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" The area of a triangle is equal to one-half the product of its base and altitude. "
Observational Geometry - Page 186
by William Taylor Campbell - 1899 - 240 pages
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An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of ...

Silas Ellsworth Coleman - Arithmetic - 1897 - 178 pages
...the base. The altitude is the length of the perpendicular from the base to the opposite vertex. The area of a triangle is equal to one-half the product of its base and altitude. EXPLANATION. Add to the given triangle an equal triangle inverted. The two together form a parallelogram...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...+ bf) a. § 370 Draw the diagonal AC. Then area triangle ADC—\ ah, area triangle ABC=$ ab' . [The area of a triangle is equal to one-half the product of its base and altitude.] Adding, area trapezoid ABCD=$ab+$ab'. Ax. II a. QED * The ancient Egyptians attempted to find the area...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...parallelograms having equal altitudes are to each other as their bases. " PROPOSITION VI. THEOREM 370. The area of a triangle is equal to one-half the product of its base and altitude. b B GIVEN the triangle ABC with base b and altitude a. To PROVE area ABC = i a X b. From C draw CX...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...proportional between AD and AE. 5. Quote a theorem, a definition and an axiom used in proving that the area of a triangle is equal to one-half the product of its base and altitude. Write nothing else. JUNE, 1901. (B) 1. Find the longest and shortest lines that can be drawn from a...
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1898 - 250 pages
...rectangle is equal to the product of its base and altitude. (n =ab) In the same way § 306 gives: The area of a triangle is equal to one-half the product of its base and altitude. ab \ § 307 is, when restated : The area of a trapezoid is equal to the product of its mid-parallel...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1898 - 462 pages
...are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 368. The area of a triangle is equal to one-half the product of its base by its altitude. H BD Let ABC be a triangle, AB its base, and DC its altitude. To prove the area of...
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Essentials of Geometry (plane).

Webster Wells - Geometry - 1898 - 264 pages
...The base of an isosceles triangle is 56, and each of the equal sides is 53 ; find its area. 30. The area of a triangle is equal to one-half the product of its perimeter by the radius of the inscribed circle. D B 31. The area of an isosceles right triangle is...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...a triangle are 18 and 12, what is the length of the side of an equivalent square? 3. Show that the area of a triangle is equal to onehalf the product of its perimeter by the radius of the inscribed circle. PROPOSITION VI. THEOREM. 258. The area of a trapezoid...
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Surveying, land surveying, mapping, railroad location, railroad construction ...

International Correspondence Schools - Civil engineering - 1899 - 814 pages
...altitudes are measured with the scale and the areas of the several triangles calculated by the rule : the area of a triangle is equal to one-half the product of its base and altitude. The sum of the areas of the several triangles is equal to the area of the polygon. FIG. 3i(i. 1327....
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The Elements of Civil Engineering: Prepared for Students of the ..., Volume 3

International Correspondence Schools - Civil engineering - 1899 - 798 pages
...altitudes are measured with the scale and the areas of the several triangles calculated by the rule : the area of a triangle is equal to one-half the product of its base and altitude. The sum of the areas of the several triangles is equal to the area of the polygon. FIG. 316. 1327....
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