Euclid for beginners, books i. and ii., with simple exercises by F.B. HarveyLongmans, Green, and Company, 1880 - 119 σελίδες |
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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 4
... base BC 2. The triangle ABC 3. The angle ABC the base EF . the triangle DEF . the angle DEF . = 4. The angle ACB = the angle DFE . A D Да B CE PROOF . If the triangle ABC be placed upon the triangle DEF so that the point A is on the ...
... base BC 2. The triangle ABC 3. The angle ABC the base EF . the triangle DEF . the angle DEF . = 4. The angle ACB = the angle DFE . A D Да B CE PROOF . If the triangle ABC be placed upon the triangle DEF so that the point A is on the ...
Σελίδα 5
... base BC shall coincide with the whole base EF . For , if the point B coincides with the point E , and the point C coincides with the point F , then , if the whole base BC does not coincide with the whole base EF , we have two straight ...
... base BC shall coincide with the whole base EF . For , if the point B coincides with the point E , and the point C coincides with the point F , then , if the whole base BC does not coincide with the whole base EF , we have two straight ...
Σελίδα 7
... base . Further , because the angle ABG = the angle ACF , and the angle CBG = the angle BCF , as already proved ... BC ; prove that AD is per- pendicular to BC . PROP . VI . THEOREM . If two angles of PROP . V. THEOREM .
... base . Further , because the angle ABG = the angle ACF , and the angle CBG = the angle BCF , as already proved ... BC ; prove that AD is per- pendicular to BC . PROP . VI . THEOREM . If two angles of PROP . V. THEOREM .
Σελίδα 9
... BC from its middle point D , prove , if BA and CA be joined , that BA = CA. PROP . VII . THEOREM . Upon the same base B 3 PROP VI . THEOREM . 9 Therefore, it is proved, as required, that ...
... BC from its middle point D , prove , if BA and CA be joined , that BA = CA. PROP . VII . THEOREM . Upon the same base B 3 PROP VI . THEOREM . 9 Therefore, it is proved, as required, that ...
Σελίδα 10
... base , A , = each other , and having also the sides BC and BD terminated in the other extremity of the base , B , = each other ; Then this supposition will present itself in three cases . CASE I. Where the vertex of each triangle falls ...
... base , A , = each other , and having also the sides BC and BD terminated in the other extremity of the base , B , = each other ; Then this supposition will present itself in three cases . CASE I. Where the vertex of each triangle falls ...
Άλλες εκδόσεις - Προβολή όλων
Euclid for Beginners, Books I. and II., with Simple Exercises by F.B. Harvey Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC and ABD AC and CD adjacent angles alternate angle angle ABC angle ACB angle AGH angle BAC angle CEB angle DEF angle EDF angle GHD Arithmetic BA and AC base BC Beginners bisected CONSTRUCTION.-1 crown 8vo Dictionary double the square draw Edition English Grammar English History equilateral Euclid exterior angle Gallic War Geography given straight line gnomon greater Greek half a right i.e. the angle interior and opposite join Latin Let ABC line be divided LONGMANS Manual note 2 def opposite angle parallel parallelogram post 8vo produced PROOF.-Because Proposition proved Q. E. D. Exercise Q. E. D. PROP rectangle contained rectilineal figure right angles School side AB side AC small 8vo square on AC Stepping-Stone straight line CD THEOREM triangle ABC twice the rect twice the rectangle vols Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 48 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 88 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 14 - To draw a straight line at right angles to a given straight line, from a given point in the same.
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 64 - 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 108 - In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B an acute angle; and on BC one of the sides containing it, let fall the perpendicular...
Σελίδα 47 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line.
Σελίδα 104 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 52 - The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Σελίδα 20 - If, at a point in a straight line, two other straight lines upon the opposite sides of it, make the adjacent angles, together equal to two right angles, these two straight lines shall be in one and the same straight line.