The Elements of EuclidJ. M. Dent & sons, 1933 - 298 páginas |
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Página 174
Euclid Isaac Todhunter. PROPOSITION 1. THEOREM . Triangles and parallelograms of the same altitude are to one another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the same altitude , namely , the ...
Euclid Isaac Todhunter. PROPOSITION 1. THEOREM . Triangles and parallelograms of the same altitude are to one another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the same altitude , namely , the ...
Página 290
... altitude ; the volume is thus expressed in cubic inches . Or we may multiply the number of square feet in the base by the number of feet in the altitude ; the volume is thus expressed in cubic feet . By the base of a prism is meant ...
... altitude ; the volume is thus expressed in cubic inches . Or we may multiply the number of square feet in the base by the number of feet in the altitude ; the volume is thus expressed in cubic feet . By the base of a prism is meant ...
Página 291
... altitude . For an account of what are called the fire regular solids the student is referred to the chapter on Polyhedrons in the Treatise on Spherical Trigonometry . THE TWELFTH BOOK . Two propositions are given from the twelfth Book ...
... altitude . For an account of what are called the fire regular solids the student is referred to the chapter on Polyhedrons in the Treatise on Spherical Trigonometry . THE TWELFTH BOOK . Two propositions are given from the twelfth Book ...
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AB is equal ABCD adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC BC is equal bisected centre circle ABC circumference Constr Construction Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore