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 7
... equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two ...
... equal , nor its angles right angles . 28. And , lastly , the trapezoid , only two of whose sides are parallel . 29. All other four sided figures are usually called trapeziums . 30. A diagonal is a line which joins the vertices of two ...
Página 9
... angle DFE . PROP . II . THEOR . When two triangles have two angles and the interjacent sides in the one , equal to two angles and the interjacent sides in the other , the triangles are iden- tical , or have their other sides and angles ...
... angle DFE . PROP . II . THEOR . When two triangles have two angles and the interjacent sides in the one , equal to two angles and the interjacent sides in the other , the triangles are iden- tical , or have their other sides and angles ...
Página 10
... equal , namely , BC = EF , B = E , and C = F , it may be inferred that the other three are equal also ; that is , AB = DE , AC = DF , and the angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal ...
... equal , namely , BC = EF , B = E , and C = F , it may be inferred that the other three are equal also ; that is , AB = DE , AC = DF , and the angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal ...
Página 11
... equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of the trian- gle DBC is equal to that of the triangle ( 1. 1. ) ACB , the less to ...
... equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of the trian- gle DBC is equal to that of the triangle ( 1. 1. ) ACB , the less to ...
Página 12
... equal to the angle BGA , and the angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC equal to the whole ...
... equal to the angle BGA , and the angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is equal to the sum of the two angles BGA , CGA , ( Ax . 2. ) that is , the whole an- gle BAC equal to the whole ...
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