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, 1840 - 317 sider |
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Side 4
... less considerable , it is hoped may in some degree facilitate the study of the Elements . Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the ...
... less considerable , it is hoped may in some degree facilitate the study of the Elements . Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the ...
Side 9
... less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without any reference to the nature of the line or lines which bound it ...
... less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without any reference to the nature of the line or lines which bound it ...
Side 13
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) the straight line AD equal to C ; and ...
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) the straight line AD equal to C ; and ...
Side 14
... less , and join FC , GB . A B C F G Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG com- mon to the two triangles , AFC , AGB ; therefore the ...
... less , and join FC , GB . A B C F G Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG com- mon to the two triangles , AFC , AGB ; therefore the ...
Side 15
... less , and join DC ; therefore , because in the tri- angles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ...
... less , and join DC ; therefore , because in the tri- angles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore