , in the above cases , to have a com- mon measure , and are called commensurable . Fig . 57 . E B It may happen , indeed , that however far we carry the above operation , we shall ...
Side 57
... measure of length ; as an inch , a foot , a yard , & c . 9. A superficial unit is a surface , adopted as the meas- ure of surface ; as a square inch , square yard , acre , & c . 10. The area of a figure is the measure of its surface ...
... measure of length ; as an inch , a foot , a yard , & c . 9. A superficial unit is a surface , adopted as the meas- ure of surface ; as a square inch , square yard , acre , & c . 10. The area of a figure is the measure of its surface ...
Side 58
... measure of them ; and the superficial unit will be a square having the linear unit for a side . For ex- ample , if the base of a rectangle was 4 inches , and its altitude 3 inches , then inch would be a common measure ; hence the base ...
... measure of them ; and the superficial unit will be a square having the linear unit for a side . For ex- ample , if the base of a rectangle was 4 inches , and its altitude 3 inches , then inch would be a common measure ; hence the base ...
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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.