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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 2
... perpendicular to another ; or to divide a line into two equal parts . A 9. Solution of a problem is the resolution or answer given to it . A Numerical or Numeral solution , is the answer given in numbers . Geometrical solution , is the ...
... perpendicular to another ; or to divide a line into two equal parts . A 9. Solution of a problem is the resolution or answer given to it . A Numerical or Numeral solution , is the answer given in numbers . Geometrical solution , is the ...
Página 10
... perpendicular to its base , and divides that base into two equal parts . In a triangle which is not isosceles , any side may be assumed indifferent- ly as the base ; and the vertex is , in that case , the vertex of the opposite an- gle ...
... perpendicular to its base , and divides that base into two equal parts . In a triangle which is not isosceles , any side may be assumed indifferent- ly as the base ; and the vertex is , in that case , the vertex of the opposite an- gle ...
Página 12
... perpendicular to DC at the point B. The angle DBA is the sum of the angles DBE , EBA : therefore , DBA + ABC is the sum of the three angles DBE , EBA , ABC : but the first of those three angles is a right angle ; and the other two ...
... perpendicular to DC at the point B. The angle DBA is the sum of the angles DBE , EBA : therefore , DBA + ABC is the sum of the three angles DBE , EBA , ABC : but the first of those three angles is a right angle ; and the other two ...
Página 17
... therefore the angle BAC is not less than the angle D AA B EDF and it was shewn that it is not equal to it : therefore the angle BAC is greater than the angle EDF . PROP . XVII . THEOR . A perpendicular is the 3 OF GEOMETRY . BOOK I. 17.
... therefore the angle BAC is not less than the angle D AA B EDF and it was shewn that it is not equal to it : therefore the angle BAC is greater than the angle EDF . PROP . XVII . THEOR . A perpendicular is the 3 OF GEOMETRY . BOOK I. 17.
Página 18
... perpendicular will be the longer . If AB , AC , AD , & c . be lines drawn from the given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB be less than AC , and AC less ...
... perpendicular will be the longer . If AB , AC , AD , & c . be lines drawn from the given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB be less than AC , and AC less ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
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 draw Prob 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