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The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
A Treatise on Mensuration, Both in Theory and Practice - Page 91
by Charles Hutton - 1788 - 703 pages

Elementary Geometry

William Chauvenet - 1893
...two rectangles are to each other as the products of their bases by their altitudes. PROPOSITION IV. The area of a rectangle is equal to the product of its base and altitude. PROPOSITION V. The area of a parallelogram is equal to the product of its base and...

An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 138 pages
...Theorem. Two rectangles are to each other as the products of their bases and altitudes. 245. Theorem. The area of a rectangle is equal to the product of its base and its altitude. 246. Theorem. Parallelograms having equal bases and equal altitudes are equivalent....

Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 389 pages
...sense than that just stated. With this interpretation, the Corollary is usually stated as follows: The area of a rectangle is equal to the product of its base and altitude. (b) The numbers which represent the measures of the lines may be integral, fractional,...

Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 201 pages
...lower base, what lines represent the altitude ? 14. Show the truth of the principle : PRINCIPLE 16. — The area of a rectangle is equal to the product of its base and altitude. 15. What is the area of a rectangle whose base is 12 inches and altitude half as...

New Franklin Arithmetic: 1st[-2d] Book, Volume 2

...same base and height as the paralFlG 86 , , , . jiv lelogram, though we do not change the area. But the area of a rectangle is equal to the product of its base and height. (Art. 108.) Hence, To find the area of any parallelogram, multiply the base by the...

Sight Arithmetic

William Frothingham Bradbury - Arithmetic - 1895 - 166 pages
...number of linear units in the base multiplied by the number in the altitude. Stated in its usual form, The area of a rectangle is equal to the product of its base by its altitude. 3. What is the area of a rectangle whose base is 15 feet and altitude 12 feet...

Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 50 pages
...The areas of two rectangles are to each other as the products of their bases by their altitudes. 363. The area of a rectangle is equal to the product of its base and altitude. 365. The area of a parallelogram is equal to the product of its base and altitude....

An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of ...

Silas Ellsworth Coleman - Arithmetic - 1897 - 151 pages
...is a familiar fact in the case of rectangles ; the common form of statement for this case being that the area of a rectangle is equal to the product of its length and width. From any rhomboid or rhombus, a rectangle of the same dimensions can be constructed, by cutting...