Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
Dentro del libro
Resultados 6-10 de 28
Página 136
... altitude . COR . 2. It likewise follows , that the area of any triangle is equal to the product of its base by half its altitude . PROP . XXIV . THEOR . The parallelograms about the diameter of any parallelogram , are similar to the ...
... altitude . COR . 2. It likewise follows , that the area of any triangle is equal to the product of its base by half its altitude . PROP . XXIV . THEOR . The parallelograms about the diameter of any parallelogram , are similar to the ...
Página 150
... altitude are to each other as their bases , we have ABD : ADC :: BD : DC :: B D M : N. SCHOLIUM . A A triangle may evidently be divided into any number of parts propor- tional to given lines , by dividing the base in the same proportion ...
... altitude are to each other as their bases , we have ABD : ADC :: BD : DC :: B D M : N. SCHOLIUM . A A triangle may evidently be divided into any number of parts propor- tional to given lines , by dividing the base in the same proportion ...
Página 166
... altitudes are as their bases ( 1. 6. ) , X : AO :: Y : GP , and again alternately , X : Y :: AO : GP : wherefore , taking the doubles of each , the circumference ABD is to the circumference GHL as the diameter AD to the diameter GL . S ...
... altitudes are as their bases ( 1. 6. ) , X : AO :: Y : GP , and again alternately , X : Y :: AO : GP : wherefore , taking the doubles of each , the circumference ABD is to the circumference GHL as the diameter AD to the diameter GL . S ...
Página 193
... altitude , the in- sisting straight lines of which are terminated in the same straight lines in the plane opposite to the base are equal to one another . Let the solid parallelopipeds AH , AK be upon the same base AB , and of the same ...
... altitude , the in- sisting straight lines of which are terminated in the same straight lines in the plane opposite to the base are equal to one another . Let the solid parallelopipeds AH , AK be upon the same base AB , and of the same ...
Página 194
... altitude , the in- sisting straight lines of which are not terminated in the same straight lines in the plane opposite to the base , are equal to one another . Let the parallelopipeds CM , CN , be upon the same base AB , and of the same ...
... altitude , the in- sisting straight lines of which are not terminated in the same straight lines in the plane opposite to the base , are equal to one another . Let the parallelopipeds CM , CN , be upon the same base AB , and of the same ...
Otras ediciones - Ver todas
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore