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" The area of a parallelogram is equal to the product of its base and altitude. "
ELEMENTS OF GEOMETRY AND TRIGONOMETRY - الصفحة 93
بواسطة A. M. LEGENDRE - 1852
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The new practical builder, and workman's companion, المجلد 2

Peter Nicholson - 1823
...rectangle is said to be contained by two of its sides, about any one of its angles. THEOREM 52. 147. The area of a parallelogram is equal to the product of its base and altitude. For the parallelogram ABCD is equal to the rectangle ABEF, which has the same base AB, and the same...

Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - عدد الصفحات: 96
...parallelogram is equivalent to a rectangle which has an equal base and equal altitude. Cor. 2. Hence the area of a parallelogram is equal to the product of its base by its altitude (Prop. 1).* Cor. 3. Hence parallelograms of equal altitudes, are in proportion...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - عدد الصفحات: 226
...the base, and the other the number of linear units contained in the altitude. PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product of its base by its altitude. Cor. Parallelograms of the same base are to each other as their altitudes, and...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - عدد الصفحات: 216
...EF+ AD x FB. THEOREM VIII. The area of any parallelogram is equal to the product of its Lose by its altitude. Let ABCD be any parallelogram, and BE its altitude : then will its area be equal to AB x BE. For, draw AF perpendicular to the base AB, and produce CD to F. Then, the parallelogram BD...

ELEMENTARY GEOMETRY, WITH APPLICATIONS IN MENSURATION.

CHARLES DAVIS, L.L. D. - 1850
...ADxAB=ADxAE+-ADxEF+ADxFB. THEOREM VIII. The area of any parallelogram is equal to the product of its base by its altitude. Let ABCD be any parallelogram, and BE its altitude : then will its area be equal to AB X BE. For, draw AF perpendicular to the base AB, and produce CD to F. Then, the parallelogram BD...

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - عدد الصفحات: 324
...EF+ AD x FB. THEOREM V1H. The area of any parallelogram is equal to the product of its base by its altitude. Let ABCD be any parallelogram, and BE its altitude : then will its area be equal to ABxBE. For, draw AF perpendicular to thn D base AB, and produce CD to F. Then, the parallelogram BD and the...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - عدد الصفحات: 432
...the square on a single one ; on a triple line it is nine times as great, &c. PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product...and BE its altitude: then will its area be equal to AB x BE. Draw BE perpendicular to AB, and complete the rectangle ABEF. The parallelogram ABCD is equiv•...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - عدد الصفحات: 592
...is an equilateral parallelogram or rhojnbus. The diagonals of a rectangle are equal to each other. The area of a parallelogram is equal to the product of its base by its altitude. Any two parallelograms having the same or equal bases are to each other as their...

Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - 1856 - عدد الصفحات: 216
...rectangle is said to be contained by two of its sides, about any one of its angles. THEOREM 43. 111. The area of a parallelogram is equal to the product of its base and altitude. For the parallelogram ABCD is equal to the rectangle ABEF, which has the same base AB, and the same...

Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre - 1857 - عدد الصفحات: 448
...as the square on a single one ; on a triple line it is nine times as great, PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product of its boat and altitude. Let ABCD be any parallelogram, and BE its altitude: then will its area be equal...




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