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 Trigonometry |
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A A D If two triangles have tuo sides and the included angle in the one , equal to two sides and the included angle ... For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line ...
A A D If two triangles have tuo sides and the included angle in the one , equal to two sides and the included angle ... For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line ...
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Whenever in two triangles these three things are equal , namely , BC = EF , B = E , and C = F , it may be inferred that ... If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For ...
Whenever in two triangles these three things are equal , namely , BC = EF , B = E , and C = F , it may be inferred that ... If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For ...
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Hence every equiangular triangle is also equilateral . ... Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the two triangles be ...
Hence every equiangular triangle is also equilateral . ... Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the two triangles be ...
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to two right angles ; but the angles ABC , ABD are E likewise together equal to two right angles : therefore the ... Lot ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the ...
to two right angles ; but the angles ABC , ABD are E likewise together equal to two right angles : therefore the ... Lot ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the ...
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Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle А ABC ; to each of these add the angle ACB ; therefore the angles ACD , ACB are greater than the ...
Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ACD is greater ( 9. 1. ) than the interior and opposite angle А ABC ; to each of these add the angle ACB ; therefore the angles ACD , ACB are greater than the ...
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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole