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 5
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15 ...
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15 ...
Página 25
... diameter ; the opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it . Because AB is parallel to CD , and BC meets 4 OF GEOMETRY . BOOK I. 25.
... diameter ; the opposite sides and angles of the figure are equal to one another ; and the diameter BC bisects it . Because AB is parallel to CD , and BC meets 4 OF GEOMETRY . BOOK I. 25.
Página 26
... diameter bisects it ; for AB being equal to CD , and BC common , the two AB , BC are equal to the two DC , CB , each to each ; now the angle ABC is equal to the angle BCD ; therefore the tri- angle ABC is equal ( 1. 1. ) to the triangle ...
... diameter bisects it ; for AB being equal to CD , and BC common , the two AB , BC are equal to the two DC , CB , each to each ; now the angle ABC is equal to the angle BCD ; therefore the tri- angle ABC is equal ( 1. 1. ) to the triangle ...
Página 28
... diameter AB bisects ( 28. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the halves of equal things are equal ( 7. Ax . ) ; therefore the triangle ABC is equal to the ...
... diameter AB bisects ( 28. 1. ) it ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it ; and the halves of equal things are equal ( 7. Ax . ) ; therefore the triangle ABC is equal to the ...
Página 29
... ) of the trian- gle ABC , because the diameter AC divides A B D E C it into two equal parts ; wherefore ABCD is also double of the triangle EBC . PROP . XXXVI . THEOR . The complements of the OF GEOMETRY . BOOK I. 29.
... ) of the trian- gle ABC , because the diameter AC divides A B D E C it into two equal parts ; wherefore ABCD is also double of the triangle EBC . PROP . XXXVI . THEOR . The complements of the OF GEOMETRY . BOOK I. 29.
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