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
... angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a ...
... angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other , is called a ...
Página 6
... equal sides . 19. An isosceles triangle is that which has only two sides equal . AAA 20. A scalene triangle is that ... angles . 24. Of four sided figures , a square is that which has all its sides equal and all its angles right angles ...
... equal sides . 19. An isosceles triangle is that which has only two sides equal . AAA 20. A scalene triangle is that ... angles . 24. Of four sided figures , a square is that which has all its sides equal and all its angles right angles ...
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 ...
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