Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Página 11
... parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate angles AEF , EFD , equal to one another ; AB is parallel to CD . For , if it be not parallel , ÁB and CD being produced shall ...
... parallel . Let the straight line EF , which falls upon the two straight lines AB , CD , make the alternate angles AEF , EFD , equal to one another ; AB is parallel to CD . For , if it be not parallel , ÁB and CD being produced shall ...
Página 12
... parallel to CD . XXIX . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two ...
... parallel to CD . XXIX . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two ...
Página 13
... parallel by the hypothesis ; therefore the angle AGH is not unequal to GHD , that is , it is equal to it ; but the ... parallel to the same straight line are parallel to each other . Let AB , CD , be each of them parallel to EF ; AB is ...
... parallel by the hypothesis ; therefore the angle AGH is not unequal to GHD , that is , it is equal to it ; but the ... parallel to the same straight line are parallel to each other . Let AB , CD , be each of them parallel to EF ; AB is ...
Página 14
... parallel to stratght line BC . XXXII . — If a side of any triangle be produced , the exterior angle is equal to the ... parallel to AB ; and because AB is parallel to CE , and AC meets them , the alternate angles BAC , ACE , are equal ...
... parallel to stratght line BC . XXXII . — If a side of any triangle be produced , the exterior angle is equal to the ... parallel to AB ; and because AB is parallel to CE , and AC meets them , the alternate angles BAC , ACE , are equal ...
Página 15
... parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ; AC , BD , are also equal and parallel . Join BC ; and because AB is parallel to CD , and BC meets them ...
... parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC , BD ; AC , BD , are also equal and parallel . Join BC ; and because AB is parallel to CD , and BC meets them ...
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Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co Sin vista previa disponible - 2015 |
Términos y frases comunes
ABC is equal ABCD acres added angle ABC angle ACD angle BAC base BC bisect BOOK bought centre circle coincide common contained cost cows cubic feet describe diameter difference distance divided double draw equal to BC equation exterior angle fall feet figure Find the value fore four given point given straight line greater half height hour inches interior and opposite join length less Let ABC likewise meet miles Notes opposite opposite angle parallel parallel to CD parallelogram perpendicular pigs produced quantity rectangle rectangle contained remaining angle respectively right angles shillings shown sides solid square of AC STEWART'S triangle ABC twice wherefore whole yards
Pasajes populares
Página 19 - If two triangles have two sides of the one equal to two sides of the...
Página 1 - 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 Perpendicular to it.
Página 8 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Página 16 - Any two sides of a triangle are together greater than the third side.
Página 22 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles.
Página 12 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 5 - IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.