Elements of Geometry: Including Plane, Solid, and Spherical GeometryE.H. Butler & Company, 1807 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 11
... Q. E. D. PROPOSITION XXIX . Book IV . Two similar polygons are to each other as the squares of any two homologous sides . C L Given - P and P ' the areas of the similar polygons EB and LG respectively . To Prove- = P AB2 P FG2 Dem ...
... Q. E. D. PROPOSITION XXIX . Book IV . Two similar polygons are to each other as the squares of any two homologous sides . C L Given - P and P ' the areas of the similar polygons EB and LG respectively . To Prove- = P AB2 P FG2 Dem ...
Σελίδα 22
... PROPOSITION IV . THEOREM . Ax . 1 Q. E. D. 21. If two straight lines intersect each other , the opposite or vertical angles are equal . B α b с d Given - The straight line AB intersecting CD . To Prove- La = Lc . Dem . - La + b = two ...
... PROPOSITION IV . THEOREM . Ax . 1 Q. E. D. 21. If two straight lines intersect each other , the opposite or vertical angles are equal . B α b с d Given - The straight line AB intersecting CD . To Prove- La = Lc . Dem . - La + b = two ...
Σελίδα 23
... PROPOSITION V. THEOREM . Q. E. D. 22. If a perpendicular is erected at the middle point of a straight line , then 1st . Any point in the perpendicular is equally dis- tant from the extremities of the line . 2d . Any point without the ...
... PROPOSITION V. THEOREM . Q. E. D. 22. If a perpendicular is erected at the middle point of a straight line , then 1st . Any point in the perpendicular is equally dis- tant from the extremities of the line . 2d . Any point without the ...
Σελίδα 29
... Q. E. D. III . Given - PO perpendicular to ST , and PR and PQ oblique lines drawn from P to ST , cutting off unequal ... Q. E. D. COR . - Only two equal straight lines can be drawn from a point to a given straight line . PROPOSITION IX ...
... Q. E. D. III . Given - PO perpendicular to ST , and PR and PQ oblique lines drawn from P to ST , cutting off unequal ... Q. E. D. COR . - Only two equal straight lines can be drawn from a point to a given straight line . PROPOSITION IX ...
Σελίδα 32
... Q. E. D. 34. COR . - A line parallel to one of two parallel lines is parallel to the other also . PROPOSITION XI . THEOREM . 35. Two straight lines in the same plane perpen- dicular to the same straight line are parallel . E B -D Given ...
... Q. E. D. 34. COR . - A line parallel to one of two parallel lines is parallel to the other also . PROPOSITION XI . THEOREM . 35. Two straight lines in the same plane perpen- dicular to the same straight line are parallel . E B -D Given ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Including Plane, Solid, and Spherical Geometry ... George Washington Hull Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Elements of Geometry: Including Plane, Solid, and Spherical Geometry George Washington Hull Δεν υπάρχει διαθέσιμη προεπισκόπηση - 1897 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC² AD² altitude angles are equal arc AC arc MN BC² bisector bisects centre chord circumference circumscribed cone construct a square COR.-The decagon Dem.-Draw diagonals diameter dicular dihedral angles divided draw EFGH equal altitudes equal circles equally distant equiangular equiangular polygon exterior angles Find the locus frustum given circle given point given straight line Given-ABC Given-P Hence homologous hypotenuse intersect isosceles triangle LABC lateral area line joining lines drawn measured by arc middle point number of sides parallelogram parallelopiped perimeter perpen perpendicular to MN plane MN polyhedral angle polyhedrons prism Proof.-For Prove Prove-That pyramid Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon right triangle SCHOLIUM segments slant height sphere spherical triangle square equivalent surface tangent tetrahedrons THEOREM triangle ABC unit of measure vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 327 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 88 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 207 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 99 - In the same circle or in equal circles, equal chords are equally distant from the center; and conversely.
Σελίδα 152 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 10 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 392 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 176 - If from, a point without a circle a secant and a tangent are drawn, the tangent is a mean proportional between the whole secant and the external segment.
Σελίδα 258 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Σελίδα 39 - If two parallel lines are cut by a transversal, the sum of the two interior angles on the same side of the transversal is two right angles.