Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green1863 |
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Σελίδα 3
... earth , or land , and metron , a measure ) , was in its origin an Art and not a Science : it embraced a system of rules , more or less complete , for performing the simpler operations of land - surveying ; but these rules rested on no ...
... earth , or land , and metron , a measure ) , was in its origin an Art and not a Science : it embraced a system of rules , more or less complete , for performing the simpler operations of land - surveying ; but these rules rested on no ...
Σελίδα 34
... earth sin perihelion , than when it is in aphelion . Andthus , -- according to Vitruvius , who composed his work on Architecture , about 15 B.C. - the tops of very high pillars should be made but little tapering , because they will ...
... earth sin perihelion , than when it is in aphelion . Andthus , -- according to Vitruvius , who composed his work on Architecture , about 15 B.C. - the tops of very high pillars should be made but little tapering , because they will ...
Σελίδα 42
... earth's circumference ; for if an arc of 7 ° 12 ′ measures 5000 stadia , the question to be solved , is , —How many stadia are in 360 ° ? с G S For the demonstration of the process , we suppose the circumference GSH to be representative ...
... earth's circumference ; for if an arc of 7 ° 12 ′ measures 5000 stadia , the question to be solved , is , —How many stadia are in 360 ° ? с G S For the demonstration of the process , we suppose the circumference GSH to be representative ...
Σελίδα 46
... earth's centre , A a point on the earth's cir- cumference AB , and Z the zenith of the station A ; S is a star or any heavenly body not in the zenith . By observation take the angle ZAS , the zenith distance at the earth's surface A ...
... earth's centre , A a point on the earth's cir- cumference AB , and Z the zenith of the station A ; S is a star or any heavenly body not in the zenith . By observation take the angle ZAS , the zenith distance at the earth's surface A ...
Σελίδα 62
... earth's diameter , that for practical purposes , as levelling , and ascertaining the height of mountains , we may consider the earth's actual diameter , and the diameter + elevation , as the same quantity , i.e. , BE and LE not sensibly ...
... earth's diameter , that for practical purposes , as levelling , and ascertaining the height of mountains , we may consider the earth's actual diameter , and the diameter + elevation , as the same quantity , i.e. , BE and LE not sensibly ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD adjacent angles altitude angle equal angular point base BC bisected centre circle circumference coincide CON.-Pst Conc construct Deansgate diagonal diameter divided drawn earth's equal bases equal sides equal triangles equil Euclid four rt given line given point given st hypotenuse inference interior angles intersect JOHN HEYWOOD join less Let the st line BC line CD measure meet miles opposite angles parallel parallelogram perpendicular Plane Geometry produced PROP proposition proved Quæs rectangle rectil rectilineal angle rectilineal figure right angles Scale of Equal side AC sides and angles square straight line surface Syene Theodolite theorem thing trapezium vertex Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 36 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 17 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 17 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Σελίδα 41 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.
Σελίδα 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 16 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 54 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 21 - 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.
Σελίδα 22 - 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.
Σελίδα 12 - 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.