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 |
Dentro del libro
Resultados 1-5 de 86
Página 6
... produced . 16. A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three ...
... produced . 16. A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three ...
Página 7
... terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY . BOOK I. 7.
... terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. THINGS Which are equal to the same OF GEOMETRY . BOOK I. 7.
Página 13
... produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exte- rior angle ACD is greater than either of the interior OF GEOMETRY ...
... produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exte- rior angle ACD is greater than either of the interior OF GEOMETRY ...
Página 14
... produce BE to F , and make EF equal to BE ; join also FC , and produce AC to G. B A E F D Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the angle AEB is equal ( 8. 1. ) to the angle CEF ...
... produce BE to F , and make EF equal to BE ; join also FC , and produce AC to G. B A E F D Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the angle AEB is equal ( 8. 1. ) to the angle CEF ...
Página 15
... Produce BA to the point D , and make AD equal to AC ; and join DC . D A Because DA is equal to AC , the angle ADC is likewise equal ( 3. 1. ) to ACD ; but the angle BCD is greater than the angle ACD ; therefore the angle BCD is greater ...
... Produce BA to the point D , and make AD equal to AC ; and join DC . D A Because DA is equal to AC , the angle ADC is likewise equal ( 3. 1. ) to ACD ; but the angle BCD is greater than the angle ACD ; therefore the angle BCD is greater ...
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