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" The area of a triangle is equal to half the product of its base by its altitude. "
A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ... - Σελίδα 209
των George Leonard (jr.) - 1841 - 340 σελίδες
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 σελίδες
...D=ABEF, and the area of ABCD==AB xB E, this being the measure of ABEF (100). 102. — The area of any triangle is equal to half the product of its base by its altitude — . By the altitude of a triangle we mean a perpendicular let fall from one of the vertices...

An Elementary Treatise on Plane Trigonometry: With Its Applications to ...

Benjamin Peirce - 1835 - 97 σελίδες
...known. Solution. Let ABC (fig. 2.) be the triangle to be measured, and G the given side. The area of the triangle is equal to half the product of its base by its altitude, or Area of AB C = £ bp. But, by (203), sin. b : sin. B : : c : b, vrhence (391) sin. Fig....

Mental and Practical Arithmetic: Designed for the Use of Academies and Schools

Charles Davies - 1838 - 288 σελίδες
...side BA or the side AC, opposite the right angle, is called the hypothenuse.' The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base of a triangle is 40 yards and the perpendicular 20 yards : what is...

A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard (Jr.) - 1839 - 347 σελίδες
...called the radius. The circumference of a circle has been found by calculation to be about 3,14159 times the diameter ; for rough calculations it may...Half the product of the circumference by the radius. If 20 cubic ft. of water run over a dam in a second, at 6 o'clock in the morning, 16 cubic ft. at 10...

Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - 1844 - 340 σελίδες
...side BA or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base of a triangle is 40 yards and the perpen dicular 20 yards : what is...

An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - 1845 - 449 σελίδες
...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and с the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = i bp. (273) But, by (130), sin. С : sin. В : : с : Ь, whence . с sin....

An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - 1845 - 449 σελίδες
...known. Solution. Let ABC (fig. 2) be the triangle to be measured, and c the given side. The area of the triangle is equal to half the product of its base by its altitude, or area of ABC = £bp. (273) But, by (130), sin. C : sin. B : : c : b, whence _ c sin. B...

Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - 1847 - 360 σελίδες
...side BC, or the side AC, opposite the right angle, is called the hypothenuse. The area or content of a triangle is equal to half the product of its base by its altitude. EXAMPLES. 1. The base, AB, of a triangle is 40 yards, and the perpendicular, CD, 20 yards...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...therefore the area of the parallelogram ABCD is equal to AB X AF. PROPOSITION VI. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. For, complete the parallelogram ABCE. The triangle ABC is half of the parallelo- ^ gram ABCE...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 216 σελίδες
...C : BxC: that is, as A : B. GEOMETRY. Areta of Triangles and Trapezoids. THEOREM IX. The area of a triangle is equal to half the product of its base by its altitude. Let ABC be any triangle and CD its altitude : then will its area be equal to half the product...




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