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" The area of a triangle is equal to half the product of the base and height. "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 298
by Jeremiah Day - 1842 - 332 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 332 pages
...is AB, that is, For the area is equal to ABXBC, (Art. 513.) BuUB=.BC, therefore, JlBxBC=AB-X.AB=AB ' 518. The area of a triangle is equal to half the product...the base and height. Thus the area of the triangle J1BG, (Fig. 7.) is equal to half AB into GH or its equal BC, that is, For the area of the parallelogram...
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Elements of the Differential and Integral Calculus

Charles Davies - Calculus - 1836 - 283 pages
...passing through the origin of co-ordinates, and we shall have fF(x)dx-—xy, which proves that the area of a triangle is equal to half the product of the base and perpendicular. 286. It is frequently necessary to find the integral or function, between certain limits...
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First division, comprising Mechanics of fluids, and hydraulic architecture ...

Mechanics - 1837
...triangle are given, its area can easily be found. Thus, the writers on mensuration have shown, that the area of a triangle is equal to half the product of the base drawn into the perpendicular altitude ; consequently, if a be put to denote the area of the triangle...
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Elements of the Differential and Integral Calculus

Charles Davies - Calculus - 1838 - 283 pages
...passing through the origin of co-ordinates, and we shall have fF(x)dx-—xy, which proves that the area of a triangle is equal to half the product of the base and perpendicular. 286. It is frequently necessary to find the integral or function, between certain limits...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 252 pages
...Triangles. 14. A triangle is also half a parallelogram, having the same base and altitude. ~1 15. The area of a triangle is equal to half the product of the base by the altitude ; for, the base multiplied by the altitude gives a rectangle, which is double the triangle....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 332 pages
...square AC, (Fig. 6,) is AB, that is, For the area is eoual to ABxBC. (Art. 513.) But AB=BC, therefore, 518. The area of a triangle is equal to half the product...parallelogram ABCD is (Art. 513.) And by Euc. 41, 1,t if a parallelogram and a triangle are upon the same base, and between the same parallelaj the triangle...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1844 - 252 pages
...For the area is equal to AB x BC. (Art. 388.) But AB=BC, therefore, AB xBC=AB x AB=(AB) 2 . 393. The area of a triangle is equal to half the product of...equal to half AB into GH or its equal BC, that is, a=4 ABxBC. triangle are upon the same base, and between the same paral 1 lels, the triangle is half...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1844 - 252 pages
...(Art. 388.) But AB=BC, therefore, AB xBC=AB x AB=(AB)2. 393. The area of a trinngle is equal to Act//" the product of the base and height. Thus the area...equal to half AB into GH or its equal BC, that is, a=j ABxBC. 239 triangle are upon the same base, and between the same parallels, the triangle is half...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1846 - 252 pages
...a=(AB)2. For the area is equal to ABxBC. (Art. 388.) But AB=BC, therefore, AB xBC=AB x AB=(AB)2. 393. The area of a triangle is equal to half the product of the base and height. Thus tire area of the triangle ABG, (Fig. 7,) is equal to half AB into GH or its equal BC, that is, a=\...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 240 pages
...parallelogram, having the same base and altitude. 15. What is the area of a triangle equal to? The area of a triangle is equal to half the product of the base by the altitude ; for, the base multiplied by the altitude gives a rectangle which is double the triangle....
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